information paper
on
Complete Life Table
Complete Life Tables 2003-2006
for Singapore Resident Population
Singapore Department of Statistics
February 2008
Papers in this Information Paper Series are intended to inform and clarify conceptual and methodological
changes and improvements in official statistics. The views expressed are based on the latest
methodological developments in the international statistical community. Statistical estimates presented in
the papers are based on new or revised official statistics compiled from the best available data.
Comments and suggestions are welcome.
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Singapore Department of Statistics
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the Chief Statistician and emailed to the above address.
Complete Life Tables 2003-2006 for Singapore’s Resident Population
I
Introduction
1.
Current life tables depict the mortality experience of a given population,
based on the assumption that this group is subject to the age-specific mortality
rates of the reference period throughout their lives. Life expectancy of persons at
various ages are derived from life tables, and shows the average number of years
that persons (at birth or at a specific age such as age 65 years) might expect to live
if they experience these mortality rates. The derived life expectancies give an
indication of the average longevity of the population, but do not necessarily reflect
the longevity of an individual.
2.
Life tables can be classified into either complete life tables or abridged life
tables according to the length of the age interval in which the data are compiled
and presented. A complete life table contains data for every single year of age. An
abridged life table contains data at 5-year or 10-year age intervals. Abridged life
tables are more commonly produced than complete life tables, and are sufficient
for most purposes when the degree of detail needed is not so great.
3.
The Singapore Department of Statistics (DOS) has been compiling annual
abridged life tables that provide data at 5-year age intervals and up to age 85 years
and over. With the growing proportion of elderly persons in Singapore, and the
greater demand for data at specific ages, there is increasing need for complete life
tables covering single years of age up to age 100 years and over.
4.
DOS has concluded its review of methodology for constructing complete
life table and has compiled the complete life tables for Singapore for the years
2003-2006. This will be an improvement over the abridged life tables as data for
single years of age will be available instead of the current 5-year age groupings
and for older ages beyond the current age cut-off of 85 years.
5.
DOS's release of complete life tables is consistent with the practices in
other countries which issue new/revised life tables based on more refined methods
of constructing life tables. For example, the US National Center for Health
Statistics started to compile complete life tables annually and changed from
closing age 85 years and over to 100 years and over since Dec 19991, prior to
which abridged life tables were produced annually with lower age cut-off at 85
years and over. The Australia Bureau of Statistics revised its life table
1
National Center for Health Statistics. Vital Health and Statistics 2(129). 1999, Method for Constructing
Complete Annual U.S. Life Tables. http://www.cdc.gov/nchs/data/series/sr_02/sr02_129.pdf
1
methodology in Feb 19972 using three years’ population and deaths to reduce the
impact of year-to-year statistical variations. The new methodology also uses
actuarially graduated3 data and excludes Australian residents temporarily overseas.
6.
This paper provides the methodology for constructing complete life tables
for the Singapore resident population. It also presents key trends in life
expectancies based on the complete life tables for 2003-2006.
II
Estimation of Central Death Rates
7.
The complete life table is derived from the probability of death ( q x ), which
is computed from the central death rates ( mx ) for each single year of age x. The
central death rates of the reference year require annual deaths data and the stock
population in Singapore as at the mid-point of the reference year.
8.
The annual deaths data refer to deaths occurring in Singapore among
Singapore residents. The population data refer to Singapore residents (citizens and
Permanent Residents) with usual residence in Singapore.
Derivation and Graduation of Central Death Rates
9.
Given Singapore’s small population size, the number of deaths is sparsely
distributed by single years of age. As a result, the central death rates at single year
of age derived directly from the raw data have significant random fluctuations.
10.
In order to reduce the impact of random fluctuations, the central death rates
for age 04, age group 1-4 years and quinquennial age groups 5-9 years, 10-14 years,
etc are first derived by dividing the 3-year average number of deaths 5 among
Singapore residents by the estimated Singapore resident population in the age
group6.
2
Australian Bureau of Statistics, 3302.0 - Deaths, Australia, 1995.
3
Graduated on the same principles which were used for the quinquennial Australian life tables prepared by
the Australian Government Actuary.
4
Refers to infants below one year old.
5
The approach of using deaths averaged over three years is also adopted by Australia Bureau of Statistics
(ABS) and Statistics New Zealand (SNZ), so as to minimise the impact of year to year random fluctuations
not reflective of the underlying causes or long term movements.
6
For reference year t where the deaths data for year t+1 are not yet available, preliminary death rates are
derived based on the average number of deaths in year t and year t-1.
2
Central death rates at single year of age x are then derived using linear
interpolation. For the purpose of linear interpolation, n m x is treated as the single
year central death rate at the mid-point of its corresponding age group. That is, m7
is set as 5 m5 , m12 as 5 m10 , and so on7. Mortality rate at age 1 ( m1 ) is taken to be
4 m1 without any interpolation to avoid unnecessary distortion due to the
domination of m0 . The remaining values of the single year central death rates are
then derived using linear interpolation method.
11.
12.
To ensure that there is a smooth progression of mortality rates with age, the
derived mx for each single year of age x was graduated using the WhittakerHenderson method of graduation. Graduated death rates m xg are chosen to
minimise the following equation:
n
n -3
x =0
x =0
J = F + hS ≡ ∑ (m xg − m x ) 2 + h ∑ (∆3 m gx ) 2
where mx is the initial estimate of death rate at age x
m xg is the graduated value of the death rate at age x
h is a non-negative parameter
∆ is a forward difference operator
13.
In the equation, F is a measure of fitness and S is a measure of smoothness.
The relative importance of smoothness and fit is determined by the value of h. A
large value will optimise smoothness while a small value will optimise fit. To
balance goodness of fit and smoothness, h is chosen to be 0.58. Small changes in h
have a negligible effect on the overall result.
14.
The death rate at age 0, m0 , is significantly larger than the death rates at
ages 1 to 4. To ensure that the graduated death rates reflect the underlying death
rates at ages 1 to 4, a pseudo m0 (computed as m1 ×
m1
) replaces the original m0
m2
during the graduation process9.
7
n
m x refers to the death rate among persons aged x to x+n-1, where x is the lower limit of the age group
and n refers to the duration in years after age x. In instances where n=1, the left subscript n is omitted
according to usual conventions.
8
This is used in the paper “Estimation of Complete Period Life Tables for Singaporeans” published in the
Journal of Actuarial Practice Vol 11, 2004.
9
This approach is adopted by the Hong Kong Statistics and Census Department.
3
Estimation of Mortality Rates in High Ages
15.
As mortality rates at the oldest ages have very high random fluctuations due
to the small population at risk and small numbers of deaths, model-based mortality
rates are usually substituted for rates based on raw data at the oldest ages. This
approach is practiced by Hong Kong, New Zealand, Canada, and the USA.
16.
The Coale-Kisker method is used to estimate Singapore’s death rates at
single year of age for ages 85 – 99 years10. The Coale-Kisker method assumes a
decline in the rate of increase in mortality in high ages, that is, for age x ≥ 85,
m x = m x −1 × exp(k x ) where k x = k x −1 − R and R is a constant. Details on the derivation
of R are shown in Annex 1.
17.
The graduated death rates at single year of age 0 to 99 years are then used
to construct the complete life table.
III
Construction of the Complete Life Table
18.
The life table functions are computed according to conventional
methodology.
Probability of Dying
19.
For each single year of age x, the probability that a person at age x will die
before reaching age x+1 (i.e. q x ) is computed from the central death rates using
the formulas below:
At age x =0, q0 =
m0
1 + (1 − f 0 )m0
where f 0 is the separation factor derived from historical data.
At ages 1 to 99, q x =
mx
1 + 0.5m x
For the open-ended age group 100 years and over, ∞ q100 = 1 as all persons
will die in this open-ended age group.
10
The Coale-Kisker method is adopted by Statistics Canada, Hong Kong Statistics and Census Department
and the United Nations to estimate mortality rates at old ages for constructing complete life tables.
4
Number of Survivors at Age x
20.
The number of persons living at age 0, l0 , is set at 100,000. For ages
greater than 0, the number of persons expected to be living at each age x is derived
using the proportions dying in each age interval based on the formula
l x = l x −1 − (l x−1 × q x −1 ) .
Number of Deaths between ages x and x+1
21.
The number of persons expected to die between age x and x+1 is obtained
by applying the probability of dying at age x to the number of survivors at the
beginning of that age, that is, d x = l x × q x .
Number of Person-years Lived between ages x and x+1
Lx is the number of person-years lived within the age interval x to x+1 by
22.
survivors at age x. For x ≥ 1, mortality is assumed to be evenly distributed within
the age interval, and therefore Lx = l x +1 + 0.5d x for x ≥ 1.
23.
At age x = 0, deaths tend to be concentrated in the first few months of life.
The formula for L0 is therefore modified using the separation factor f 0 and
computed as L0 = l1 + f 0 d 0 .
24.
For the open-ended age group 100 years and over, ∞ L100 is calculated by
surviving the life table cohort from age 100 until the age at which Lx is essentially
zero. The corresponding values for ages 100 years and over are then summed to
give ∞ L100 .
Total number of Person-Years Lived after Age x
25.
The total number of person-years expected to be lived by survivors at age x
100 +
is obtained by using the formula T x = ∑ L x .
x
Life Expectancy
26.
Life expectancy is the average number of years which a person living at age
x is expected to live. It is derived by dividing the number of person-years expected
to be lived at age x by the number of survivors at age x, that is, e x =
Tx
.
lx
5
IV
Highlights of Results
27.
This section presents key trends in life expectancies and the proportion
expected to be alive at selected ages for the Singapore resident population based
on the complete life table. Data for 2006 are preliminary.
Life Expectancy
28.
Life expectancy at birth is an estimate of the average number of years a
new born baby might expect to live, if he or she were to experience the agespecific mortality rates of the reference period throughout his or her life. Life
expectancy at age 65 years11 is an estimate of the average number of additional
years a person who has reached the age of 65 years might expect to live, if he or
she were to experience the age-specific mortality rates of the reference period for
the remainder of his or her life.
29.
In 2006, a new-born Singapore resident could expect to live to 80 years, up
from 79 years in 2003 (Table 1). Females could expect to live longer than males.
A boy born in 2006 could expect to live an average of 78 years while a girl could
expect to live an average of 83 years.
30.
Life expectancy at age 65 years has also improved. In 2006, the average 65year old male and female can expect to live an average of 17 and 21 more years
respectively compared with 16 and 20 more years respectively in 2003.
Table 1 Life Expectancy of Singapore’s Resident Population
Years
2003
2004
2005
2006P
Total
At Birth
Males
Females
79.1
79.6
80.1
80.4
76.6
77.1
77.6
78.0
81.6
82.0
82.5
82.8
At Age 65 years
Total
Males
Females
18.0
18.4
18.7
19.0
16.2
16.5
16.9
17.2
19.6
20.0
20.4
20.6
Proportion Expected to be Living at Selected Ages
31.
Based on the age-specific mortality rates of the reference period, the
proportion of persons at age x expected to be living at age x+t is computed as the
number of persons expected to be living at age x+t divided by the number of
11
For statistical purpose, the elderly population in Singapore is defined as those aged 65 years and over.
6
persons expected to be living at age x, that is
l x+t
. For a given age x, the
lx
proportion expected to be living at age x+t declines with increasing t.
32.
In 2006, 89 per cent of new-born babies could expect to be living at age 65
years (Chart 1). The proportion of new-born babies alive at older ages decreases
with increasing age, with a faster decline for males than for females. About 33 per
cent of newborn boys could expect to be living at age 85 years compared with 50
per cent of newborn girls.
Chart 1 Proportion of New Born Babies Expected to be Alive at Selected Ages, 2006
Per Cent
89
86
Total
91
Male
Female
79
73
66
50
42
33
10
65
75
85
14
6.2
95
Age (years)
33.
Among persons who were alive at age 65 years in 2006, 39 per cent of
males and 55 per cent of females could expect to be living at age 85 years (Chart
2).
Chart 2 Proportion of Residents Aged 65 years Expected to be Alive at Selected Ages, 2006
Total
Per Cent
82
Male
Female
86
77
55
47
39
12
75
85
15
7.2
95
Age (years)
7
V
International Comparison
Life Expectancy
34.
Singapore’s life expectancy compares favourably with those in selected
developed countries/areas. While Singapore’s life expectancies are lower than
Sweden’s, Australia’s, Hong Kong’s and Japan’s, they are generally higher than
the life expectancies in South Korea and United Kingdom (Charts 3 and 4).
Chart 3 Life Expectancy at Birth
Years
Males
Females
Hong Kong
79.4
Japan
85.8
Japan
79.0
Hong Kong
85.5
Australia
78.7
Australia
78.7
Sweden
78.0
Singapore
76.9
United Kingdom
83.5
Sweden
82.9
Singapore
82.8
South Korea
81.9
USA
75.2
Taiwan
81.4
South Korea
75.1
United Kingdom
81.3
Taiwan
74.9
USA
80.4
Chart 4 Life Expectancy at Age 65 years
Years
Males
Females
Japan
18.5
Japan
23.4
Australia
18.3
Hong Kong
22.9
Hong Kong
18.2
Australia
21.5
Sweden
17.6
Sweden
20.8
Taiwan
17.3
Singapore
20.6
Singapore
17.2
Taiwan
20.2
17.2
USA
20.0
16.9
South Korea
19.9
United Kingdom
19.7
USA
United Kingdom
South Korea
Note:
15.8
(1) Data are reported by countries and refer to the latest data available for the country (Annex 2).
(2) Figure for Singapore refer to 2006 and is preliminary.
8
Proportion Expected to be Alive at Selected Ages
35.
The proportion of Singapore residents expected to be living at age 85 years
is also comparable with selected developed countries/areas (Charts 5 and 6).
Chart 5 Proportion of New Born Babies Expected to be Alive at Age 85
Per Cent
Males
Females
Japan
39
Japan
Australia
38
Hong Kong
Hong Kong
38
Australia
Sweden
36
Singapore
64
60
56
53
Sweden
33
Singapore
50
United Kingdom
31
South Korea
47
USA
31
Taiwan
47
Taiwan
30
United Kingdom
46
USA
45
South Korea
26
Chart 6 Proportion of Persons Aged 65 years Expected to be Alive at Age 85
Per Cent
Males
Females
Japan
45
Japan
Australia
44
Hong Kong
Hong Kong
44
Australia
41
Sweden
69
64
60
58
Sweden
55
Taiwan
39
Singapore
Singapore
39
Taiwan
53
USA
39
USA
52
United Kingdom
37
United Kingdom
52
South Korea
51
South Korea
Note:
32
(1) Data are reported by countries and refer to the latest data available for the country (Annex 2).
(2) Figure for Singapore refer to 2006 and is preliminary.
SINGAPORE DEPARTMENT OF STATISTICS
FEBRUARY 2008
9
References
Anderson, R. (1999). Method for Constructing Complete Annual U.S. Life Tables.
Vital and Health Statistics. 2(129). National Center for Health Statistics.
Australia Bureau of Statistics (1997). Deaths, Australia, 1995. Australia Bureau
of Statistics, Canberra.
Australian Government Actuary (1999). Australian Life Tables 1995-97.
Australian Government Actuary, Canberra.
Benjamin B and Pollard J H. (1980). The Analysis of Mortality and Other
Actuarial Statistics. William Heinemann Ltd: London.
Census and Statistics Department (2007). Hong Kong Life Tables 2001-2036.
Demographic Statistics Section, Census and Statistics Department, Hong Kong.
Chan, W.S. and Li, S.H. (2004). Estimation of Complete Period Life Tables for
Singaporeans. Journal of Actuarial Practice. Vol. 11: 127-146.
Coale, A. and Kisker, E. (1990). Defects in Data on Old-age Mortality in the
United States: New Procedures for Calculating Mortality Schedules and Life
Tables at the Highest Ages. Asian and Pacific Population Forum. 4(1):1-31.
Lowrie, W.B (1993). Multidimensional Whittaker-Henderson Graduations with
Constraints and Mixed Differences. Transactions of the Society of Actuaries: 215–
256.
Mathers CD, Vos T, Lopez AD, Salomon J, Ezzati M (ed.) (2001). National
Burden of Disease Studies: A Practical Guide. Edition 2.0. Global Program on
Evidence for Health Policy. Geneva: World Health Organization.
Shryock HS, Siegel JS, et al. (1971). The Methods and Materials of Demography,
vol. 2. U.S. Census Bureau. Washington: U.S. Government Printing Office.
Statistics Canada (2006). Life Tables, Canada, Provinces and Territories.
Statistics Canada Health Statistics Division, Ottawa, Ontario.
Statistics New Zealand (2004). New Zealand Life Tables, 2000-2002. Statistics
New Zealand, Wellington, New Zealand.
Thomas Buettner and Hania Zlotnik (2005). Prospects for Increasing Longevity as
Assessed by the United Nations. Genus. LXI (No.1).
10
Annex 1
Estimating Mortality Rates at High Ages (Coale-Kisker method)
The Coale-Kisker method assumes a decline in the rate of increase in mortality in
high ages, that is, m x = m x −1 × exp(k x ) .
For age x >= 85 years, define k x = k x −1 − R
where k x = ln
mx
m x −1
Extending the formula up to age 110 yields
k 85 = k 84 − R
k 86 = k 84 − 2R
…
k 110 = k 84 − 26R
Summing the above 26 formulae, we have
k 85 + ... + k 110 = 26k 84 − R (1 + ... + 26)
The left hand side of the equation simplifies to ln(m110 ) − ln(m 84 ) . Solving for R,
we obtain:
R=
26k 84 + ln(m 84 ) − ln(m110 )
……… (1)
351
To minimize the effects of random fluctuations, k 84 is replaced by k *84 , which is
k *84 =
=
k 82 + k 83 + k 84 + k 85 + k 86
5
k 82 + k 83 + 3k 84 − 3R
5
1-1
Similarly, ln(m 84 ) is replaced by ln(m *84 ) , which is defined as
ln(m *84 ) = k *84 + ln(m *83 )
where ln(m *83 ) = ln(
m 82 + m 83 + m 84
)
3
Substituting k *84 and ln(m *84 ) into equation (1), we obtain
m + m 83 + m 84
27
[k 82 + k 83 + 3k 84 ] + ln( 82
) − ln(m110 )
3
R= 5
27 × 3
351 +
5
1-2
Annex 2
Data Sources
(1)
Australia
Reference year: 2004-2006.
Source: Australia Bureau of Statistics. “Deaths, Australia, 2006”. Retrieved
January 7, 2008, from
http://www.ausstats.abs.gov.au/Ausstats/subscriber.nsf/0/D80EDF33BD075923C
A25738D000F4CA9/$File/33020_2006.pdf
(2)
Hong Kong
Reference year: 2006
Source: Census and Statistics Department, Hong Kong. “Hong Kong Life Tables,
1971-2006”. Retrieved January 7, 2008, from
http://www.statistics.gov.hk/stat_table/population/D5320184BXXXXXXXXB.xls
(3)
Japan
Reference year: 2006
Source: Statistics and Information Department, Ministry of Health, Labour and
Welfare, Japan. “Abridged Life Tables for Japan 2006”. Retrieved January 7,
2008, from
http://www.mhlw.go.jp/english/database/db-hw/lifetb06/dl/contents.pdf
(4)
South Korea
Reference year: 2005
Source: Korea National Statistical Office. “Korea Statistical Yearbook 2006”.
(5)
Sweden
Reference year: 2006
Source: Statistics Sweden. “Life Tables 2006”
Retrieved January 28, 2008 from
http://www.scb.se/statistik/BE/BE0101/2006A01a/Be0101Livslängdstabeller_06_
eng.xls
2-1
(6)
Taiwan
Reference year: 2006
Source: Department of Statistics, Ministry of the Interior, Taiwan. “Abridged Life
Tables in Taiwan-Fuchien Area 2006”. Retrieved January 7, 2008, from
http://sowf.moi.gov.tw/stat/english/elife/te95200.htm
(7) United Kingdom
Reference year: 2004-2006
Source: Office for National Statistics, United Kingdom. “Interim Life Tables
2004-06”. Retrieved January 29, 2008, from
http://www.statistics.gov.uk/downloads/theme_population/Interim_Life/ILTUK04
06Reg.xls
(8) USA
Reference year:
a) Life expectancy data refer to 2005 and are preliminary.
b) Data on proportion expected to be living at age 85 years refer to 2004. United
States Life Tables for 2005 are not yet available to compute the statistics.
Source:
Kung HC, Hoyert DL, Xu J, Murphy SL. Deaths: Preliminary Data for 2005.
Health E-Stats. Sep 2007. Retrieved January 7, 2008, from
http://www.cdc.gov/nchs/products/pubs/pubd/hestats/prelimdeaths05/prelimdeaths
05.htm
National Center for Health Statistics “United States Life Tables, 2004”
Retrieved January 29, 2008, from
http://www.cdc.gov/nchs/data/nvsr/nvsr56/nvsr56_09.pdf
2-2
Annex 3
Table 1 Complete Life Table for Singapore Resident Population, 2003
Number of
survivors at
exact age x
lx
Number of
deaths between
exact age x and
age x+1
dx
Number of
person-years
lived between
exact age x and
age x+1
Lx
0.00246
0.00019
0.00018
0.00017
0.00015
100,000
99,754
99,736
99,717
99,700
246
19
18
17
15
99,799
99,745
99,726
99,709
99,693
7,914,439
7,814,640
7,714,895
7,615,169
7,515,460
79.1
78.3
77.4
76.4
75.4
5
6
7
8
9
0.00013
0.00011
0.00010
0.00010
0.00010
99,685
99,672
99,661
99,651
99,641
13
11
10
10
10
99,679
99,667
99,656
99,646
99,636
7,415,767
7,316,088
7,216,422
7,116,766
7,017,120
74.4
73.4
72.4
71.4
70.4
10
11
12
13
14
0.00011
0.00012
0.00013
0.00016
0.00020
99,630
99,619
99,608
99,595
99,579
11
12
13
16
20
99,625
99,614
99,601
99,587
99,569
6,917,484
6,817,860
6,718,246
6,618,645
6,519,058
69.4
68.4
67.4
66.5
65.5
15
16
17
18
19
0.00024
0.00028
0.00031
0.00035
0.00039
99,559
99,535
99,508
99,477
99,441
24
28
31
35
39
99,547
99,522
99,492
99,459
99,422
6,419,489
6,319,942
6,220,420
6,120,928
6,021,469
64.5
63.5
62.5
61.5
60.6
20
21
22
23
24
0.00043
0.00047
0.00049
0.00048
0.00046
99,403
99,360
99,313
99,265
99,216
43
47
49
48
46
99,381
99,336
99,289
99,241
99,193
5,922,047
5,822,666
5,723,329
5,624,040
5,524,800
59.6
58.6
57.6
56.7
55.7
25
26
27
28
29
0.00044
0.00042
0.00041
0.00042
0.00045
99,170
99,127
99,086
99,045
99,004
43
41
41
42
44
99,149
99,106
99,066
99,024
98,982
5,425,606
5,326,458
5,227,351
5,128,286
5,029,261
54.7
53.7
52.8
51.8
50.8
30
31
32
33
34
0.00047
0.00050
0.00053
0.00058
0.00062
98,959
98,913
98,863
98,810
98,753
47
50
53
57
62
98,936
98,888
98,837
98,782
98,723
4,930,280
4,831,344
4,732,456
4,633,619
4,534,837
49.8
48.8
47.9
46.9
45.9
35
36
37
38
39
0.00067
0.00072
0.00079
0.00087
0.00096
98,692
98,625
98,554
98,476
98,391
66
71
78
85
94
98,659
98,590
98,515
98,434
98,344
4,436,115
4,337,456
4,238,866
4,140,351
4,041,918
44.9
44.0
43.0
42.0
41.1
Probability of
dying between
exact age x and
age x+1
qx
0
1
2
3
4
Age x
(years)
Total
person-years
lived after
exact age x
Tx
Expectation
of life at
exact age x
ex
3-1
Annex 3
Table 1 Complete Life Table for Singapore Resident Population, 2003 (Continued)
Number of
survivors at
exact age x
lx
Number of
deaths between
exact age x and
age x+1
dx
Number of
person-years
lived between
exact age x and
age x+1
Lx
0.00105
0.00115
0.00126
0.00141
0.00156
98,296
98,193
98,081
97,957
97,819
103
113
124
138
153
98,245
98,137
98,019
97,888
97,742
3,943,574
3,845,329
3,747,192
3,649,174
3,551,286
40.1
39.2
38.2
37.3
36.3
45
46
47
48
49
0.00173
0.00190
0.00210
0.00234
0.00261
97,666
97,497
97,312
97,108
96,881
169
185
204
228
253
97,582
97,405
97,210
96,995
96,754
3,453,544
3,355,962
3,258,557
3,161,347
3,064,352
35.4
34.4
33.5
32.6
31.6
50
51
52
53
54
0.00289
0.00318
0.00353
0.00396
0.00444
96,628
96,348
96,042
95,703
95,324
279
307
339
379
424
96,488
96,195
95,872
95,513
95,112
2,967,598
2,871,110
2,774,915
2,679,042
2,583,529
30.7
29.8
28.9
28.0
27.1
55
56
57
58
59
0.00494
0.00545
0.00605
0.00675
0.00752
94,900
94,432
93,916
93,349
92,718
469
515
568
630
697
94,666
94,174
93,633
93,033
92,370
2,488,417
2,393,752
2,299,577
2,205,945
2,112,911
26.2
25.3
24.5
23.6
22.8
60
61
62
63
64
0.00830
0.00913
0.01013
0.01140
0.01285
92,021
91,258
90,425
89,509
88,488
764
833
916
1,021
1,137
91,639
90,841
89,967
88,999
87,920
2,020,542
1,928,902
1,838,061
1,748,094
1,659,095
22.0
21.1
20.3
19.5
18.7
65
66
67
68
69
0.01433
0.01586
0.01752
0.01937
0.02130
87,351
86,099
84,734
83,249
81,637
1,252
1,366
1,484
1,612
1,739
86,725
85,416
83,991
82,443
80,767
1,571,176
1,484,450
1,399,034
1,315,043
1,232,600
18.0
17.2
16.5
15.8
15.1
70
71
72
73
74
0.02323
0.02532
0.02797
0.03149
0.03555
79,898
78,042
76,066
73,939
71,610
1,856
1,976
2,128
2,328
2,546
78,970
77,054
75,003
72,775
70,338
1,151,832
1,072,862
995,808
920,805
848,030
14.4
13.7
13.1
12.5
11.8
75
76
77
78
79
0.03976
0.04397
0.04829
0.05283
0.05748
69,065
66,319
63,403
60,341
57,153
2,746
2,916
3,062
3,188
3,285
67,692
64,861
61,872
58,747
55,510
777,693
710,001
645,141
583,269
524,522
11.3
10.7
10.2
9.7
9.2
Probability of
dying between
exact age x and
age x+1
qx
40
41
42
43
44
Age x
(years)
Total
person-years
lived after
exact age x
Tx
Expectation
of life at
exact age x
ex
3-2
Annex 3
Table 1 Complete Life Table for Singapore Resident Population, 2003 (Continued)
Number of
survivors at
exact age x
lx
Number of
deaths between
exact age x and
age x+1
dx
Number of
person-years
lived between
exact age x and
age x+1
Lx
Total
person-years
lived after
exact age x
Tx
Expectation
of life at
exact age x
ex
0.06210
0.06681
0.07202
0.07814
0.08522
53,868
50,523
47,147
43,752
40,333
3,345
3,376
3,395
3,419
3,437
52,195
48,835
45,449
42,042
38,614
469,012
416,816
367,981
322,532
280,490
8.7
8.3
7.8
7.4
7.0
85
86
87
88
89
0.09259
0.10056
0.10918
0.11848
0.12853
36,895
33,479
30,113
26,825
23,647
3,416
3,367
3,288
3,178
3,039
35,187
31,796
28,469
25,236
22,127
241,876
206,689
174,893
146,424
121,188
6.6
6.2
5.8
5.5
5.1
90
91
92
93
94
0.13937
0.15105
0.16362
0.17713
0.19165
20,607
17,735
15,056
12,593
10,362
2,872
2,679
2,463
2,231
1,986
19,171
16,396
13,825
11,478
9,369
99,061
79,890
63,494
49,669
38,191
4.8
4.5
4.2
3.9
3.7
95
96
97
98
99
0.20722
0.22389
0.24173
0.26078
0.28110
8,376
6,641
5,154
3,908
2,889
1,736
1,487
1,246
1,019
812
7,509
5,897
4,531
3,398
2,483
28,822
21,314
15,416
10,885
7,487
3.4
3.2
3.0
2.8
2.6
100+
1.00000
2,077
2,077
5,004
5,004
2.4
Probability of
dying between
exact age x and
age x+1
qx
80
81
82
83
84
Age x
(years)
3-3
Annex 3
Table 2 Complete Life Table for Singapore Resident Males, 2003
Number of
survivors at
exact age x
lx
Number of
deaths between
exact age x and
age x+1
dx
Number of
person-years
lived between
exact age x and
age x+1
Lx
0.00282
0.00021
0.00020
0.00019
0.00017
100,000
99,718
99,697
99,677
99,659
282
21
20
19
17
99,769
99,708
99,687
99,668
99,650
7,663,601
7,563,833
7,464,125
7,364,438
7,264,770
76.6
75.9
74.9
73.9
72.9
5
6
7
8
9
0.00015
0.00013
0.00012
0.00012
0.00012
99,642
99,627
99,613
99,601
99,589
15
13
12
12
12
99,634
99,620
99,607
99,595
99,583
7,165,120
7,065,486
6,965,866
6,866,259
6,766,664
71.9
70.9
69.9
68.9
67.9
10
11
12
13
14
0.00013
0.00013
0.00015
0.00018
0.00023
99,577
99,564
99,551
99,537
99,519
12
13
15
18
23
99,571
99,558
99,544
99,528
99,507
6,667,081
6,567,510
6,467,952
6,368,408
6,268,881
67.0
66.0
65.0
64.0
63.0
15
16
17
18
19
0.00028
0.00032
0.00037
0.00043
0.00050
99,496
99,469
99,436
99,399
99,356
27
32
37
43
50
99,482
99,452
99,418
99,378
99,331
6,169,373
6,069,891
5,970,439
5,871,021
5,771,643
62.0
61.0
60.0
59.1
58.1
20
21
22
23
24
0.00057
0.00063
0.00067
0.00066
0.00063
99,307
99,250
99,188
99,122
99,056
56
63
66
66
63
99,278
99,219
99,155
99,089
99,024
5,672,312
5,573,033
5,473,814
5,374,660
5,275,571
57.1
56.2
55.2
54.2
53.3
25
26
27
28
29
0.00060
0.00057
0.00056
0.00057
0.00060
98,993
98,934
98,878
98,823
98,766
59
56
55
56
59
98,963
98,906
98,850
98,795
98,737
5,176,547
5,077,583
4,978,678
4,879,827
4,781,033
52.3
51.3
50.4
49.4
48.4
30
31
32
33
34
0.00064
0.00067
0.00071
0.00076
0.00081
98,707
98,644
98,578
98,508
98,433
63
66
70
75
80
98,676
98,611
98,543
98,470
98,393
4,682,296
4,583,620
4,485,009
4,386,467
4,287,996
47.4
46.5
45.5
44.5
43.6
35
36
37
38
39
0.00086
0.00091
0.00099
0.00110
0.00122
98,353
98,269
98,179
98,082
97,974
84
90
97
108
120
98,311
98,224
98,130
98,028
97,914
4,189,603
4,091,292
3,993,068
3,894,938
3,796,910
42.6
41.6
40.7
39.7
38.8
Probability of
dying between
exact age x and
age x+1
qx
0
1
2
3
4
Age x
(years)
Total
person-years
lived after
exact age x
Tx
Expectation
of life at
exact age x
ex
3-4
Annex 3
Table 2 Complete Life Table for Singapore Resident Males, 2003 (Continued)
Number of
survivors at
exact age x
lx
Number of
deaths between
exact age x and
age x+1
dx
Number of
person-years
lived between
exact age x and
age x+1
Lx
0.00135
0.00148
0.00163
0.00181
0.00200
97,855
97,723
97,578
97,419
97,242
132
145
159
176
195
97,789
97,650
97,498
97,330
97,145
3,698,996
3,601,207
3,503,557
3,406,059
3,308,729
37.8
36.9
35.9
35.0
34.0
45
46
47
48
49
0.00220
0.00240
0.00265
0.00294
0.00325
97,048
96,834
96,602
96,346
96,063
213
233
256
283
312
96,941
96,718
96,474
96,205
95,907
3,211,584
3,114,643
3,017,925
2,921,451
2,825,246
33.1
32.2
31.2
30.3
29.4
50
51
52
53
54
0.00357
0.00392
0.00436
0.00494
0.00561
95,751
95,409
95,035
94,621
94,154
342
374
414
467
528
95,580
95,222
94,828
94,388
93,890
2,729,339
2,633,759
2,538,537
2,443,709
2,349,321
28.5
27.6
26.7
25.8
25.0
55
56
57
58
59
0.00630
0.00702
0.00782
0.00875
0.00976
93,626
93,036
92,382
91,660
90,857
590
653
723
802
886
93,331
92,709
92,021
91,259
90,414
2,255,431
2,162,100
2,069,391
1,977,370
1,886,112
24.1
23.2
22.4
21.6
20.8
60
61
62
63
64
0.01077
0.01185
0.01315
0.01480
0.01666
89,971
89,002
87,948
86,791
85,507
969
1,054
1,156
1,284
1,424
89,487
88,475
87,370
86,149
84,795
1,795,697
1,706,211
1,617,736
1,530,366
1,444,217
20.0
19.2
18.4
17.6
16.9
65
66
67
68
69
0.01858
0.02054
0.02267
0.02504
0.02750
84,083
82,521
80,825
78,993
77,015
1,562
1,695
1,833
1,978
2,118
83,302
81,673
79,909
78,004
75,956
1,359,422
1,276,120
1,194,447
1,114,538
1,036,534
16.2
15.5
14.8
14.1
13.5
70
71
72
73
74
0.02996
0.03262
0.03599
0.04048
0.04568
74,897
72,653
70,283
67,753
65,011
2,244
2,370
2,530
2,742
2,969
73,775
71,468
69,018
66,382
63,526
960,578
886,803
815,334
746,316
679,934
12.8
12.2
11.6
11.0
10.5
75
76
77
78
79
0.05107
0.05639
0.06161
0.06671
0.07166
62,041
58,873
55,553
52,131
48,653
3,168
3,320
3,422
3,478
3,486
60,457
57,213
53,842
50,392
46,910
616,408
555,951
498,738
444,896
394,504
9.9
9.4
9.0
8.5
8.1
Probability of
dying between
exact age x and
age x+1
qx
40
41
42
43
44
Age x
(years)
Total
person-years
lived after
exact age x
Tx
Expectation
of life at
exact age x
ex
3-5
Annex 3
Table 2 Complete Life Table for Singapore Resident Males, 2003 (Continued)
Number of
survivors at
exact age x
lx
Number of
deaths between
exact age x and
age x+1
dx
Number of
person-years
lived between
exact age x and
age x+1
Lx
Total
person-years
lived after
exact age x
Tx
Expectation
of life at
exact age x
ex
0.07642
0.08122
0.08670
0.09356
0.10227
45,167
41,715
38,327
35,004
31,729
3,452
3,388
3,323
3,275
3,245
43,441
40,021
36,665
33,367
30,107
347,594
304,153
264,132
227,467
194,100
7.7
7.3
6.9
6.5
6.1
85
86
87
88
89
0.11091
0.12024
0.13030
0.14114
0.15281
28,484
25,325
22,280
19,377
16,642
3,159
3,045
2,903
2,735
2,543
26,905
23,803
20,828
18,010
15,371
163,994
137,089
113,286
92,458
74,448
5.8
5.4
5.1
4.8
4.5
90
91
92
93
94
0.16535
0.17883
0.19328
0.20877
0.22535
14,099
11,768
9,663
7,796
6,168
2,331
2,104
1,868
1,628
1,390
12,933
10,716
8,730
6,982
5,473
59,078
46,144
35,429
26,699
19,717
4.2
3.9
3.7
3.4
3.2
95
96
97
98
99
0.24307
0.26197
0.28211
0.30352
0.32625
4,778
3,617
2,669
1,916
1,335
1,161
947
753
582
435
4,197
3,143
2,293
1,625
1,117
14,244
10,047
6,904
4,611
2,986
3.0
2.8
2.6
2.4
2.2
100+
1.00000
899
899
1,869
1,869
2.1
Probability of
dying between
exact age x and
age x+1
qx
80
81
82
83
84
Age x
(years)
3-6
Annex 3
Table 3 Complete Life Table for Singapore Resident Females, 2003
Number of
survivors at
exact age x
lx
Number of
deaths between
exact age x and
age x+1
dx
Number of
person-years
lived between
exact age x and
age x+1
Lx
0.00207
0.00017
0.00016
0.00015
0.00013
100,000
99,793
99,776
99,759
99,744
207
17
16
15
13
99,830
99,784
99,768
99,752
99,738
8,155,364
8,055,534
7,955,750
7,855,982
7,756,230
81.6
80.7
79.7
78.7
77.8
5
6
7
8
9
0.00011
0.00009
0.00008
0.00008
0.00009
99,731
99,720
99,711
99,703
99,695
11
9
8
8
9
99,726
99,716
99,707
99,699
99,691
7,656,492
7,556,766
7,457,051
7,357,343
7,257,644
76.8
75.8
74.8
73.8
72.8
10
11
12
13
14
0.00009
0.00010
0.00011
0.00014
0.00017
99,687
99,677
99,667
99,656
99,642
9
10
11
14
17
99,682
99,672
99,662
99,649
99,634
7,157,953
7,058,271
6,958,599
6,858,937
6,759,288
71.8
70.8
69.8
68.8
67.8
15
16
17
18
19
0.00020
0.00023
0.00025
0.00027
0.00028
99,626
99,606
99,583
99,558
99,532
20
23
25
27
28
99,616
99,595
99,571
99,545
99,517
6,659,654
6,560,038
6,460,443
6,360,872
6,261,327
66.8
65.9
64.9
63.9
62.9
20
21
22
23
24
0.00030
0.00031
0.00031
0.00031
0.00030
99,503
99,474
99,444
99,413
99,382
29
30
31
31
30
99,489
99,459
99,428
99,397
99,367
6,161,810
6,062,321
5,962,862
5,863,434
5,764,037
61.9
60.9
60.0
59.0
58.0
25
26
27
28
29
0.00029
0.00028
0.00027
0.00028
0.00030
99,352
99,324
99,297
99,269
99,241
28
27
27
28
30
99,338
99,310
99,283
99,255
99,226
5,664,670
5,565,332
5,466,022
5,366,739
5,267,483
57.0
56.0
55.0
54.1
53.1
30
31
32
33
34
0.00032
0.00034
0.00037
0.00040
0.00045
99,211
99,179
99,145
99,109
99,069
32
34
37
40
44
99,195
99,162
99,127
99,089
99,047
5,168,257
5,069,062
4,969,900
4,870,773
4,771,684
52.1
51.1
50.1
49.1
48.2
35
36
37
38
39
0.00049
0.00054
0.00059
0.00064
0.00069
99,024
98,976
98,922
98,864
98,801
49
53
58
63
68
99,000
98,949
98,893
98,833
98,767
4,672,637
4,573,637
4,474,688
4,375,795
4,276,962
47.2
46.2
45.2
44.3
43.3
Probability of
dying between
exact age x and
age x+1
qx
0
1
2
3
4
Age x
(years)
Total
person-years
lived after
exact age x
Tx
Expectation
of life at
exact age x
ex
3-7
Annex 3
Table 3 Complete Life Table for Singapore Resident Females, 2003 (Continued)
Number of
survivors at
exact age x
lx
Number of
deaths between
exact age x and
age x+1
dx
Number of
person-years
lived between
exact age x and
age x+1
Lx
0.00075
0.00081
0.00089
0.00099
0.00112
98,733
98,659
98,579
98,492
98,394
74
80
87
98
110
98,696
98,619
98,536
98,443
98,339
4,178,195
4,079,499
3,980,880
3,882,345
3,783,902
42.3
41.3
40.4
39.4
38.5
45
46
47
48
49
0.00124
0.00138
0.00154
0.00174
0.00196
98,284
98,162
98,026
97,876
97,705
122
135
151
170
192
98,223
98,094
97,951
97,791
97,610
3,685,562
3,587,339
3,489,245
3,391,294
3,293,504
37.5
36.5
35.6
34.6
33.7
50
51
52
53
54
0.00220
0.00244
0.00269
0.00298
0.00328
97,514
97,299
97,062
96,801
96,512
214
237
261
288
316
97,406
97,181
96,931
96,656
96,354
3,195,894
3,098,488
3,001,307
2,904,376
2,807,719
32.8
31.8
30.9
30.0
29.1
55
56
57
58
59
0.00358
0.00390
0.00430
0.00480
0.00536
96,196
95,852
95,478
95,068
94,612
344
374
410
456
508
96,024
95,665
95,273
94,840
94,358
2,711,365
2,615,341
2,519,676
2,424,403
2,329,563
28.2
27.3
26.4
25.5
24.6
60
61
62
63
64
0.00594
0.00656
0.00730
0.00824
0.00931
94,104
93,545
92,932
92,254
91,493
559
613
678
760
852
93,825
93,238
92,593
91,873
91,067
2,235,206
2,141,381
2,048,143
1,955,550
1,863,677
23.8
22.9
22.0
21.2
20.4
65
66
67
68
69
0.01041
0.01155
0.01282
0.01427
0.01580
90,641
89,698
88,661
87,525
86,276
944
1,036
1,137
1,249
1,363
90,169
89,179
88,093
86,900
85,594
1,772,609
1,682,440
1,593,260
1,505,167
1,418,267
19.6
18.8
18.0
17.2
16.4
70
71
72
73
74
0.01734
0.01903
0.02120
0.02413
0.02752
84,912
83,439
81,852
80,116
78,183
1,473
1,588
1,736
1,934
2,152
84,176
82,646
80,984
79,150
77,107
1,332,674
1,248,498
1,165,852
1,084,868
1,005,718
15.7
15.0
14.2
13.5
12.9
75
76
77
78
79
0.03102
0.03460
0.03848
0.04287
0.04756
76,031
73,672
71,124
68,387
65,455
2,359
2,549
2,737
2,932
3,113
74,852
72,398
69,755
66,921
63,898
928,611
853,760
781,362
711,607
644,686
12.2
11.6
11.0
10.4
9.8
Probability of
dying between
exact age x and
age x+1
qx
40
41
42
43
44
Age x
(years)
Total
person-years
lived after
exact age x
Tx
Expectation
of life at
exact age x
ex
3-8
Annex 3
Table 3 Complete Life Table for Singapore Resident Females, 2003 (Continued)
Number of
survivors at
exact age x
lx
Number of
deaths between
exact age x and
age x+1
dx
Number of
person-years
lived between
exact age x and
age x+1
Lx
Total
person-years
lived after
exact age x
Tx
Expectation
of life at
exact age x
ex
0.05230
0.05712
0.06239
0.06851
0.07548
62,342
59,081
55,707
52,231
48,653
3,260
3,375
3,475
3,579
3,672
60,711
57,394
53,969
50,442
46,817
580,787
520,076
462,682
408,713
358,271
9.3
8.8
8.3
7.8
7.4
85
86
87
88
89
0.08283
0.09082
0.09948
0.10885
0.11899
44,981
41,255
37,508
33,777
30,100
3,726
3,747
3,731
3,677
3,582
43,118
39,381
35,643
31,939
28,309
311,455
268,337
228,955
193,313
161,374
6.9
6.5
6.1
5.7
5.4
90
91
92
93
94
0.12993
0.14172
0.15441
0.16804
0.18265
26,519
23,073
19,803
16,745
13,932
3,446
3,270
3,058
2,814
2,545
24,796
21,438
18,274
15,338
12,659
133,065
108,269
86,831
68,557
53,218
5.0
4.7
4.4
4.1
3.8
95
96
97
98
99
0.19828
0.21498
0.23278
0.25171
0.27180
11,387
9,129
7,167
5,498
4,114
2,258
1,963
1,668
1,384
1,118
10,258
8,148
6,332
4,806
3,555
40,559
30,301
22,153
15,821
11,014
3.6
3.3
3.1
2.9
2.7
100+
1.00000
2,996
2,996
7,459
7,459
2.5
Probability of
dying between
exact age x and
age x+1
qx
80
81
82
83
84
Age x
(years)
3-9
Annex 3
Table 4 Complete Life Table for Singapore Resident Population, 2004
Number of
survivors at
exact age x
lx
Number of
deaths between
exact age x and
age x+1
dx
Number of
person-years
lived between
exact age x and
age x+1
Lx
0.00227
0.00019
0.00018
0.00017
0.00015
100,000
99,773
99,754
99,736
99,719
227
19
18
17
15
99,814
99,763
99,745
99,727
99,711
7,963,198
7,863,384
7,763,620
7,663,876
7,564,148
79.6
78.8
77.8
76.8
75.9
5
6
7
8
9
0.00014
0.00012
0.00011
0.00011
0.00011
99,703
99,689
99,677
99,667
99,656
14
12
11
11
11
99,696
99,683
99,672
99,661
99,651
7,464,438
7,364,741
7,265,058
7,165,386
7,065,725
74.9
73.9
72.9
71.9
70.9
10
11
12
13
14
0.00011
0.00011
0.00013
0.00015
0.00018
99,645
99,634
99,623
99,610
99,595
11
11
13
15
18
99,640
99,628
99,616
99,603
99,586
6,966,074
6,866,434
6,766,806
6,667,190
6,567,587
69.9
68.9
67.9
66.9
65.9
15
16
17
18
19
0.00022
0.00025
0.00028
0.00032
0.00037
99,577
99,556
99,531
99,503
99,470
21
25
28
32
37
99,566
99,543
99,517
99,486
99,452
6,468,001
6,368,434
6,268,891
6,169,375
6,069,888
65.0
64.0
63.0
62.0
61.0
20
21
22
23
24
0.00041
0.00045
0.00048
0.00047
0.00045
99,434
99,393
99,347
99,300
99,253
41
45
47
47
44
99,413
99,370
99,324
99,277
99,231
5,970,436
5,871,023
5,771,653
5,672,329
5,573,052
60.0
59.1
58.1
57.1
56.1
25
26
27
28
29
0.00042
0.00039
0.00038
0.00039
0.00042
99,209
99,167
99,128
99,091
99,052
41
39
38
39
42
99,188
99,148
99,110
99,071
99,031
5,473,822
5,374,634
5,275,486
5,176,376
5,077,305
55.2
54.2
53.2
52.2
51.3
30
31
32
33
34
0.00045
0.00048
0.00051
0.00055
0.00060
99,010
98,965
98,918
98,867
98,812
45
48
51
55
59
98,988
98,941
98,892
98,839
98,783
4,978,274
4,879,287
4,780,345
4,681,453
4,582,614
50.3
49.3
48.3
47.4
46.4
35
36
37
38
39
0.00064
0.00069
0.00075
0.00083
0.00092
98,753
98,690
98,622
98,548
98,466
63
68
74
82
91
98,721
98,656
98,585
98,507
98,421
4,483,831
4,385,110
4,286,454
4,187,869
4,089,362
45.4
44.4
43.5
42.5
41.5
Probability of
dying between
exact age x and
age x+1
qx
0
1
2
3
4
Age x
(years)
Total
person-years
lived after
exact age x
Tx
Expectation
of life at
exact age x
ex
3-10
Annex 3
Table 4 Complete Life Table for Singapore Resident Population, 2004 (Continued)
Number of
survivors at
exact age x
lx
Number of
deaths between
exact age x and
age x+1
dx
Number of
person-years
lived between
exact age x and
age x+1
Lx
0.00102
0.00112
0.00123
0.00137
0.00152
98,375
98,275
98,165
98,044
97,909
100
110
121
135
149
98,325
98,220
98,105
97,977
97,835
3,990,941
3,892,616
3,794,396
3,696,291
3,598,315
40.6
39.6
38.7
37.7
36.8
45
46
47
48
49
0.00167
0.00184
0.00203
0.00228
0.00255
97,760
97,597
97,418
97,220
96,999
164
179
198
221
247
97,679
97,507
97,319
97,109
96,875
3,500,480
3,402,801
3,305,294
3,207,975
3,110,866
35.8
34.9
33.9
33.0
32.1
50
51
52
53
54
0.00283
0.00312
0.00346
0.00388
0.00435
96,752
96,478
96,177
95,844
95,472
274
301
333
372
415
96,615
96,327
96,010
95,658
95,264
3,013,991
2,917,376
2,821,048
2,725,038
2,629,380
31.2
30.2
29.3
28.4
27.5
55
56
57
58
59
0.00482
0.00532
0.00588
0.00652
0.00720
95,057
94,598
94,095
93,542
92,932
459
503
553
610
670
94,828
94,347
93,818
93,237
92,598
2,534,116
2,439,288
2,344,942
2,251,123
2,157,886
26.7
25.8
24.9
24.1
23.2
60
61
62
63
64
0.00790
0.00864
0.00957
0.01076
0.01213
92,263
91,534
90,743
89,875
88,907
729
791
868
967
1,079
91,898
91,139
90,309
89,391
88,368
2,065,289
1,973,390
1,882,252
1,791,943
1,702,552
22.4
21.6
20.7
19.9
19.1
65
66
67
68
69
0.01354
0.01499
0.01657
0.01835
0.02023
87,829
86,640
85,341
83,927
82,387
1,189
1,299
1,414
1,540
1,667
87,234
85,990
84,634
83,157
81,553
1,614,183
1,526,949
1,440,959
1,356,325
1,273,169
18.4
17.6
16.9
16.2
15.5
70
71
72
73
74
0.02214
0.02416
0.02658
0.02961
0.03299
80,719
78,933
77,026
74,979
72,758
1,787
1,907
2,047
2,220
2,401
79,826
77,979
76,002
73,868
71,558
1,191,616
1,111,790
1,033,811
957,808
883,940
14.8
14.1
13.4
12.8
12.1
75
76
77
78
79
0.03645
0.04003
0.04406
0.04883
0.05404
70,358
67,793
65,079
62,212
59,174
2,565
2,714
2,867
3,038
3,198
69,075
66,436
63,646
60,693
57,576
812,382
743,307
676,870
613,224
552,531
11.5
11.0
10.4
9.9
9.3
Probability of
dying between
exact age x and
age x+1
qx
40
41
42
43
44
Age x
(years)
Total
person-years
lived after
exact age x
Tx
Expectation
of life at
exact age x
ex
3-11
Annex 3
Table 4 Complete Life Table for Singapore Resident Population, 2004 (Continued)
Number of
survivors at
exact age x
lx
Number of
deaths between
exact age x and
age x+1
dx
Number of
person-years
lived between
exact age x and
age x+1
Lx
Total
person-years
lived after
exact age x
Tx
Expectation
of life at
exact age x
ex
0.05935
0.06467
0.07027
0.07645
0.08321
55,977
52,655
49,249
45,788
42,288
3,322
3,405
3,461
3,501
3,519
54,316
50,952
47,519
44,038
40,528
494,956
440,640
389,688
342,169
298,131
8.8
8.4
7.9
7.5
7.1
85
86
87
88
89
0.09049
0.09838
0.10691
0.11613
0.12610
38,769
35,261
31,792
28,393
25,096
3,508
3,469
3,399
3,297
3,165
37,015
33,526
30,093
26,744
23,514
257,602
220,588
187,061
156,969
130,224
6.6
6.3
5.9
5.5
5.2
90
91
92
93
94
0.13686
0.14847
0.16098
0.17444
0.18891
21,931
18,930
16,119
13,524
11,165
3,002
2,810
2,595
2,359
2,109
20,430
17,524
14,822
12,345
10,111
106,711
86,280
68,756
53,934
41,589
4.9
4.6
4.3
4.0
3.7
95
96
97
98
99
0.20445
0.22111
0.23894
0.25801
0.27836
9,056
7,204
5,612
4,271
3,169
1,851
1,593
1,341
1,102
882
8,130
6,408
4,941
3,720
2,728
31,479
23,348
16,940
11,999
8,280
3.5
3.2
3.0
2.8
2.6
100+
1.00000
2,287
2,287
5,552
5,552
2.4
Probability of
dying between
exact age x and
age x+1
qx
80
81
82
83
84
Age x
(years)
3-12
Annex 3
Table 5 Complete Life Table for Singapore Resident Males, 2004
Number of
survivors at
exact age x
lx
Number of
deaths between
exact age x and
age x+1
dx
Number of
person-years
lived between
exact age x and
age x+1
Lx
0.00255
0.00020
0.00020
0.00018
0.00017
100,000
99,745
99,725
99,705
99,686
255
20
20
18
17
99,791
99,735
99,715
99,696
99,678
7,711,192
7,611,401
7,511,667
7,411,952
7,312,256
77.1
76.3
75.3
74.3
73.4
5
6
7
8
9
0.00015
0.00013
0.00012
0.00012
0.00012
99,670
99,655
99,642
99,629
99,618
15
13
12
12
12
99,662
99,648
99,635
99,623
99,612
7,212,578
7,112,916
7,013,268
6,913,632
6,814,009
72.4
71.4
70.4
69.4
68.4
10
11
12
13
14
0.00012
0.00012
0.00013
0.00017
0.00021
99,606
99,594
99,582
99,569
99,552
12
12
13
17
21
99,600
99,588
99,576
99,561
99,541
6,714,397
6,614,797
6,515,209
6,415,633
6,316,072
67.4
66.4
65.4
64.4
63.4
15
16
17
18
19
0.00026
0.00031
0.00036
0.00042
0.00049
99,531
99,505
99,473
99,437
99,395
26
31
36
42
49
99,518
99,489
99,455
99,416
99,371
6,216,531
6,117,013
6,017,524
5,918,069
5,818,653
62.5
61.5
60.5
59.5
58.5
20
21
22
23
24
0.00056
0.00062
0.00066
0.00065
0.00062
99,347
99,291
99,230
99,165
99,100
55
61
65
65
61
99,319
99,261
99,197
99,133
99,070
5,719,282
5,619,963
5,520,702
5,421,505
5,322,372
57.6
56.6
55.6
54.7
53.7
25
26
27
28
29
0.00058
0.00055
0.00053
0.00055
0.00058
99,039
98,982
98,928
98,875
98,821
57
54
53
54
58
99,010
98,955
98,901
98,848
98,792
5,223,303
5,124,292
5,025,338
4,926,437
4,827,589
52.7
51.8
50.8
49.8
48.9
30
31
32
33
34
0.00062
0.00066
0.00070
0.00074
0.00079
98,763
98,702
98,637
98,568
98,495
61
65
69
73
77
98,732
98,669
98,602
98,531
98,456
4,728,797
4,630,064
4,531,395
4,432,793
4,334,261
47.9
46.9
45.9
45.0
44.0
35
36
37
38
39
0.00083
0.00088
0.00095
0.00105
0.00117
98,417
98,335
98,249
98,155
98,052
82
87
94
103
115
98,376
98,292
98,202
98,103
97,994
4,235,805
4,137,429
4,039,137
3,940,935
3,842,832
43.0
42.1
41.1
40.2
39.2
Probability of
dying between
exact age x and
age x+1
qx
0
1
2
3
4
Age x
(years)
Total
person-years
lived after
exact age x
Tx
Expectation
of life at
exact age x
ex
3-13
Annex 3
Table 5 Complete Life Table for Singapore Resident Males, 2004 (Continued)
Number of
survivors at
exact age x
lx
Number of
deaths between
exact age x and
age x+1
dx
Number of
person-years
lived between
exact age x and
age x+1
Lx
0.00130
0.00142
0.00157
0.00174
0.00192
97,937
97,810
97,670
97,517
97,347
127
139
153
170
187
97,873
97,740
97,594
97,432
97,254
3,744,838
3,646,964
3,549,224
3,451,631
3,354,198
38.2
37.3
36.3
35.4
34.5
45
46
47
48
49
0.00211
0.00231
0.00255
0.00285
0.00319
97,160
96,955
96,731
96,484
96,208
205
224
247
275
307
97,057
96,843
96,607
96,346
96,055
3,256,945
3,159,887
3,063,044
2,966,437
2,870,091
33.5
32.6
31.7
30.7
29.8
50
51
52
53
54
0.00353
0.00389
0.00433
0.00489
0.00552
95,902
95,564
95,192
94,780
94,316
338
372
412
463
521
95,733
95,378
94,986
94,548
94,056
2,774,036
2,678,303
2,582,925
2,487,939
2,393,391
28.9
28.0
27.1
26.2
25.4
55
56
57
58
59
0.00617
0.00685
0.00759
0.00843
0.00931
93,796
93,217
92,578
91,876
91,101
579
638
703
774
848
93,506
92,897
92,227
91,489
90,677
2,299,335
2,205,829
2,112,932
2,020,705
1,929,216
24.5
23.7
22.8
22.0
21.2
60
61
62
63
64
0.01020
0.01116
0.01238
0.01399
0.01585
90,253
89,333
88,335
87,242
86,021
921
997
1,094
1,221
1,363
89,793
88,834
87,788
86,631
85,339
1,838,539
1,748,746
1,659,912
1,572,124
1,485,492
20.4
19.6
18.8
18.0
17.3
65
66
67
68
69
0.01777
0.01973
0.02183
0.02415
0.02660
84,657
83,153
81,513
79,734
77,808
1,504
1,640
1,779
1,926
2,070
83,905
82,333
80,623
78,771
76,773
1,400,153
1,316,248
1,233,915
1,153,292
1,074,522
16.5
15.8
15.1
14.5
13.8
70
71
72
73
74
0.02906
0.03165
0.03470
0.03845
0.04260
75,738
73,537
71,209
68,738
66,095
2,201
2,328
2,471
2,643
2,816
74,638
72,373
69,974
67,417
64,688
997,749
923,111
850,738
780,764
713,347
13.2
12.6
11.9
11.4
10.8
75
76
77
78
79
0.04684
0.05118
0.05592
0.06128
0.06699
63,280
60,316
57,229
54,029
50,718
2,964
3,087
3,200
3,311
3,398
61,798
58,772
55,629
52,373
49,019
648,660
586,862
528,090
472,461
420,088
10.3
9.7
9.2
8.7
8.3
Probability of
dying between
exact age x and
age x+1
qx
40
41
42
43
44
Age x
(years)
Total
person-years
lived after
exact age x
Tx
Expectation
of life at
exact age x
ex
3-14
Annex 3
Table 5 Complete Life Table for Singapore Resident Males, 2004 (Continued)
Number of
survivors at
exact age x
lx
Number of
deaths between
exact age x and
age x+1
dx
Number of
person-years
lived between
exact age x and
age x+1
Lx
Total
person-years
lived after
exact age x
Tx
Expectation
of life at
exact age x
ex
0.07268
0.07833
0.08437
0.09133
0.09960
47,320
43,881
40,444
37,032
33,650
3,439
3,437
3,412
3,382
3,352
45,600
42,162
38,738
35,341
31,974
371,070
325,469
283,307
244,569
209,229
7.8
7.4
7.0
6.6
6.2
85
86
87
88
89
0.10814
0.11736
0.12731
0.13805
0.14962
30,298
27,022
23,851
20,814
17,941
3,276
3,171
3,036
2,873
2,684
28,660
25,436
22,332
19,377
16,599
177,255
148,595
123,159
100,826
81,449
5.9
5.5
5.2
4.8
4.5
90
91
92
93
94
0.16208
0.17547
0.18986
0.20529
0.22183
15,256
12,784
10,540
8,539
6,786
2,473
2,243
2,001
1,753
1,505
14,020
11,662
9,540
7,663
6,034
64,851
50,831
39,168
29,629
21,966
4.3
4.0
3.7
3.5
3.2
95
96
97
98
99
0.23952
0.25841
0.27856
0.30001
0.32280
5,281
4,016
2,978
2,149
1,504
1,265
1,038
830
645
485
4,648
3,497
2,563
1,826
1,261
15,932
11,284
7,787
5,223
3,397
3.0
2.8
2.6
2.4
2.3
100+
1.00000
1,019
1,019
2,136
2,136
2.1
Probability of
dying between
exact age x and
age x+1
qx
80
81
82
83
84
Age x
(years)
3-15
Annex 3
Table 6 Complete Life Table for Singapore Resident Females, 2004
Number of
survivors at
exact age x
lx
Number of
deaths between
exact age x and
age x+1
dx
Number of
person-years
lived between
exact age x and
age x+1
Lx
0.00197
0.00018
0.00017
0.00016
0.00014
100,000
99,803
99,785
99,768
99,753
197
18
17
16
14
99,838
99,794
99,777
99,760
99,746
8,204,197
8,104,358
8,004,564
7,904,788
7,805,027
82.0
81.2
80.2
79.2
78.2
5
6
7
8
9
0.00012
0.00011
0.00010
0.00009
0.00010
99,739
99,726
99,716
99,706
99,697
12
11
10
9
10
99,732
99,721
99,711
99,701
99,692
7,705,281
7,605,549
7,505,828
7,406,117
7,306,416
77.3
76.3
75.3
74.3
73.3
10
11
12
13
14
0.00010
0.00011
0.00012
0.00013
0.00015
99,687
99,676
99,666
99,654
99,641
10
11
12
13
15
99,682
99,671
99,660
99,647
99,634
7,206,724
7,107,042
7,007,371
6,907,712
6,808,064
72.3
71.3
70.3
69.3
68.3
15
16
17
18
19
0.00016
0.00018
0.00020
0.00022
0.00024
99,626
99,610
99,592
99,572
99,550
16
18
20
22
24
99,618
99,601
99,582
99,561
99,538
6,708,431
6,608,813
6,509,212
6,409,630
6,310,069
67.3
66.3
65.4
64.4
63.4
20
21
22
23
24
0.00027
0.00029
0.00030
0.00030
0.00028
99,526
99,499
99,471
99,441
99,411
27
29
30
29
28
99,513
99,485
99,456
99,426
99,398
6,210,531
6,111,019
6,011,534
5,912,078
5,812,652
62.4
61.4
60.4
59.5
58.5
25
26
27
28
29
0.00026
0.00025
0.00024
0.00025
0.00027
99,384
99,358
99,333
99,309
99,284
26
25
24
25
27
99,371
99,345
99,321
99,296
99,270
5,713,254
5,613,884
5,514,539
5,415,218
5,315,921
57.5
56.5
55.5
54.5
53.5
30
31
32
33
34
0.00029
0.00032
0.00034
0.00038
0.00042
99,257
99,227
99,196
99,162
99,125
29
31
34
37
41
99,242
99,212
99,179
99,143
99,104
5,216,651
5,117,409
5,018,198
4,919,019
4,819,875
52.6
51.6
50.6
49.6
48.6
35
36
37
38
39
0.00046
0.00050
0.00055
0.00061
0.00067
99,083
99,038
98,988
98,934
98,874
45
50
54
60
67
99,061
99,013
98,961
98,904
98,840
4,720,771
4,621,711
4,522,698
4,423,737
4,324,833
47.6
46.7
45.7
44.7
43.7
Probability of
dying between
exact age x and
age x+1
qx
0
1
2
3
4
Age x
(years)
Total
person-years
lived after
exact age x
Tx
Expectation
of life at
exact age x
ex
3-16
Annex 3
Table 6 Complete Life Table for Singapore Resident Females, 2004 (Continued)
Number of
survivors at
exact age x
lx
Number of
deaths between
exact age x and
age x+1
dx
Number of
person-years
lived between
exact age x and
age x+1
Lx
0.00074
0.00081
0.00089
0.00100
0.00111
98,807
98,734
98,654
98,566
98,468
73
80
88
98
109
98,771
98,694
98,610
98,517
98,413
4,225,992
4,127,222
4,028,528
3,929,918
3,831,401
42.8
41.8
40.8
39.9
38.9
45
46
47
48
49
0.00123
0.00135
0.00150
0.00169
0.00190
98,358
98,238
98,105
97,958
97,792
121
133
147
165
185
98,298
98,171
98,031
97,875
97,700
3,732,988
3,634,690
3,536,518
3,438,487
3,340,612
38.0
37.0
36.0
35.1
34.2
50
51
52
53
54
0.00211
0.00234
0.00258
0.00286
0.00317
97,607
97,401
97,173
96,922
96,645
206
228
251
278
306
97,504
97,287
97,048
96,784
96,492
3,242,912
3,145,409
3,048,121
2,951,074
2,854,290
33.2
32.3
31.4
30.4
29.5
55
56
57
58
59
0.00347
0.00380
0.00418
0.00464
0.00516
96,339
96,004
95,640
95,240
94,798
334
364
399
442
489
96,172
95,822
95,440
95,019
94,554
2,757,798
2,661,627
2,565,805
2,470,365
2,375,345
28.6
27.7
26.8
25.9
25.1
60
61
62
63
64
0.00568
0.00624
0.00691
0.00774
0.00867
94,309
93,773
93,188
92,545
91,828
536
585
643
716
796
94,041
93,481
92,866
92,186
91,430
2,280,792
2,186,750
2,093,270
2,000,403
1,908,217
24.2
23.3
22.5
21.6
20.8
65
66
67
68
69
0.00963
0.01063
0.01178
0.01314
0.01461
91,032
90,155
89,197
88,146
86,987
877
959
1,051
1,159
1,271
90,594
89,676
88,671
87,567
86,352
1,816,787
1,726,193
1,636,517
1,547,846
1,460,279
20.0
19.1
18.3
17.6
16.8
70
71
72
73
74
0.01610
0.01771
0.01973
0.02236
0.02534
85,716
84,336
82,842
81,207
79,392
1,380
1,494
1,635
1,816
2,011
85,026
83,589
82,025
80,299
78,386
1,373,928
1,288,902
1,205,313
1,123,288
1,042,988
16.0
15.3
14.5
13.8
13.1
75
76
77
78
79
0.02839
0.03158
0.03530
0.03986
0.04493
77,380
75,184
72,809
70,239
67,440
2,197
2,374
2,570
2,800
3,030
76,282
73,996
71,524
68,840
65,925
964,603
888,321
814,324
742,800
673,960
12.5
11.8
11.2
10.6
10.0
Probability of
dying between
exact age x and
age x+1
qx
40
41
42
43
44
Age x
(years)
Total
person-years
lived after
exact age x
Tx
Expectation
of life at
exact age x
ex
3-17
Annex 3
Table 6 Complete Life Table for Singapore Resident Females, 2004 (Continued)
Number of
survivors at
exact age x
lx
Number of
deaths between
exact age x and
age x+1
dx
Number of
person-years
lived between
exact age x and
age x+1
Lx
Total
person-years
lived after
exact age x
Tx
Expectation
of life at
exact age x
ex
0.05012
0.05534
0.06085
0.06699
0.07374
64,409
61,181
57,796
54,279
50,642
3,228
3,386
3,517
3,636
3,735
62,795
59,488
56,037
52,461
48,775
608,036
545,240
485,752
429,715
377,254
9.4
8.9
8.4
7.9
7.4
85
86
87
88
89
0.08104
0.08897
0.09757
0.10690
0.11700
46,908
43,107
39,271
35,440
31,651
3,801
3,835
3,832
3,789
3,703
45,007
41,189
37,355
33,545
29,799
328,479
283,472
242,283
204,927
171,382
7.0
6.6
6.2
5.8
5.4
90
91
92
93
94
0.12790
0.13967
0.15234
0.16595
0.18057
27,948
24,373
20,969
17,775
14,825
3,575
3,404
3,194
2,950
2,677
26,161
22,671
19,372
16,300
13,487
141,583
115,422
92,751
73,379
57,079
5.1
4.7
4.4
4.1
3.9
95
96
97
98
99
0.19621
0.21294
0.23077
0.24975
0.26991
12,148
9,764
7,685
5,912
4,435
2,384
2,079
1,774
1,476
1,197
10,956
8,725
6,798
5,173
3,837
43,593
32,636
23,912
17,113
11,940
3.6
3.3
3.1
2.9
2.7
100+
1.00000
3,238
3,238
8,103
8,103
2.5
Probability of
dying between
exact age x and
age x+1
qx
80
81
82
83
84
Age x
(years)
3-18
Annex 3
Table 7 Complete Life Table for Singapore Resident Population, 2005
Number of
survivors at
exact age x
lx
Number of
deaths between
exact age x and
age x+1
dx
Number of
person-years
lived between
exact age x and
age x+1
Lx
0.00229
0.00016
0.00016
0.00015
0.00014
100,000
99,771
99,755
99,739
99,724
229
16
16
15
13
99,812
99,763
99,747
99,732
99,718
8,007,308
7,907,496
7,807,733
7,707,986
7,608,254
80.1
79.3
78.3
77.3
76.3
5
6
7
8
9
0.00012
0.00011
0.00010
0.00010
0.00011
99,711
99,699
99,688
99,678
99,667
12
11
10
10
11
99,705
99,693
99,683
99,673
99,662
7,508,537
7,408,832
7,309,138
7,209,455
7,109,783
75.3
74.3
73.3
72.3
71.3
10
11
12
13
14
0.00012
0.00012
0.00014
0.00015
0.00017
99,656
99,645
99,632
99,619
99,603
12
12
14
15
17
99,651
99,639
99,626
99,611
99,595
7,010,121
6,910,470
6,810,832
6,711,206
6,611,595
70.3
69.4
68.4
67.4
66.4
15
16
17
18
19
0.00019
0.00022
0.00024
0.00027
0.00031
99,586
99,567
99,545
99,521
99,494
19
22
24
27
31
99,576
99,556
99,533
99,507
99,478
6,512,000
6,412,424
6,312,868
6,213,335
6,113,828
65.4
64.4
63.4
62.4
61.4
20
21
22
23
24
0.00035
0.00039
0.00041
0.00041
0.00040
99,463
99,427
99,389
99,348
99,306
35
39
41
41
40
99,445
99,408
99,368
99,327
99,286
6,014,349
5,914,905
5,815,497
5,716,129
5,616,802
60.5
59.5
58.5
57.5
56.6
25
26
27
28
29
0.00039
0.00037
0.00037
0.00039
0.00041
99,266
99,228
99,191
99,154
99,116
38
37
37
38
41
99,247
99,210
99,173
99,135
99,095
5,517,515
5,418,268
5,319,059
5,219,886
5,120,751
55.6
54.6
53.6
52.6
51.7
30
31
32
33
34
0.00044
0.00047
0.00051
0.00054
0.00058
99,075
99,031
98,984
98,934
98,880
44
47
50
54
58
99,053
99,007
98,959
98,907
98,851
5,021,656
4,922,603
4,823,596
4,724,637
4,625,730
50.7
49.7
48.7
47.8
46.8
35
36
37
38
39
0.00062
0.00066
0.00073
0.00081
0.00092
98,822
98,761
98,695
98,624
98,544
61
66
72
80
90
98,792
98,728
98,660
98,584
98,499
4,526,879
4,428,087
4,329,359
4,230,700
4,132,116
45.8
44.8
43.9
42.9
41.9
Probability of
dying between
exact age x and
age x+1
qx
0
1
2
3
4
Age x
(years)
Total
person-years
lived after
exact age x
Tx
Expectation
of life at
exact age x
ex
3-19
Annex 3
Table 7 Complete Life Table for Singapore Resident Population, 2005 (Continued)
Number of
survivors at
exact age x
lx
Number of
deaths between
exact age x and
age x+1
dx
Number of
person-years
lived between
exact age x and
age x+1
Lx
0.00103
0.00114
0.00125
0.00138
0.00151
98,453
98,352
98,241
98,118
97,983
101
112
123
135
148
98,403
98,297
98,179
98,050
97,909
4,033,617
3,935,215
3,836,918
3,738,739
3,640,688
41.0
40.0
39.1
38.1
37.2
45
46
47
48
49
0.00164
0.00178
0.00196
0.00219
0.00247
97,835
97,675
97,502
97,311
97,097
160
173
191
214
240
97,755
97,588
97,406
97,204
96,977
3,542,780
3,445,025
3,347,436
3,250,030
3,152,826
36.2
35.3
34.3
33.4
32.5
50
51
52
53
54
0.00275
0.00305
0.00338
0.00376
0.00418
96,858
96,591
96,296
95,971
95,610
267
294
325
361
400
96,724
96,444
96,134
95,790
95,410
3,055,848
2,959,124
2,862,681
2,766,547
2,670,756
31.5
30.6
29.7
28.8
27.9
55
56
57
58
59
0.00461
0.00505
0.00559
0.00625
0.00699
95,210
94,771
94,292
93,765
93,179
439
479
527
586
652
94,991
94,532
94,029
93,472
92,853
2,575,347
2,480,356
2,385,824
2,291,795
2,198,323
27.0
26.2
25.3
24.4
23.6
60
61
62
63
64
0.00775
0.00854
0.00945
0.01053
0.01173
92,527
91,810
91,026
90,166
89,217
717
784
860
950
1,046
92,169
91,418
90,596
89,691
88,694
2,105,470
2,013,301
1,921,883
1,831,287
1,741,596
22.8
21.9
21.1
20.3
19.5
65
66
67
68
69
0.01295
0.01422
0.01562
0.01722
0.01893
88,170
87,029
85,791
84,451
82,997
1,142
1,237
1,340
1,455
1,571
87,599
86,410
85,121
83,724
82,211
1,652,902
1,565,303
1,478,893
1,393,771
1,310,047
18.7
18.0
17.2
16.5
15.8
70
71
72
73
74
0.02065
0.02249
0.02475
0.02765
0.03091
81,426
79,745
77,951
76,022
73,920
1,681
1,793
1,930
2,102
2,285
80,585
78,848
76,987
74,971
72,777
1,227,836
1,147,250
1,068,402
991,415
916,444
15.1
14.4
13.7
13.0
12.4
75
76
77
78
79
0.03425
0.03771
0.04168
0.04647
0.05175
71,635
69,182
66,573
63,798
60,833
2,453
2,609
2,775
2,964
3,148
70,408
67,877
65,185
62,315
59,259
843,667
773,259
705,382
640,197
577,881
11.8
11.2
10.6
10.0
9.5
Probability of
dying between
exact age x and
age x+1
qx
40
41
42
43
44
Age x
(years)
Total
person-years
lived after
exact age x
Tx
Expectation
of life at
exact age x
ex
3-20
Annex 3
Table 7 Complete Life Table for Singapore Resident Population, 2005 (Continued)
Number of
survivors at
exact age x
lx
Number of
deaths between
exact age x and
age x+1
dx
Number of
person-years
lived between
exact age x and
age x+1
Lx
Total
person-years
lived after
exact age x
Tx
Expectation
of life at
exact age x
ex
0.05714
0.06255
0.06818
0.07430
0.08091
57,685
54,389
50,987
47,511
43,981
3,296
3,402
3,476
3,530
3,559
56,037
52,688
49,249
45,746
42,202
518,622
462,585
409,897
360,648
314,902
9.0
8.5
8.0
7.6
7.2
85
86
87
88
89
0.08810
0.09589
0.10434
0.11348
0.12337
40,422
36,861
33,327
29,849
26,462
3,561
3,535
3,477
3,387
3,265
38,642
35,094
31,588
28,156
24,830
272,701
234,059
198,965
167,377
139,221
6.7
6.3
6.0
5.6
5.3
90
91
92
93
94
0.13406
0.14561
0.15806
0.17148
0.18592
23,197
20,088
17,163
14,450
11,972
3,110
2,925
2,713
2,478
2,226
21,642
18,625
15,806
13,211
10,859
114,391
92,749
74,124
58,317
45,106
4.9
4.6
4.3
4.0
3.8
95
96
97
98
99
0.20145
0.21811
0.23597
0.25508
0.27549
9,746
7,783
6,085
4,649
3,463
1,963
1,698
1,436
1,186
954
8,764
6,934
5,367
4,056
2,986
34,247
25,483
18,549
13,182
9,125
3.5
3.3
3.0
2.8
2.6
100+
1.00000
2,509
2,509
6,139
6,139
2.4
Probability of
dying between
exact age x and
age x+1
qx
80
81
82
83
84
Age x
(years)
3-21
Annex 3
Table 8 Complete Life Table for Singapore Resident Males, 2005
Number of
survivors at
exact age x
lx
Number of
deaths between
exact age x and
age x+1
dx
Number of
person-years
lived between
exact age x and
age x+1
Lx
0.00253
0.00017
0.00016
0.00015
0.00014
100,000
99,747
99,730
99,714
99,699
253
17
16
15
14
99,792
99,738
99,722
99,706
99,692
7,759,262
7,659,470
7,559,731
7,460,009
7,360,303
77.6
76.8
75.8
74.8
73.8
5
6
7
8
9
0.00012
0.00011
0.00010
0.00010
0.00011
99,685
99,673
99,662
99,652
99,642
12
11
10
10
11
99,679
99,668
99,657
99,647
99,637
7,260,611
7,160,932
7,061,264
6,961,607
6,861,960
72.8
71.8
70.9
69.9
68.9
10
11
12
13
14
0.00012
0.00013
0.00015
0.00017
0.00020
99,631
99,619
99,606
99,592
99,575
12
13
15
17
20
99,625
99,613
99,599
99,583
99,565
6,762,323
6,662,698
6,563,086
6,463,487
6,363,904
67.9
66.9
65.9
64.9
63.9
15
16
17
18
19
0.00023
0.00026
0.00030
0.00035
0.00042
99,555
99,532
99,506
99,477
99,442
23
26
30
35
41
99,544
99,519
99,492
99,459
99,421
6,264,339
6,164,795
6,065,276
5,965,784
5,866,325
62.9
61.9
61.0
60.0
59.0
20
21
22
23
24
0.00048
0.00054
0.00058
0.00058
0.00056
99,400
99,352
99,298
99,240
99,182
48
54
58
58
56
99,376
99,325
99,269
99,211
99,155
5,766,904
5,667,528
5,568,202
5,468,933
5,369,722
58.0
57.0
56.1
55.1
54.1
25
26
27
28
29
0.00053
0.00051
0.00050
0.00051
0.00054
99,127
99,074
99,024
98,975
98,924
53
50
49
51
54
99,100
99,049
98,999
98,949
98,897
5,270,567
5,171,467
5,072,418
4,973,418
4,874,469
53.2
52.2
51.2
50.2
49.3
30
31
32
33
34
0.00058
0.00061
0.00065
0.00069
0.00075
98,870
98,813
98,753
98,689
98,620
57
60
64
69
74
98,841
98,783
98,721
98,654
98,583
4,775,573
4,676,731
4,577,949
4,479,228
4,380,574
48.3
47.3
46.4
45.4
44.4
35
36
37
38
39
0.00080
0.00086
0.00093
0.00104
0.00116
98,546
98,468
98,383
98,292
98,190
79
84
92
102
114
98,507
98,426
98,338
98,241
98,133
4,281,990
4,183,483
4,085,058
3,986,720
3,888,480
43.5
42.5
41.5
40.6
39.6
Probability of
dying between
exact age x and
age x+1
qx
0
1
2
3
4
Age x
(years)
Total
person-years
lived after
exact age x
Tx
Expectation
of life at
exact age x
ex
3-22
Annex 3
Table 8 Complete Life Table for Singapore Resident Males, 2005 (Continued)
Number of
survivors at
exact age x
lx
Number of
deaths between
exact age x and
age x+1
dx
Number of
person-years
lived between
exact age x and
age x+1
Lx
0.00129
0.00142
0.00156
0.00171
0.00187
98,076
97,949
97,810
97,657
97,489
127
139
153
167
182
98,012
97,879
97,733
97,573
97,398
3,790,347
3,692,335
3,594,456
3,496,722
3,399,149
38.6
37.7
36.7
35.8
34.9
45
46
47
48
49
0.00203
0.00220
0.00242
0.00272
0.00307
97,307
97,110
96,896
96,662
96,399
197
213
235
263
296
97,208
97,003
96,779
96,530
96,251
3,301,751
3,204,543
3,107,540
3,010,761
2,914,231
33.9
33.0
32.1
31.1
30.2
50
51
52
53
54
0.00343
0.00381
0.00423
0.00473
0.00528
96,102
95,773
95,408
95,004
94,554
330
365
404
450
499
95,937
95,590
95,206
94,779
94,305
2,817,980
2,722,042
2,626,452
2,531,247
2,436,468
29.3
28.4
27.5
26.6
25.8
55
56
57
58
59
0.00583
0.00641
0.00711
0.00798
0.00894
94,055
93,507
92,907
92,247
91,511
548
600
661
736
818
93,781
93,207
92,577
91,879
91,102
2,342,163
2,248,382
2,155,174
2,062,597
1,970,718
24.9
24.0
23.2
22.4
21.5
60
61
62
63
64
0.00993
0.01097
0.01217
0.01362
0.01524
90,692
89,792
88,807
87,726
86,531
901
985
1,080
1,195
1,319
90,242
89,299
88,267
87,129
85,872
1,879,617
1,789,375
1,700,075
1,611,809
1,524,680
20.7
19.9
19.1
18.4
17.6
65
66
67
68
69
0.01690
0.01860
0.02046
0.02255
0.02475
85,213
83,773
82,214
80,532
78,716
1,440
1,558
1,682
1,816
1,949
84,493
82,993
81,373
79,624
77,742
1,438,808
1,354,315
1,271,322
1,189,949
1,110,325
16.9
16.2
15.5
14.8
14.1
70
71
72
73
74
0.02698
0.02934
0.03219
0.03578
0.03979
76,767
74,696
72,505
70,171
67,660
2,071
2,191
2,334
2,511
2,692
75,732
73,601
71,338
68,916
66,314
1,032,583
956,851
883,251
811,913
742,997
13.5
12.8
12.2
11.6
11.0
75
76
77
78
79
0.04390
0.04814
0.05289
0.05848
0.06457
64,968
62,116
59,126
55,998
52,724
2,852
2,990
3,127
3,275
3,404
63,542
60,621
57,562
54,361
51,022
676,683
613,141
552,520
494,959
440,597
10.4
9.9
9.3
8.8
8.4
Probability of
dying between
exact age x and
age x+1
qx
40
41
42
43
44
Age x
(years)
Total
person-years
lived after
exact age x
Tx
Expectation
of life at
exact age x
ex
3-23
Annex 3
Table 8 Complete Life Table for Singapore Resident Males, 2005 (Continued)
Number of
survivors at
exact age x
lx
Number of
deaths between
exact age x and
age x+1
dx
Number of
person-years
lived between
exact age x and
age x+1
Lx
Total
person-years
lived after
exact age x
Tx
Expectation
of life at
exact age x
ex
0.07075
0.07697
0.08352
0.09076
0.09869
49,320
45,830
42,303
38,770
35,251
3,489
3,527
3,533
3,519
3,479
47,575
44,067
40,536
37,010
33,511
389,576
342,001
297,934
257,398
220,388
7.9
7.5
7.0
6.6
6.3
85
86
87
88
89
0.10720
0.11639
0.12631
0.13702
0.14857
31,772
28,366
25,065
21,899
18,898
3,406
3,301
3,166
3,001
2,808
30,069
26,715
23,482
20,398
17,494
186,877
156,808
130,092
106,611
86,213
5.9
5.5
5.2
4.9
4.6
90
91
92
93
94
0.16100
0.17437
0.18874
0.20416
0.22068
16,090
13,500
11,146
9,042
7,196
2,591
2,354
2,104
1,846
1,588
14,795
12,323
10,094
8,119
6,402
68,718
53,923
41,601
31,507
23,388
4.3
4.0
3.7
3.5
3.3
95
96
97
98
99
0.23837
0.25726
0.27741
0.29886
0.32167
5,608
4,271
3,172
2,292
1,607
1,337
1,099
880
685
517
4,940
3,722
2,732
1,950
1,349
16,986
12,046
8,324
5,592
3,642
3.0
2.8
2.6
2.4
2.3
100+
1.00000
1,090
1,090
2,293
2,293
2.1
Probability of
dying between
exact age x and
age x+1
qx
80
81
82
83
84
Age x
(years)
3-24
Annex 3
Table 9 Complete Life Table for Singapore Resident Females, 2005
Number of
survivors at
exact age x
lx
Number of
deaths between
exact age x and
age x+1
dx
Number of
person-years
lived between
exact age x and
age x+1
Lx
0.00203
0.00016
0.00015
0.00014
0.00013
100,000
99,797
99,781
99,766
99,751
203
16
15
14
13
99,833
99,789
99,773
99,759
99,745
8,245,565
8,145,732
8,045,943
7,946,169
7,846,411
82.5
81.6
80.6
79.6
78.7
5
6
7
8
9
0.00012
0.00011
0.00010
0.00010
0.00011
99,738
99,726
99,715
99,705
99,694
12
11
10
10
11
99,732
99,721
99,710
99,699
99,689
7,746,666
7,646,934
7,547,213
7,447,503
7,347,804
77.7
76.7
75.7
74.7
73.7
10
11
12
13
14
0.00011
0.00012
0.00013
0.00014
0.00015
99,683
99,672
99,660
99,647
99,634
11
12
13
14
15
99,678
99,666
99,654
99,641
99,627
7,248,115
7,148,437
7,048,771
6,949,118
6,849,477
72.7
71.7
70.7
69.7
68.7
15
16
17
18
19
0.00016
0.00017
0.00018
0.00020
0.00021
99,619
99,603
99,586
99,568
99,549
16
17
18
19
21
99,611
99,595
99,577
99,558
99,538
6,749,850
6,650,239
6,550,644
6,451,067
6,351,509
67.8
66.8
65.8
64.8
63.8
20
21
22
23
24
0.00022
0.00023
0.00024
0.00024
0.00025
99,528
99,506
99,483
99,459
99,435
22
23
24
24
24
99,517
99,494
99,471
99,447
99,423
6,251,971
6,152,454
6,052,959
5,953,488
5,854,042
62.8
61.8
60.8
59.9
58.9
25
26
27
28
29
0.00024
0.00025
0.00025
0.00027
0.00030
99,410
99,386
99,361
99,336
99,309
24
24
25
27
29
99,398
99,374
99,349
99,323
99,294
5,754,619
5,655,221
5,555,847
5,456,498
5,357,176
57.9
56.9
55.9
54.9
53.9
30
31
32
33
34
0.00032
0.00035
0.00037
0.00040
0.00043
99,280
99,248
99,213
99,176
99,136
32
35
37
40
42
99,264
99,230
99,195
99,156
99,115
5,257,881
5,158,617
5,059,387
4,960,192
4,861,036
53.0
52.0
51.0
50.0
49.0
35
36
37
38
39
0.00045
0.00048
0.00052
0.00059
0.00067
99,094
99,049
99,002
98,950
98,892
45
48
52
59
67
99,072
99,026
98,976
98,921
98,858
4,761,921
4,662,849
4,563,824
4,464,848
4,365,927
48.1
47.1
46.1
45.1
44.1
Probability of
dying between
exact age x and
age x+1
qx
0
1
2
3
4
Age x
(years)
Total
person-years
lived after
exact age x
Tx
Expectation
of life at
exact age x
ex
3-25
Annex 3
Table 9 Complete Life Table for Singapore Resident Females, 2005 (Continued)
Number of
survivors at
exact age x
lx
Number of
deaths between
exact age x and
age x+1
dx
Number of
person-years
lived between
exact age x and
age x+1
Lx
0.00076
0.00085
0.00094
0.00103
0.00114
98,825
98,750
98,666
98,574
98,472
75
83
92
102
112
98,787
98,708
98,620
98,523
98,416
4,267,069
4,168,281
4,069,573
3,970,953
3,872,429
43.2
42.2
41.2
40.3
39.3
45
46
47
48
49
0.00124
0.00135
0.00148
0.00166
0.00185
98,360
98,239
98,107
97,961
97,799
122
132
145
162
181
98,299
98,173
98,034
97,880
97,708
3,774,013
3,675,714
3,577,541
3,479,507
3,381,627
38.4
37.4
36.5
35.5
34.6
50
51
52
53
54
0.00206
0.00227
0.00251
0.00279
0.00308
97,618
97,416
97,195
96,951
96,681
201
221
244
270
298
97,517
97,306
97,073
96,816
96,532
3,283,919
3,186,402
3,089,096
2,992,023
2,895,207
33.6
32.7
31.8
30.9
29.9
55
56
57
58
59
0.00338
0.00370
0.00408
0.00456
0.00509
96,383
96,057
95,702
95,311
94,877
326
355
391
435
483
96,220
95,880
95,507
95,094
94,635
2,798,675
2,702,455
2,606,575
2,511,069
2,415,975
29.0
28.1
27.2
26.3
25.5
60
61
62
63
64
0.00565
0.00622
0.00686
0.00762
0.00844
94,393
93,860
93,277
92,637
91,931
533
584
640
706
776
94,127
93,569
92,957
92,284
91,543
2,321,340
2,227,213
2,133,644
2,040,687
1,948,403
24.6
23.7
22.9
22.0
21.2
65
66
67
68
69
0.00928
0.01017
0.01120
0.01244
0.01378
91,155
90,309
89,391
88,390
87,290
846
918
1,001
1,099
1,203
90,732
89,850
88,890
87,840
86,689
1,856,860
1,766,129
1,676,279
1,587,389
1,499,549
20.4
19.6
18.8
18.0
17.2
70
71
72
73
74
0.01515
0.01663
0.01852
0.02102
0.02387
86,087
84,783
83,373
81,829
80,109
1,304
1,410
1,544
1,720
1,912
85,435
84,078
82,601
80,969
79,153
1,412,860
1,327,425
1,243,348
1,160,747
1,079,778
16.4
15.7
14.9
14.2
13.5
75
76
77
78
79
0.02679
0.02985
0.03342
0.03782
0.04272
78,196
76,101
73,829
71,362
68,663
2,095
2,272
2,468
2,699
2,933
77,149
74,965
72,596
70,012
67,196
1,000,626
923,477
848,511
775,916
705,904
12.8
12.1
11.5
10.9
10.3
Probability of
dying between
exact age x and
age x+1
qx
40
41
42
43
44
Age x
(years)
Total
person-years
lived after
exact age x
Tx
Expectation
of life at
exact age x
ex
3-26
Annex 3
Table 9 Complete Life Table for Singapore Resident Females, 2005 (Continued)
Number of
survivors at
exact age x
lx
Number of
deaths between
exact age x and
age x+1
dx
Number of
person-years
lived between
exact age x and
age x+1
Lx
Total
person-years
lived after
exact age x
Tx
Expectation
of life at
exact age x
ex
0.04774
0.05277
0.05806
0.06388
0.07024
65,729
62,592
59,288
55,846
52,278
3,138
3,303
3,442
3,568
3,672
64,160
60,940
57,567
54,062
50,443
638,708
574,547
513,607
456,040
401,978
9.7
9.2
8.7
8.2
7.7
85
86
87
88
89
0.07715
0.08468
0.09288
0.10178
0.11144
48,607
44,857
41,058
37,245
33,454
3,750
3,799
3,813
3,791
3,728
46,732
42,957
39,151
35,349
31,590
351,535
304,804
261,846
222,695
187,346
7.2
6.8
6.4
6.0
5.6
90
91
92
93
94
0.12191
0.13324
0.14548
0.15868
0.17291
29,726
26,102
22,624
19,333
16,265
3,624
3,478
3,291
3,068
2,812
27,914
24,363
20,979
17,799
14,859
155,756
127,842
103,479
82,501
64,702
5.2
4.9
4.6
4.3
4.0
95
96
97
98
99
0.18820
0.20462
0.22220
0.24101
0.26107
13,453
10,921
8,686
6,756
5,128
2,532
2,235
1,930
1,628
1,339
12,187
9,804
7,721
5,942
4,459
49,843
37,656
27,852
20,131
14,189
3.7
3.4
3.2
3.0
2.8
100+
1.00000
3,789
3,789
9,730
9,730
2.6
Probability of
dying between
exact age x and
age x+1
qx
80
81
82
83
84
Age x
(years)
3-27
Annex 3
Table 10 Complete Life Table for Singapore Resident Population, 2006 (Preliminary)
Number of
survivors at
exact age x
lx
Number of
deaths between
exact age x and
age x+1
dx
Number of
person-years
lived between
exact age x and
age x+1
Lx
0.00239
0.00014
0.00014
0.00013
0.00013
100,000
99,761
99,747
99,733
99,720
239
14
14
13
13
99,804
99,754
99,740
99,727
99,714
8,043,234
7,943,430
7,843,675
7,743,935
7,644,208
80.4
79.6
78.6
77.6
76.7
5
6
7
8
9
0.00012
0.00011
0.00011
0.00011
0.00011
99,707
99,696
99,685
99,674
99,663
12
11
11
11
11
99,701
99,690
99,679
99,669
99,657
7,544,495
7,444,793
7,345,103
7,245,424
7,145,755
75.7
74.7
73.7
72.7
71.7
10
11
12
13
14
0.00012
0.00013
0.00014
0.00015
0.00016
99,652
99,640
99,627
99,613
99,598
12
13
14
15
16
99,646
99,633
99,620
99,606
99,590
7,046,098
6,946,452
6,846,819
6,747,199
6,647,593
70.7
69.7
68.7
67.7
66.7
15
16
17
18
19
0.00018
0.00020
0.00022
0.00025
0.00029
99,582
99,564
99,545
99,523
99,498
18
19
22
25
29
99,573
99,554
99,534
99,511
99,484
6,548,003
6,448,430
6,348,875
6,249,341
6,149,831
65.8
64.8
63.8
62.8
61.8
20
21
22
23
24
0.00033
0.00037
0.00039
0.00040
0.00040
99,470
99,437
99,400
99,361
99,321
33
37
39
40
39
99,453
99,418
99,380
99,341
99,301
6,050,347
5,950,894
5,851,475
5,752,095
5,652,754
60.8
59.8
58.9
57.9
56.9
25
26
27
28
29
0.00039
0.00038
0.00039
0.00040
0.00042
99,281
99,243
99,205
99,167
99,127
39
38
38
40
42
99,262
99,224
99,186
99,147
99,106
5,553,453
5,454,191
5,354,967
5,255,781
5,156,634
55.9
55.0
54.0
53.0
52.0
30
31
32
33
34
0.00045
0.00048
0.00051
0.00054
0.00058
99,085
99,040
98,993
98,943
98,889
45
47
50
54
58
99,062
99,017
98,968
98,916
98,860
5,057,528
4,958,466
4,859,449
4,760,481
4,661,565
51.0
50.1
49.1
48.1
47.1
35
36
37
38
39
0.00062
0.00067
0.00073
0.00081
0.00091
98,832
98,770
98,704
98,633
98,553
62
66
72
80
89
98,801
98,737
98,668
98,593
98,508
4,562,705
4,463,904
4,365,167
4,266,498
4,167,906
46.2
45.2
44.2
43.3
42.3
Probability of
dying between
exact age x and
age x+1
qx
0
1
2
3
4
Age x
(years)
Total
person-years
lived after
exact age x
Tx
Expectation
of life at
exact age x
ex
3-28
Annex 3
Table 10 Complete Life Table for Singapore Resident Population, 2006 (Preliminary)
(Continued)
Number of
survivors at
exact age x
lx
Number of
deaths between
exact age x and
age x+1
dx
Number of
person-years
lived between
exact age x and
age x+1
Lx
0.00101
0.00111
0.00122
0.00135
0.00148
98,463
98,364
98,255
98,134
98,002
99
109
120
132
145
98,414
98,309
98,195
98,068
97,930
4,069,398
3,970,984
3,872,674
3,774,480
3,676,412
41.3
40.4
39.4
38.5
37.5
45
46
47
48
49
0.00161
0.00174
0.00192
0.00215
0.00241
97,858
97,701
97,530
97,343
97,134
157
170
187
209
234
97,779
97,615
97,437
97,238
97,017
3,578,481
3,480,702
3,383,087
3,285,650
3,188,412
36.6
35.6
34.7
33.8
32.8
50
51
52
53
54
0.00268
0.00296
0.00327
0.00363
0.00402
96,899
96,639
96,353
96,038
95,689
260
286
316
349
384
96,769
96,496
96,195
95,863
95,496
3,091,396
2,994,626
2,898,130
2,801,935
2,706,072
31.9
31.0
30.1
29.2
28.3
55
56
57
58
59
0.00441
0.00482
0.00533
0.00598
0.00672
95,304
94,884
94,427
93,924
93,362
420
457
503
562
628
95,094
94,656
94,175
93,643
93,048
2,610,575
2,515,481
2,420,825
2,326,650
2,233,007
27.4
26.5
25.6
24.8
23.9
60
61
62
63
64
0.00749
0.00828
0.00913
0.01010
0.01113
92,734
92,040
91,278
90,444
89,531
695
762
834
914
997
92,387
91,659
90,861
89,988
89,033
2,139,959
2,047,572
1,955,913
1,865,052
1,775,064
23.1
22.2
21.4
20.6
19.8
65
66
67
68
69
0.01217
0.01327
0.01459
0.01620
0.01799
88,534
87,457
86,296
85,037
83,659
1,078
1,161
1,259
1,378
1,505
87,995
86,876
85,666
84,348
82,906
1,686,032
1,598,036
1,511,160
1,425,494
1,341,146
19.0
18.3
17.5
16.8
16.0
70
71
72
73
74
0.01982
0.02174
0.02403
0.02686
0.03001
82,154
80,526
78,775
76,882
74,817
1,628
1,751
1,893
2,065
2,245
81,340
79,650
77,829
75,850
73,695
1,258,239
1,176,900
1,097,249
1,019,421
943,571
15.3
14.6
13.9
13.3
12.6
75
76
77
78
79
0.03323
0.03656
0.04033
0.04481
0.04970
72,572
70,161
67,596
64,869
61,963
2,411
2,565
2,726
2,907
3,079
71,366
68,878
66,232
63,416
60,423
869,876
798,510
729,632
663,399
599,983
12.0
11.4
10.8
10.2
9.7
Probability of
dying between
exact age x and
age x+1
qx
40
41
42
43
44
Age x
(years)
Total
person-years
lived after
exact age x
Tx
Expectation
of life at
exact age x
ex
3-29
Annex 3
Table 10 Complete Life Table for Singapore Resident Population, 2006 (Preliminary)
(Continued)
Number of
survivors at
exact age x
lx
Number of
deaths between
exact age x and
age x+1
dx
Number of
person-years
lived between
exact age x and
age x+1
Lx
Total
person-years
lived after
exact age x
Tx
Expectation
of life at
exact age x
ex
0.05467
0.05969
0.06507
0.07114
0.07792
58,883
55,664
52,342
48,936
45,455
3,219
3,323
3,406
3,482
3,542
57,274
54,003
50,639
47,195
43,684
539,560
482,286
428,283
377,645
330,449
9.2
8.7
8.2
7.7
7.3
85
86
87
88
89
0.08516
0.09302
0.10156
0.11081
0.12084
41,913
38,344
34,777
31,245
27,782
3,569
3,567
3,532
3,462
3,357
40,128
36,560
33,011
29,514
26,104
286,766
246,637
210,077
177,066
147,553
6.8
6.4
6.0
5.7
5.3
90
91
92
93
94
0.13168
0.14339
0.15604
0.16967
0.18433
24,425
21,209
18,168
15,333
12,731
3,216
3,041
2,835
2,601
2,347
22,817
19,688
16,750
14,032
11,558
121,449
98,632
78,943
62,193
48,161
5.0
4.7
4.3
4.1
3.8
95
96
97
98
99
0.20010
0.21701
0.23513
0.25450
0.27518
10,385
8,307
6,504
4,975
3,709
2,078
1,803
1,529
1,266
1,021
9,346
7,405
5,739
4,342
3,198
36,603
27,257
19,852
14,112
9,771
3.5
3.3
3.1
2.8
2.6
100+
1.00000
2,688
2,688
6,572
6,572
2.4
Probability of
dying between
exact age x and
age x+1
qx
80
81
82
83
84
Age x
(years)
3-30
Annex 3
Table 11 Complete Life Table for Singapore Resident Males, 2006 (Preliminary)
Number of
survivors at
exact age x
lx
Number of
deaths between
exact age x and
age x+1
dx
Number of
person-years
lived between
exact age x and
age x+1
Lx
0.00265
0.00015
0.00015
0.00014
0.00013
100,000
99,735
99,720
99,705
99,692
265
15
14
14
13
99,782
99,727
99,713
99,698
99,685
7,797,682
7,697,899
7,598,172
7,498,460
7,398,761
78.0
77.2
76.2
75.2
74.2
5
6
7
8
9
0.00012
0.00011
0.00010
0.00011
0.00012
99,679
99,667
99,657
99,646
99,635
12
11
10
11
12
99,673
99,662
99,651
99,641
99,630
7,299,076
7,199,403
7,099,741
7,000,090
6,900,449
73.2
72.2
71.2
70.2
69.3
10
11
12
13
14
0.00013
0.00014
0.00016
0.00018
0.00020
99,624
99,611
99,596
99,580
99,563
13
14
16
18
20
99,617
99,603
99,588
99,572
99,553
6,800,819
6,701,202
6,601,599
6,502,010
6,402,439
68.3
67.3
66.3
65.3
64.3
15
16
17
18
19
0.00022
0.00025
0.00028
0.00033
0.00039
99,543
99,520
99,495
99,467
99,434
22
25
28
33
39
99,531
99,508
99,481
99,451
99,415
6,302,886
6,203,355
6,103,847
6,004,366
5,904,915
63.3
62.3
61.3
60.4
59.4
20
21
22
23
24
0.00046
0.00052
0.00055
0.00056
0.00055
99,395
99,350
99,299
99,244
99,188
45
51
55
56
55
99,372
99,324
99,271
99,216
99,161
5,805,500
5,706,128
5,606,804
5,507,533
5,408,317
58.4
57.4
56.5
55.5
54.5
25
26
27
28
29
0.00053
0.00052
0.00052
0.00053
0.00055
99,133
99,081
99,029
98,978
98,926
53
51
51
52
54
99,107
99,055
99,004
98,952
98,899
5,309,157
5,210,050
5,110,995
5,011,991
4,913,039
53.6
52.6
51.6
50.6
49.7
30
31
32
33
34
0.00057
0.00059
0.00062
0.00067
0.00074
98,872
98,816
98,758
98,696
98,629
56
58
62
67
73
98,844
98,787
98,727
98,663
98,593
4,814,140
4,715,296
4,616,509
4,517,782
4,419,120
48.7
47.7
46.7
45.8
44.8
35
36
37
38
39
0.00080
0.00087
0.00095
0.00105
0.00116
98,557
98,478
98,393
98,300
98,197
79
85
93
103
114
98,517
98,436
98,346
98,248
98,140
4,320,527
4,222,009
4,123,574
4,025,227
3,926,979
43.8
42.9
41.9
40.9
40.0
Probability of
dying between
exact age x and
age x+1
qx
0
1
2
3
4
Age x
(years)
Total
person-years
lived after
exact age x
Tx
Expectation
of life at
exact age x
ex
3-31
Annex 3
Table 11 Complete Life Table for Singapore Resident Males, 2006 (Preliminary)
(Continued)
Number of
survivors at
exact age x
lx
Number of
deaths between
exact age x and
age x+1
dx
Number of
person-years
lived between
exact age x and
age x+1
Lx
0.00128
0.00140
0.00154
0.00169
0.00185
98,083
97,957
97,820
97,670
97,505
126
137
150
165
180
98,020
97,889
97,745
97,587
97,415
3,828,839
3,730,819
3,632,930
3,535,186
3,437,598
39.0
38.1
37.1
36.2
35.3
45
46
47
48
49
0.00201
0.00218
0.00240
0.00269
0.00302
97,325
97,129
96,918
96,685
96,425
195
212
233
260
291
97,227
97,024
96,801
96,555
96,280
3,340,184
3,242,957
3,145,933
3,049,132
2,952,577
34.3
33.4
32.5
31.5
30.6
50
51
52
53
54
0.00336
0.00372
0.00412
0.00459
0.00511
96,134
95,811
95,455
95,061
94,625
323
356
393
437
483
95,972
95,633
95,258
94,843
94,383
2,856,297
2,760,325
2,664,692
2,569,434
2,474,591
29.7
28.8
27.9
27.0
26.2
55
56
57
58
59
0.00563
0.00618
0.00685
0.00767
0.00860
94,141
93,612
93,033
92,396
91,687
530
579
637
709
788
93,876
93,322
92,714
92,041
91,293
2,380,208
2,286,331
2,193,009
2,100,295
2,008,254
25.3
24.4
23.6
22.7
21.9
60
61
62
63
64
0.00955
0.01053
0.01166
0.01301
0.01449
90,898
90,031
89,082
88,043
86,898
868
948
1,039
1,146
1,259
90,464
89,556
88,563
87,471
86,268
1,916,961
1,826,497
1,736,940
1,648,378
1,560,907
21.1
20.3
19.5
18.7
18.0
65
66
67
68
69
0.01600
0.01757
0.01933
0.02137
0.02357
85,639
84,268
82,787
81,187
79,452
1,371
1,481
1,600
1,735
1,872
84,953
83,528
81,987
80,320
78,516
1,474,638
1,389,685
1,306,157
1,224,170
1,143,850
17.2
16.5
15.8
15.1
14.4
70
71
72
73
74
0.02580
0.02814
0.03089
0.03425
0.03794
77,580
75,579
73,452
71,183
68,745
2,001
2,127
2,269
2,438
2,608
76,579
74,515
72,317
69,964
67,441
1,065,334
988,755
914,240
841,923
771,959
13.7
13.1
12.4
11.8
11.2
75
76
77
78
79
0.04170
0.04561
0.05016
0.05569
0.06181
66,136
63,379
60,488
57,454
54,254
2,758
2,891
3,034
3,200
3,354
64,758
61,933
58,971
55,854
52,578
704,519
639,761
577,828
518,857
463,003
10.7
10.1
9.6
9.0
8.5
Probability of
dying between
exact age x and
age x+1
qx
40
41
42
43
44
Age x
(years)
Total
person-years
lived after
exact age x
Tx
Expectation
of life at
exact age x
ex
3-32
Annex 3
Table 11 Complete Life Table for Singapore Resident Males, 2006 (Preliminary)
(Continued)
Number of
survivors at
exact age x
lx
Number of
deaths between
exact age x and
age x+1
dx
Number of
person-years
lived between
exact age x and
age x+1
Lx
Total
person-years
lived after
exact age x
Tx
Expectation
of life at
exact age x
ex
0.06804
0.07424
0.08069
0.08775
0.09554
50,901
47,438
43,916
40,372
36,830
3,463
3,522
3,544
3,543
3,519
49,169
45,677
42,144
38,601
35,070
410,425
361,256
315,579
273,435
234,834
8.1
7.6
7.2
6.8
6.4
85
86
87
88
89
0.10391
0.11296
0.12276
0.13334
0.14476
33,311
29,850
26,478
23,228
20,130
3,461
3,372
3,250
3,097
2,914
31,580
28,164
24,853
21,679
18,673
199,763
168,183
140,019
115,167
93,487
6.0
5.6
5.3
5.0
4.6
90
91
92
93
94
0.15708
0.17036
0.18464
0.19999
0.21646
17,216
14,512
12,040
9,817
7,854
2,704
2,472
2,223
1,963
1,700
15,864
13,276
10,928
8,835
7,004
74,814
58,950
45,674
34,746
25,911
4.3
4.1
3.8
3.5
3.3
95
96
97
98
99
0.23411
0.25300
0.27317
0.29469
0.31758
6,154
4,713
3,521
2,559
1,805
1,441
1,192
962
754
573
5,433
4,117
3,040
2,182
1,518
18,907
13,474
9,357
6,317
4,135
3.1
2.9
2.7
2.5
2.3
100+
1.00000
1,232
1,232
2,617
2,617
2.1
Probability of
dying between
exact age x and
age x+1
qx
80
81
82
83
84
Age x
(years)
3-33
Annex 3
Table 12 Complete Life Table for Singapore Resident Females, 2006 (Preliminary)
Number of
survivors at
exact age x
lx
Number of
deaths between
exact age x and
age x+1
dx
Number of
person-years
lived between
exact age x and
age x+1
Lx
0.00210
0.00014
0.00013
0.00013
0.00012
100,000
99,790
99,776
99,763
99,750
210
14
13
13
12
99,828
99,783
99,770
99,756
99,744
8,276,021
8,176,193
8,076,410
7,976,641
7,876,885
82.8
81.9
80.9
80.0
79.0
5
6
7
8
9
0.00012
0.00011
0.00011
0.00011
0.00011
99,737
99,725
99,714
99,703
99,692
12
11
11
11
11
99,731
99,720
99,709
99,698
99,687
7,777,141
7,677,410
7,577,690
7,477,981
7,378,284
78.0
77.0
76.0
75.0
74.0
10
11
12
13
14
0.00011
0.00011
0.00011
0.00012
0.00012
99,681
99,670
99,659
99,648
99,636
11
11
11
12
12
99,676
99,665
99,653
99,642
99,630
7,278,597
7,178,921
7,079,257
6,979,603
6,879,961
73.0
72.0
71.0
70.0
69.1
15
16
17
18
19
0.00013
0.00014
0.00015
0.00016
0.00018
99,624
99,611
99,597
99,582
99,566
13
14
15
16
18
99,617
99,604
99,589
99,574
99,557
6,780,331
6,680,714
6,581,110
6,481,521
6,381,947
68.1
67.1
66.1
65.1
64.1
20
21
22
23
24
0.00020
0.00022
0.00023
0.00024
0.00025
99,548
99,528
99,506
99,483
99,459
20
22
23
24
24
99,538
99,517
99,495
99,471
99,447
6,282,390
6,182,852
6,083,335
5,983,840
5,884,369
63.1
62.1
61.1
60.1
59.2
25
26
27
28
29
0.00025
0.00025
0.00027
0.00029
0.00031
99,435
99,410
99,385
99,358
99,330
25
25
26
29
31
99,422
99,397
99,371
99,344
99,314
5,784,922
5,685,499
5,586,102
5,486,730
5,387,387
58.2
57.2
56.2
55.2
54.2
30
31
32
33
34
0.00034
0.00037
0.00040
0.00042
0.00044
99,298
99,264
99,228
99,188
99,147
34
37
39
42
43
99,281
99,246
99,208
99,168
99,125
5,288,072
5,188,791
5,089,545
4,990,337
4,891,169
53.3
52.3
51.3
50.3
49.3
35
36
37
38
39
0.00046
0.00048
0.00052
0.00058
0.00066
99,103
99,058
99,011
98,960
98,903
45
47
51
57
65
99,081
99,035
98,985
98,931
98,870
4,792,044
4,692,963
4,593,929
4,494,943
4,396,012
48.4
47.4
46.4
45.4
44.4
Probability of
dying between
exact age x and
age x+1
qx
0
1
2
3
4
Age x
(years)
Total
person-years
lived after
exact age x
Tx
Expectation
of life at
exact age x
ex
3-34
Annex 3
Table 12 Complete Life Table for Singapore Resident Females, 2006 (Preliminary)
(Continued)
Number of
survivors at
exact age x
lx
Number of
deaths between
exact age x and
age x+1
dx
Number of
person-years
lived between
exact age x and
age x+1
Lx
0.00074
0.00082
0.00091
0.00100
0.00110
98,838
98,765
98,684
98,594
98,496
73
81
89
99
108
98,801
98,724
98,639
98,545
98,442
4,297,142
4,198,341
4,099,616
4,000,977
3,902,432
43.5
42.5
41.5
40.6
39.6
45
46
47
48
49
0.00120
0.00130
0.00143
0.00160
0.00179
98,388
98,270
98,142
98,002
97,845
118
128
140
157
175
98,329
98,206
98,072
97,924
97,758
3,803,990
3,705,661
3,607,455
3,509,383
3,411,459
38.7
37.7
36.8
35.8
34.9
50
51
52
53
54
0.00199
0.00220
0.00242
0.00266
0.00292
97,670
97,476
97,262
97,027
96,768
194
214
235
258
283
97,573
97,369
97,144
96,897
96,627
3,313,702
3,216,129
3,118,760
3,021,616
2,924,719
33.9
33.0
32.1
31.1
30.2
55
56
57
58
59
0.00318
0.00346
0.00382
0.00431
0.00488
96,485
96,179
95,846
95,480
95,068
307
333
366
412
464
96,332
96,012
95,663
95,274
94,836
2,828,092
2,731,760
2,635,747
2,540,084
2,444,810
29.3
28.4
27.5
26.6
25.7
60
61
62
63
64
0.00548
0.00609
0.00670
0.00735
0.00799
94,604
94,085
93,512
92,886
92,203
519
573
627
682
737
94,344
93,799
93,199
92,544
91,835
2,349,974
2,255,630
2,161,831
2,068,632
1,976,088
24.8
24.0
23.1
22.3
21.4
65
66
67
68
69
0.00863
0.00934
0.01029
0.01158
0.01308
91,466
90,677
89,830
88,906
87,876
789
847
924
1,030
1,149
91,072
90,254
89,368
88,391
87,302
1,884,253
1,793,181
1,702,928
1,613,559
1,525,168
20.6
19.8
19.0
18.1
17.4
70
71
72
73
74
0.01461
0.01624
0.01823
0.02077
0.02364
86,727
85,460
84,072
82,540
80,825
1,267
1,388
1,533
1,714
1,911
86,094
84,766
83,306
81,683
79,870
1,437,866
1,351,773
1,267,006
1,183,700
1,102,018
16.6
15.8
15.1
14.3
13.6
75
76
77
78
79
0.02660
0.02964
0.03303
0.03696
0.04119
78,915
76,816
74,539
72,077
69,413
2,099
2,277
2,462
2,664
2,859
77,865
75,677
73,308
70,745
67,983
1,022,148
944,283
868,605
795,297
724,552
13.0
12.3
11.7
11.0
10.4
Probability of
dying between
exact age x and
age x+1
qx
40
41
42
43
44
Age x
(years)
Total
person-years
lived after
exact age x
Tx
Expectation
of life at
exact age x
ex
3-35
Annex 3
Table 12 Complete Life Table for Singapore Resident Females, 2006 (Preliminary)
(Continued)
Number of
survivors at
exact age x
lx
Number of
deaths between
exact age x and
age x+1
dx
Number of
person-years
lived between
exact age x and
age x+1
Lx
Total
person-years
lived after
exact age x
Tx
Expectation
of life at
exact age x
ex
0.04548
0.04986
0.05475
0.06060
0.06739
66,554
63,527
60,360
57,055
53,597
3,027
3,167
3,305
3,458
3,612
65,040
61,943
58,707
55,326
51,791
656,569
591,529
529,585
470,878
415,552
9.9
9.3
8.8
8.3
7.8
85
86
87
88
89
0.07454
0.08235
0.09087
0.10014
0.11020
49,985
46,259
42,449
38,592
34,728
3,726
3,810
3,857
3,864
3,827
48,122
44,354
40,521
36,660
32,814
363,761
315,639
271,285
230,764
194,104
7.3
6.8
6.4
6.0
5.6
90
91
92
93
94
0.12112
0.13294
0.14570
0.15945
0.17425
30,901
27,158
23,548
20,117
16,909
3,743
3,610
3,431
3,208
2,946
29,029
25,353
21,832
18,513
15,436
161,290
132,261
106,908
85,076
66,563
5.2
4.9
4.5
4.2
3.9
95
96
97
98
99
0.19013
0.20713
0.22529
0.24464
0.26520
13,963
11,308
8,966
6,946
5,247
2,655
2,342
2,020
1,699
1,391
12,635
10,137
7,956
6,096
4,551
51,127
38,491
28,355
20,399
14,302
3.7
3.4
3.2
2.9
2.7
100+
1.00000
3,855
3,855
9,752
9,752
2.5
Probability of
dying between
exact age x and
age x+1
qx
80
81
82
83
84
Age x
(years)
3-36
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