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
79
persons in a group.
Find the
mean weight.
Weight (in kg)
40 - 49
50 - 59
60 - 69
70 - 79
80 - 89
90 - 99
No. of persons
20
20
12
13
6
8
(i)
9973
158
kg
(ii)
9971
158
kg
(iii)
10129
158
kg
(iv)
10287
158
kg
(v)
4986
79
kg
Question
2
2.
The following table shows the weights of
72
persons in a group.
Find the
mean weight.
Weight (in kg)
50 - 59
59 - 68
68 - 77
77 - 86
86 - 95
95 - 104
No. of persons
14
8
5
17
19
9
(i)
313
4
kg
(ii)
317
4
kg
(iii)
321
4
kg
(iv)
157
2
kg
(v)
315
4
kg
Question
3
3.
The daily wages of
126
workers in a factory are given below.
Find the
mean wage.
Wage (in rupees)
30 - 37
38 - 45
46 - 53
54 - 61
62 - 69
70 - 77
No. of workers
19
21
30
13
21
22
(i)
₹
53.45
(ii)
₹
53.44
(iii)
₹
54.44
(iv)
₹
55.44
Question
4
4.
The daily wages of
115
workers in a factory are given below.
Find the
mean wage.
Wage (in rupees)
30 - 37
37 - 44
44 - 51
51 - 58
58 - 65
65 - 72
72 - 79
No. of workers
8
13
27
21
6
22
18
(i)
₹
56.14
(ii)
₹
58.14
(iii)
₹
57.14
(iv)
₹
56.15
Question
5
5.
A frequency distribution table is given below.
Find the
mean .
Class-Interval
8 - 15
16 - 23
24 - 31
32 - 39
40 - 47
48 - 55
56 - 63
64 - 71
Frequency
49
7
2
38
34
16
50
45
(i)
10420
241
(ii)
21803
482
(iii)
20841
482
(iv)
21321
482
(v)
20839
482
Question
6
6.
A frequency distribution table is given below.
Find the
mean .
Class-Interval
8 - 15
15 - 22
22 - 29
29 - 36
36 - 43
43 - 50
50 - 57
57 - 64
Frequency
40
43
28
19
23
19
18
13
(i)
1809
58
(ii)
1751
58
(iii)
1753
58
(iv)
1867
58
(v)
876
29
Question
7
7.
The following frequency distribution table gives
the monthly consumption of electricity of
88
consumers in a locality.
Find the
mean units.
Monthly consumption (in units)
55 - 75
75 - 95
95 - 115
115 - 135
135 - 155
155 - 175
No. of consumers
14
24
14
18
9
9
(i)
217
2
units
(ii)
108
units
(iii)
215
2
units
(iv)
219
2
units
Question
8
8.
If the sum of the following frequency distribution is
39
,
find the value of 'x'.
Class-Interval
Frequency
10 - 16
10
17 - 23
9
24 - 30
x
31 - 37
7
38 - 44
1
45 - 51
3
(i)
8
(ii)
10
(iii)
7
(iv)
9
(v)
12
Question
9
9.
If the mean of the following frequency distribution is
27
21
34
,
find the value of 'x'.
Class-Interval
Frequency
10 - 17
8
18 - 25
8
26 - 33
x
34 - 41
8
42 - 49
4
(i)
3
(ii)
9
(iii)
5
(iv)
7
(v)
6
Question
10
10.
The heights of 56 pupils in a school are given below. Calculate the mean height correct to 2 decimal places.
Height (in cm)
less than 139
less than 149
less than 159
less than 169
less than 179
less than 189
No. of pupils
3
14
25
37
47
56
(i)
174.50 cm
(ii)
173.50 cm
(iii)
143.50 cm
(iv)
147.50 cm
(v)
161.50 cm
Question
11
11.
The daily wage of 45 workers of a factory is given below. Calculate the mean wage correct to 2 decimal places.
Daily income (in Rs)
less than 110
less than 120
less than 130
less than 140
less than 150
less than 160
No. of workers
8
14
24
33
40
45
(i)
₹154.56
(ii)
₹121.56
(iii)
₹104.56
(iv)
₹131.56
(v)
₹128.56
Question
12
12.
The marks obtained by 45 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
8
16
24
29
34
39
45
(i)
30.83
(ii)
25.83
(iii)
35.83
(iv)
33.83
(v)
27.83
Question
13
13.
The production yield in kg per hectare of wheat of 35 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
Number of farms
7
13
21
26
35
(i)
90.10
(ii)
98.10
(iii)
96.10
(iv)
93.10
(v)
88.10
Assignment Key
1) (ii)
2) (i)
3) (ii)
4) (i)
5) (v)
6) (ii)
7) (iii)
8) (iv)
9) (v)
10) (v)
11) (v)
12) (i)
13) (iv)
