€*qw 6.Y, 0,5C
^L
suL- S+ct-tl5*lts ?
Date 17.11.2016 Q. P. Code: 755204
o1.
l-^rrpcf fhe tbllowlng u neccssar
(a)
(1)
(2)
(3)
J
Upper limtt ts nor tnstYttvY t'
GI
o1
(s)
(b)
(1)
Answer in q49 senlgnce'
flr^'^^*:,^
t.^o^,,".tions ii) Size oi
(10)
(02)
(02)
(02)
(02)
(02)
(10)
(02)
d
a
^^,{
(21
(02)
(02)
pfc
-rinac
(3)
same
(4)
amount. .....(4lY
twu/ ,
,.-
- ---,t,-:---
-----
|
Two sets of data can be compareq usur6
is calculated for each set of data'
of range:
coeffrcient
#,4\ilhish
(02)
(02)
(s)
o2.
(10)
(1)
e,
Foot-note ""(5mks)
ata.
(A)+(tt)-N : lou, \faDl l\
anta is inconsistent.
...(Smf9-av be
t0)
(2)
(3)
(10)
rs rtuL rl
Attribute is a characterlstlc wnrsr
C;;Jiti.tt for consistenc'y for three attributes'
(10)
(4)
labels. Ordinal scale ranks
es between consecutive ranks
Page [1
Date 17.11.2016 Q. P. Code: 755204
ilitGi"*trlitia .......(3mks) : iltli",tQual
iii iiq".f i *ive and Quantitative
11tL.t: :*:: :?1:
quuntitat]ve
data is about measurable
#ffi;.n*""riltm uiJ
data
i
ii)L"*
thanogivls:
Procedure
ives: Procedure
""""(4mks)
" "(3T5t),,-,
.............(3mks
value'
property of data to accumurate arouno central
ffi
..........(2mks)
mean ii) Geometric mean iii)
Mathematical measures: i) Arithmetic
Harmonic mean ............(2mks)
positional
llleclDuvr' i\ Irrferlian ii) Mode .......(lmk)
roslLlulrar measures:
Graphical method to
Graphical method to
Find arithmet[ mqq4 and mogl
20-30 30-40 40-50 50-60 60-70
Suration of overtime
(in hours)
No. of workers(fl
x
50
25
75
100
35
45
t25
))
70-80
25
65
25
75
x
52 "" ' '(4mks)
:
50-60i: modal class Mode lr * Q, - Ir.)
(ii) Empirical relation between mean' mode and median is
ffi,=
MLun-Mod":3(Mean-M
TWOsuh-ouestions.
ata......(2mks)
Relative
compari
whereas
n:
""""(3mrs;
usedio find dispersion in the data
more
used to compare dispersion in two or
es are
........(4mks)
ut-:+^ -La*f rnta nn Rorr
IS
Measuresandskewness:i)KarlPearson'scoettlclentoISKewIrgUsrr,, on
of skewness based
Bowley's coefficient oitit*nttt iii) Measure
moments ........(3mks)
t
u *ttain distribution mean =,10,S.q1T^1P.t:
moments
central
UJ"g relationship between raw and
:1544
:
l!6,
VJ'
u,' =-Mean = l0 p2'
ffi,
Page l2
Date 17.11.2016 Q. P. Code: 755204
Distance in kms
motorcYcles
-No. of
cf
40-45
45-50
50-55
10
t7
23
2l
10
:
50
49'41176471
0 is Qr class Qr lr+O2-L)G'lA-cfll!
50-65 is Qz class Q2 = l1+Q2-lr)(2N/4-c0 ry
-^!s-oo is dg class q, r'*irr-tti(gNl+-cf) l?- 58'125
= 4'356617 645
(i)quartile deviation
T
:
:
ry
:
ffi,=
t:ffi:
(ii) coefficient of quartile deviatio "
(iii)Bowley's measure of skewnes
55-60
40
90
60-65
10
100
"""(3mks)
0' 08 I 025
64
-0'282700421" "'(4mks)
moments"""(3mks)
ID Effect of change of origin and scale o; ctntral
H'OIIR sub-ouestions.
random samPling
(v) Simple
(iv) Simple random samplingwith replacemelifltu*l
ine without rePlagglqent (SRSWOR
of arithmetic mean'
@ies
't*.n rtorn arithmetic t:11 it
ofieviation'
it
:tt:l ?)
is
arithmetic mean is mini m. 3) If a constant
will
mean
in the data, arithmetic
added or subtracted fr;; each observation
increase or
Stem and leaf diagram.
il
;iffi;#,J;;;.",o
lli::::l:t"
decle@
3 11,2,3,4,4,6,6,7,8
4 | 1,2,4,7,7,8,9
5 | o, 0,2,2,5,8, 8
is usedwhich is
i
No. of classes : k -- | + 3.3221og ro N
suggested by Sturges
Width of class intervalcan be obtiined using formula
Observation
inimum
Observation-M
,, ,, ,.r^ : Maximum
wlqtn rr-.-L-,
-r^.?.e
^3
in and scale on
ce!q4 moments'
Effect of
standard deviation'
Find the correct mean-arul
Conect X- = 40.09, Conect S'D' = 10'08473599
'l'oLtrlofa
the
Total
Non-
Maharashtrians
Maharashtrians
WM
Bovs
300
Girls
200
NWM
150
675
Total
450
875
Total
500
825
1325
Girls
Total
500
900
775
400
350
r250
1600
fi75
750
1750
2500
Boys
Girls
Total Boys
100
300
575
400
875
200
300
[.F* * * * * * * * tF * {. * !F * {( {' {c * * tr * rf tr
Page l3