EduSahara™ Assignment
Name : Mean of Grouped Data
Chapter : Statistics
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
The following table shows the weights of
66
persons in a group.
Find the
mean weight.
Weight (in kg)
10 - 16
17 - 23
24 - 30
31 - 37
38 - 44
45 - 51
No. of persons
16
20
8
6
10
6
(i)
288
11
kg
(ii)
929
33
kg
(iii)
896
33
kg
(iv)
865
33
kg
(v)
863
33
kg
Question
2
2.
The following table shows the weights of
61
persons in a group.
Find the
mean weight.
Weight (in kg)
10 - 18
18 - 26
26 - 34
34 - 42
42 - 50
50 - 58
58 - 66
No. of persons
11
14
6
12
5
6
7
(i)
2208
61
kg
(ii)
2088
61
kg
(iii)
2086
61
kg
(iv)
2147
61
kg
(v)
2087
61
kg
Question
3
3.
The daily wages of
71
workers in a factory are given below.
Find the
mean wage.
Wage (in rupees)
20 - 28
29 - 37
38 - 46
47 - 55
56 - 64
No. of workers
14
8
30
14
5
(i)
₹
40.49
(ii)
₹
40.51
(iii)
₹
41.48
(iv)
₹
40.48
(v)
₹
42.48
Question
4
4.
The daily wages of
108
workers in a factory are given below.
Find the
mean wage.
Wage (in rupees)
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
80 - 90
No. of workers
23
6
6
18
21
7
27
(i)
₹
57.70
(ii)
₹
57.69
(iii)
₹
58.69
(iv)
₹
59.69
(v)
₹
57.72
Question
5
5.
A frequency distribution table is given below.
Find the
mean .
Class-Interval
18 - 28
29 - 39
40 - 50
51 - 61
62 - 72
73 - 83
84 - 94
95 - 105
Frequency
45
31
50
21
10
45
2
15
(i)
3791
73
(ii)
3793
73
(iii)
3937
73
(iv)
3864
73
(v)
3792
73
Question
6
6.
A frequency distribution table is given below.
Find the
mean .
Class-Interval
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
Frequency
45
37
43
44
24
(i)
8335
386
(ii)
4168
193
(iii)
8337
386
(iv)
8721
386
(v)
9107
386
Question
7
7.
The following frequency distribution table gives
the monthly consumption of electricity of
107
consumers in a locality.
Find the
mean units.
Monthly consumption (in units)
72 - 82
82 - 92
92 - 102
102 - 112
112 - 122
122 - 132
No. of consumers
21
21
24
12
21
8
(i)
10636
107
units
(ii)
10743
107
units
(iii)
10531
107
units
(iv)
10529
107
units
(v)
10530
107
units
Question
8
8.
If the sum of the following frequency distribution is
25
,
find the value of 'x'.
Class-Interval
Frequency
10 - 16
6
17 - 23
3
24 - 30
5
31 - 37
x
38 - 44
5
(i)
6
(ii)
3
(iii)
5
(iv)
7
(v)
8
Question
9
9.
If the mean of the following frequency distribution is
42
23
29
,
find the value of 'x'.
Class-Interval
Frequency
20 - 26
5
27 - 33
4
34 - 40
7
41 - 47
3
48 - 54
2
55 - 61
x
62 - 68
7
(i)
2
(ii)
-1
(iii)
3
(iv)
0
(v)
1
Question
10
10.
The heights of 32 pupils in a school are given below. Calculate the mean height correct to 2 decimal places.
Height (in cm)
less than 133
less than 140
less than 147
less than 154
less than 161
No. of pupils
8
12
16
26
32
(i)
143.94 cm
(ii)
155.94 cm
(iii)
115.94 cm
(iv)
158.94 cm
(v)
139.94 cm
Question
11
11.
The daily wage of 42 workers of a factory is given below. Calculate the mean wage correct to 2 decimal places.
Daily income (in Rs)
less than 120
less than 140
less than 160
less than 180
less than 200
less than 220
No. of workers
7
15
24
31
36
42
(i)
₹142.19
(ii)
₹143.19
(iii)
₹168.19
(iv)
₹156.19
(v)
₹179.19
Question
12
12.
The marks obtained by 55 students of a class in an examination is given below. Calculate the mean mark correct to 2 decimal places.
Marks
less than 15
less than 20
less than 25
less than 30
less than 35
less than 40
less than 45
No. of students
10
19
26
33
39
49
55
(i)
26.50
(ii)
31.50
(iii)
23.50
(iv)
29.50
(v)
21.50
Question
13
13.
The production yield in kg per hectare of wheat of 42 farms of a village is given below. Calculate the mean yield correct to 2 decimal places.
Production yield (in kg/ha)
less than 78
less than 86
less than 94
less than 102
less than 110
less than 118
Number of farms
6
13
18
26
33
42
(i)
95.71
(ii)
98.71
(iii)
92.71
(iv)
100.71
(v)
90.71
Assignment Key
1) (v)
2) (iii)
3) (iv)
4) (ii)
5) (i)
6) (i)
7) (iv)
8) (i)
9) (v)
10) (i)
11) (iv)
12) (i)
13) (i)
