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
71
persons in a group.
Find the
mean weight.
Weight (in kg)
20 - 26
27 - 33
34 - 40
41 - 47
48 - 54
55 - 61
62 - 68
No. of persons
7
13
7
18
5
15
6
(i)
3118
71
kg
(ii)
3259
71
kg
(iii)
3119
71
kg
(iv)
3117
71
kg
(v)
3188
71
kg
Question
2
2.
The following table shows the weights of
66
persons in a group.
Find the
mean weight.
Weight (in kg)
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
No. of persons
15
9
6
11
8
17
(i)
582
11
kg
(ii)
560
11
kg
(iii)
562
11
kg
(iv)
51
kg
(v)
571
11
kg
Question
3
3.
The daily wages of
93
workers in a factory are given below.
Find the
mean wage.
Wage (in rupees)
30 - 39
40 - 49
50 - 59
60 - 69
70 - 79
80 - 89
No. of workers
6
25
7
19
13
23
(i)
₹
63.78
(ii)
₹
64.78
(iii)
₹
62.78
(iv)
₹
62.79
Question
4
4.
The daily wages of
99
workers in a factory are given below.
Find the
mean wage.
Wage (in rupees)
30 - 39
39 - 48
48 - 57
57 - 66
66 - 75
No. of workers
20
23
6
29
21
(i)
₹
53.32
(ii)
₹
53.23
(iii)
₹
53.27
(iv)
₹
54.23
(v)
₹
55.23
Question
5
5.
A frequency distribution table is given below.
Find the
mean .
Class-Interval
19 - 25
26 - 32
33 - 39
40 - 46
47 - 53
54 - 60
61 - 67
68 - 74
Frequency
12
31
40
26
13
45
4
42
(i)
10387
213
(ii)
3392
71
(iii)
10600
213
(iv)
10174
213
(v)
10175
213
Question
6
6.
A frequency distribution table is given below.
Find the
mean .
Class-Interval
7 - 16
16 - 25
25 - 34
34 - 43
43 - 52
52 - 61
61 - 70
Frequency
47
4
6
13
36
44
49
(i)
8706
199
(ii)
18207
398
(iii)
17809
398
(iv)
17413
398
(v)
17411
398
Question
7
7.
The following frequency distribution table gives
the monthly consumption of electricity of
111
consumers in a locality.
Find the
mean units.
Monthly consumption (in units)
67 - 77
77 - 87
87 - 97
97 - 107
107 - 117
No. of consumers
25
24
19
22
21
(i)
3371
37
units
(ii)
10223
111
units
(iii)
10112
111
units
(iv)
10334
111
units
(v)
10114
111
units
Question
8
8.
If the sum of the following frequency distribution is
45
,
find the value of 'x'.
Class-Interval
Frequency
20 - 30
4
31 - 41
9
42 - 52
8
53 - 63
9
64 - 74
3
75 - 85
x
86 - 96
4
97 - 107
6
(i)
5
(ii)
1
(iii)
2
(iv)
-1
(v)
3
Question
9
9.
If the mean of the following frequency distribution is
50
37
66
,
find the value of 'x'.
Class-Interval
Frequency
20 - 29
4
30 - 39
5
40 - 49
4
50 - 59
10
60 - 69
7
70 - 79
x
(i)
3
(ii)
4
(iii)
0
(iv)
2
(v)
5
Question
10
10.
The heights of 55 pupils in a school are given below. Calculate the mean height correct to 2 decimal places.
Height (in cm)
less than 138
less than 146
less than 154
less than 162
less than 170
less than 178
No. of pupils
11
17
27
36
43
55
(i)
154.51 cm
(ii)
136.51 cm
(iii)
171.51 cm
(iv)
150.51 cm
(v)
170.51 cm
Question
11
11.
The daily wage of 38 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
8
13
19
24
32
38
(i)
₹132.47
(ii)
₹185.47
(iii)
₹157.47
(iv)
₹172.47
(v)
₹159.47
Question
12
12.
The marks obtained by 53 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
13
22
32
42
48
53
(i)
27.03
(ii)
35.03
(iii)
32.03
(iv)
29.03
(v)
37.03
Question
13
13.
The production yield in kg per hectare of wheat of 39 farms of a village is given below. Calculate the mean yield correct to 2 decimal places.
Production yield (in kg/ha)
less than 75
less than 80
less than 85
less than 90
less than 95
Number of farms
10
19
25
30
39
(i)
84.73
(ii)
86.73
(iii)
78.73
(iv)
81.73
(v)
76.73
Assignment Key
1) (iv)
2) (ii)
3) (iii)
4) (ii)
5) (iv)
6) (v)
7) (iii)
8) (iii)
9) (i)
10) (i)
11) (v)
12) (iii)
13) (iv)
