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
96
persons in a group.
Find the
mean weight.
Weight (in kg)
40 - 45
46 - 51
52 - 57
58 - 63
64 - 69
70 - 75
76 - 81
No. of persons
13
14
5
17
17
17
13
(i)
509
8
kg
(ii)
495
8
kg
(iii)
493
8
kg
(iv)
501
8
kg
(v)
247
4
kg
Question
2
2.
The following table shows the weights of
67
persons in a group.
Find the
mean weight.
Weight (in kg)
50 - 59
59 - 68
68 - 77
77 - 86
86 - 95
No. of persons
16
12
10
10
19
(i)
9787
134
kg
(ii)
9789
134
kg
(iii)
10055
134
kg
(iv)
9921
134
kg
(v)
4894
67
kg
Question
3
3.
The daily wages of
148
workers in a factory are given below.
Find the
mean wage.
Wage (in rupees)
20 - 26
27 - 33
34 - 40
41 - 47
48 - 54
55 - 61
No. of workers
26
30
25
27
16
24
(i)
₹
39.33
(ii)
₹
39.32
(iii)
₹
40.32
(iv)
₹
41.32
Question
4
4.
The daily wages of
98
workers in a factory are given below.
Find the
mean wage.
Wage (in rupees)
20 - 27
27 - 34
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
69 - 76
No. of workers
7
30
9
8
8
18
8
10
(i)
₹
47.79
(ii)
₹
45.86
(iii)
₹
45.93
(iv)
₹
45.79
(v)
₹
46.79
Question
5
5.
A frequency distribution table is given below.
Find the
mean .
Class-Interval
6 - 15
16 - 25
26 - 35
36 - 45
46 - 55
56 - 65
66 - 75
76 - 85
Frequency
33
9
10
10
32
11
7
37
(i)
13991
298
(ii)
14585
298
(iii)
14287
298
(iv)
13989
298
(v)
6995
149
Question
6
6.
A frequency distribution table is given below.
Find the
mean .
Class-Interval
3 - 8
8 - 13
13 - 18
18 - 23
23 - 28
28 - 33
Frequency
50
24
23
36
15
10
(i)
2311
158
(ii)
1155
79
(iii)
2625
158
(iv)
2467
158
(v)
2309
158
Question
7
7.
The following frequency distribution table gives
the monthly consumption of electricity of
89
consumers in a locality.
Find the
mean units.
Monthly consumption (in units)
56 - 76
76 - 96
96 - 116
116 - 136
136 - 156
156 - 176
176 - 196
No. of consumers
16
13
11
10
18
9
12
(i)
11132
89
units
(ii)
10954
89
units
(iii)
10956
89
units
(iv)
11043
89
units
(v)
10955
89
units
Question
8
8.
If the sum of the following frequency distribution is
29
,
find the value of 'x'.
Class-Interval
Frequency
20 - 28
4
29 - 37
1
38 - 46
8
47 - 55
x
56 - 64
2
65 - 73
6
(i)
5
(ii)
10
(iii)
8
(iv)
7
(v)
9
Question
9
9.
If the mean of the following frequency distribution is
39
11
19
,
find the value of 'x'.
Class-Interval
Frequency
20 - 26
6
27 - 33
9
34 - 40
x
41 - 47
3
48 - 54
4
55 - 61
8
(i)
9
(ii)
6
(iii)
11
(iv)
8
(v)
7
Question
10
10.
The heights of 28 pupils in a school are given below. Calculate the mean height correct to 2 decimal places.
Height (in cm)
less than 131
less than 137
less than 143
less than 149
less than 155
No. of pupils
5
12
16
23
28
(i)
158.00 cm
(ii)
134.00 cm
(iii)
118.00 cm
(iv)
167.00 cm
(v)
140.00 cm
Question
11
11.
The daily wage of 55 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
less than 240
No. of workers
7
16
25
35
44
49
55
(i)
₹178.00
(ii)
₹142.00
(iii)
₹164.00
(iv)
₹166.00
(v)
₹179.00
Question
12
12.
The marks obtained by 54 students of a class in an examination is given below. Calculate the mean mark correct to 2 decimal places.
Marks
less than 20
less than 25
less than 30
less than 35
less than 40
less than 45
less than 50
No. of students
7
16
24
33
42
48
54
(i)
36.76
(ii)
31.76
(iii)
34.76
(iv)
26.76
(v)
28.76
Question
13
13.
The production yield in kg per hectare of wheat of 44 farms of a village is given below. Calculate the mean yield correct to 2 decimal places.
Production yield (in kg/ha)
less than 82
less than 89
less than 96
less than 103
less than 110
less than 117
Number of farms
6
15
25
32
39
44
(i)
97.89
(ii)
99.89
(iii)
94.89
(iv)
91.89
(v)
89.89
Assignment Key
1) (iii)
2) (i)
3) (ii)
4) (iv)
5) (iv)
6) (v)
7) (ii)
8) (iii)
9) (iv)
10) (v)
11) (iv)
12) (ii)
13) (iii)
