Q1.
Given below is a cumulative frequency distribution table showing the marks
secured by
students of a class.
Marks
Q2.
Q3.
Below 20
17
Below 40
22
Below 60
29
Below 80
37
Below 100
50
From a frequency table from the above data.
Define the following: (i) Variate (ii) Class interval (iii) Class size (iv) Class mark
The income and expenditure for
of a family are given in the following data:
year
1995-96
1996-199797
98
1998-99
1999-2000
Income
(Rs in
Thousands
Expenditure
(Rs in
Thousands)
100
140
150
170
210
80
130
145
160
190
Represent the above data by
Q4.
Numbers of students
a bar graph.
The following table shows the number of illiterate persons in the age group
in a town.
Age
group( in
Years)
No. of
Illiterate
Persons
10-16
17-23
23-30
31-37
38-44
45-51
52-58
175
325
100
150
250
400
525
Draw a histogram to
represent the above data.
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Q5. Draw a histogram to represent the following data:
Q6.
Q7.
Class
Interval
10-14
14-20
20-32
32-52
52-80
Frequency
5
4
9
25
21
Draw a histogram and a frequency polygon to represent the following distribution
of total house hold expenditure (in Rs) of manual workers in a city.
Expenditure
(in Rs)
100150
150200
250300
No. of
manual
workers
25
40
33
28
Expenditure
(in Rs)
300350
350
-400
400450
450500
No. Of
manual
workers
30
22
16
8
2002
5
0
Construct a frequency polygon for the following data:
Age(in
Years)
0-2
2-4
4-6
6-8
8-10
10-12
12-14
14-16
16-18
Frequency
2
4
6
8
9
6
5
3
1
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Q8.
Draw the frequency polygon representing the following frequency distribution:
Daily income (in Rs)
No. of Doctors
0-1000
8
1000-2000
7
2000-3000
12
Daily income(in Rs)
3000-4000
4000-5000
5000-6000
No. of Doctors
6
11
6
Q9.
Q10.
If the mean of the following distribution is
3
5
7
6
8
15
The mean of the marks
scored by
discovered that a score of
Q11. The mean of
result is
Q12.
Q13.
results is
, find the
11
13
8
4
students was found to be
was misread as
. Later it was
. Find the correct mean.
. If the mean of first
results is
and that of last
result.
Use the step- deviation method to find the arithmetic mean from the following
data:
18
19
20
21
22
23
24
170
320
530
700
230
140
110
The mean monthly salary of
monthly salary is
Q14.
9
, find the value of .
workers is
, one more member whose
, joins the company. Find the mean monthly salary of
members.
Use the assumed mean method to find the mean weekly wages from the data
given below:
Weekly
Wages(in
Rs)
800
820
860
900
920
980
1000
No. Of
workers
7
14
19
25
20
10
5
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Q15.
The following data has been arranged in ascending order:
If the median of the data is
Q16.
, find . In the above data, if
the new median.
The following data has been arranged in ascending order :
. If the mean of the data is
is changed
, find
, find
and hence
find its median.
Q17.
The weights (in kg) of
students are given below. Calculate the mode.
Q18.
For what value of , the mode of the following data is
Q19.
The ages of the employees of a company are given below:
Q20.
?
Age (in year)
19
21
23
25
27
29
31
Number of Persons
13
15
16
18
16
15
13
Using the empirical formula, calculate the mode for the following data:
Answers
A1.
Marks
Cumulative frequency
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Number of students
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A2.
(i) Any character which is capable of taking several values is called a variate.
(ii) Each group into which the raw data is condensed is called a class interval.
(iii) The difference between the true upper limit and the true lower limit of a class
is called its class size.
(iv)
A3.
A4.
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A5.
A6.
A7.
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A8.
A9.
A10.
A11.
A12.
A13.
A14.
A15.
A16.
A17.
A18.
A19.
A20.
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