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
56
persons in a group.
Find the
mean weight.
Weight (in kg)
30 - 40
41 - 51
52 - 62
63 - 73
74 - 84
No. of persons
17
10
9
5
15
(i)
3205
56
kg
(ii)
3149
56
kg
(iii)
221
4
kg
(iv)
3093
56
kg
(v)
3095
56
kg
Question
2
2.
The following table shows the weights of
91
persons in a group.
Find the
mean weight.
Weight (in kg)
40 - 49
49 - 58
58 - 67
67 - 76
76 - 85
85 - 94
94 - 103
103 - 112
No. of persons
19
17
5
15
7
13
8
7
(i)
12815
182
kg
(ii)
12997
182
kg
(iii)
1831
26
kg
(iv)
13179
182
kg
(v)
6408
91
kg
Question
3
3.
The daily wages of
141
workers in a factory are given below.
Find the
mean wage.
Wage (in rupees)
30 - 38
39 - 47
48 - 56
57 - 65
66 - 74
75 - 83
84 - 92
No. of workers
16
15
17
29
28
27
9
(i)
₹
61.89
(ii)
₹
62.89
(iii)
₹
61.94
(iv)
₹
63.89
(v)
₹
61.91
Question
4
4.
The daily wages of
131
workers in a factory are given below.
Find the
mean wage.
Wage (in rupees)
30 - 38
38 - 46
46 - 54
54 - 62
62 - 70
70 - 78
78 - 86
No. of workers
5
9
26
10
22
29
30
(i)
₹
64.79
(ii)
₹
64.78
(iii)
₹
65.78
(iv)
₹
66.78
Question
5
5.
A frequency distribution table is given below.
Find the
mean .
Class-Interval
12 - 22
23 - 33
34 - 44
45 - 55
56 - 66
67 - 77
Frequency
24
40
8
4
44
36
(i)
1831
39
(ii)
1907
39
(iii)
1829
39
(iv)
610
13
(v)
1868
39
Question
6
6.
A frequency distribution table is given below.
Find the
mean .
Class-Interval
10 - 19
19 - 28
28 - 37
37 - 46
46 - 55
55 - 64
64 - 73
Frequency
1
44
27
47
46
1
40
(i)
9411
206
(ii)
9001
206
(iii)
9205
206
(iv)
4500
103
(v)
8999
206
Question
7
7.
The following frequency distribution table gives
the monthly consumption of electricity of
97
consumers in a locality.
Find the
mean units.
Monthly consumption (in units)
42 - 52
52 - 62
62 - 72
72 - 82
82 - 92
92 - 102
102 - 112
No. of consumers
11
13
22
13
19
9
10
(i)
7330
97
units
(ii)
7523
97
units
(iii)
7329
97
units
(iv)
7331
97
units
(v)
7426
97
units
Question
8
8.
If the sum of the following frequency distribution is
38
,
find the value of 'x'.
Class-Interval
Frequency
10 - 15
2
16 - 21
4
22 - 27
x
28 - 33
8
34 - 39
8
40 - 45
2
46 - 51
10
(i)
5
(ii)
6
(iii)
4
(iv)
3
(v)
2
Question
9
9.
If the mean of the following frequency distribution is
46
1
10
,
find the value of 'x'.
Class-Interval
Frequency
20 - 29
3
30 - 39
9
40 - 49
x
50 - 59
5
60 - 69
7
(i)
-2
(ii)
4
(iii)
0
(iv)
1
(v)
2
Question
10
10.
The heights of 43 pupils in a school are given below. Calculate the mean height correct to 2 decimal places.
Height (in cm)
less than 135
less than 145
less than 155
less than 165
less than 175
No. of pupils
11
20
24
36
43
(i)
162.84 cm
(ii)
148.84 cm
(iii)
146.84 cm
(iv)
126.84 cm
(v)
154.84 cm
Question
11
11.
The daily wage of 60 workers of a factory is given below. Calculate the mean wage correct to 2 decimal places.
Daily income (in Rs)
less than 220
less than 240
less than 260
less than 280
less than 300
less than 320
less than 340
No. of workers
9
19
26
36
42
51
60
(i)
₹274.00
(ii)
₹269.00
(iii)
₹286.00
(iv)
₹253.00
(v)
₹241.00
Question
12
12.
The marks obtained by 37 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 25
less than 35
less than 45
less than 55
No. of students
8
18
23
31
37
(i)
31.38
(ii)
28.38
(iii)
23.38
(iv)
25.38
(v)
33.38
Question
13
13.
The production yield in kg per hectare of wheat of 40 farms of a village is given below. Calculate the mean yield correct to 2 decimal places.
Production yield (in kg/ha)
less than 79
less than 88
less than 97
less than 106
less than 115
Number of farms
10
16
25
30
40
(i)
95.28
(ii)
87.28
(iii)
97.28
(iv)
89.28
(v)
92.28
Assignment Key
1) (iv)
2) (i)
3) (i)
4) (ii)
5) (iii)
6) (v)
7) (iii)
8) (iii)
9) (iv)
10) (ii)
11) (ii)
12) (ii)
13) (v)
