Class XI
Economics
Statistics for Economics
Practice Assignment from Numerical Part
Q.1. Arrange the following data in the form of an
exclusive frequency distribution, using 5-10 as the initial class interval:
12, 36, 40, 30, 28, 20, 19, 10, 10, 19, 27, 15, 26,
10, 19, 7, 45, 33, 26, 37, 5, 20, 11, 17, 37, 30, 20.
(4)
Q.2. Construct the simple frequency distribution from
the following data:
|
Mid-value
|
5
|
15
|
25
|
35
|
45
|
55
|
|
Frequency
|
2
|
8
|
15
|
12
|
7
|
6
|
On the
basis of the resulting frequency distribution, prepare ‘less than and more than
Cumulative Frequency Distribution’. (6)
Q.3. An economic survey revealed that 30 families in a
town incur following expenditure in a day (rupees).
11, 12, 14, 16, 16, 17, 18, 18, 20, 20, 20, 21, 21,
22, 22, 23, 23, 24, 25, 25, 26, 27, 28, 28, 31, 32, 32, 33, 36, 38.
(i) Convert these data in the form of a frequency
distribution, using the following class intervals.
10-14, 15-19, 20-24, 25-29, 30-34 and 35-39.
(ii) How many families spend more than 29 rupees a
day? (6)
Q.4. The following table gives the daily income of ten
workers in a factory. Find the arithmetic mean.
120, 260, 220, 370, 350, 200, 300, 250, 180, 150.
(3)
Q.5. Average income of 50 families is Rs. 3000. Of
these average income of 12 families is Rs. 1800. Find out the average income of
the remaining families. (4)
Q.6. Find out the missing information in the following
table given mean as
Rs. 50.75 :
Rs. 50.75 :
|
Wages(weekly)
|
40-43
|
43-46
|
46-49
|
49-52
|
52-55
|
|
Frequency
|
3
|
6
|
9
|
13
|
?
|
(6)
Q.6. Calculate weighted mean of the following:
|
Items
|
81
|
76
|
74
|
58
|
70
|
73
|
|
Weight
|
2
|
3
|
6
|
7
|
3
|
7
|
(4)
Q.7. Calculate mean of the following frequency
distribution using short-cut method.
|
Age
|
10-20
|
20-30
|
30-40
|
40-50
|
50-60
|
|
People(‘000)
|
30
|
32
|
15
|
12
|
9
|
(4)
Q.8. Marks secured by 42 students in Economics are :
|
Marks
|
15
|
20
|
22
|
23
|
27
|
35
|
18
|
|
Students
|
8
|
4
|
7
|
3
|
8
|
7
|
5
|
Find out the average marks using step-deviation
method. (4)
Q.9. Find the missing information in the following
table:
|
|
A
|
B
|
C
|
Combined
|
|
Number(N)
|
10
|
8
|
?
|
24
|
|
Mean
|
20
|
?
|
6
|
15
|
(6)
Q.10. Calculate the arithmetic mean.
|
Rupees (Less than)
|
10
|
20
|
30
|
40
|
50
|
60
|
70
|
80
|
|
cf
|
15
|
35
|
60
|
84
|
96
|
127
|
198
|
250
|
(6)
Q.11. A cricketer made the following runs in different
matches:
|
Runs
|
5-15
|
15-25
|
25-35
|
35-45
|
45-55
|
|
Frequency
|
10
|
12
|
17
|
19
|
22
|
Calculate mean runs. (6)
Q.12. Following information pertains to the daily
income of 150 families. Calculate the arithmetic mean.
|
Income
(in Rupess) |
Number of Families
|
|
More than 75
|
150
|
|
More than 85
|
140
|
|
More than 95
|
115
|
|
More than 105
|
95
|
|
More than 115
|
70
|
|
More than 125
|
60
|
|
More than 135
|
40
|
|
More than 145
|
25
|
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