EduSahara™ Assignment
Name : Mean of Grouped Data
Chapter : Measures of Central Tendency
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
Heights of 25 students are given below. Find the mean.
Height (in cm)
133
146
151
153
158
160
165
No. of students
4
8
3
4
2
2
2
(i)
3732
25
cm
(ii)
3733
25
cm
(iii)
3731
25
cm
(iv)
3756
25
cm
(v)
3781
25
cm
Question
2
2.
Heights of 25 plants are given below. Find the mean.
Height (in cm)
53
62
68
86
87
89
91
99
No. of plants
3
3
1
1
4
5
5
3
(i)
2094
25
cm
(ii)
2046
25
cm
(iii)
2044
25
cm
(iv)
2069
25
cm
(v)
409
5
cm
Question
3
3.
Ages of 10 students are given below. Find the mean.
Age (in years)
10
12
13
14
15
No. of students
2
2
2
2
2
(i)
64
5
years
(ii)
74
5
years
(iii)
66
5
years
(iv)
13
years
(v)
69
5
years
Question
4
4.
Scores of 15 students are given below. Find the mean.
Score
73
74
77
78
79
82
87
88
No. of students
2
2
1
1
2
2
2
3
(i)
403
5
(ii)
408
5
(iii)
404
5
(iv)
413
5
(v)
81
Question
5
5.
Rainfall of 30 days are given below. Find the mean.
Rainfall (in mm)
6
7
8
10
11
12
15
No. of days
2
3
5
4
4
4
8
(i)
67
6
mm
(ii)
77
6
mm
(iii)
11
mm
(iv)
65
6
mm
(v)
71
6
mm
Question
6
6.
Temperatures of 10 days are given below. Find the mean.
Temperature (in degree C)
26
29
32
33
34
No. of days
1
1
2
2
4
(i)
161
5
°C
(ii)
341
10
°C
(iii)
323
10
°C
(iv)
331
10
°C
(v)
321
10
°C
Question
7
7.
Weights of 25 students are given below. Find the mean.
Weight (in kg)
42
43
48
50
51
52
53
54
56
58
59
No. of students
2
1
6
2
3
2
1
2
3
2
1
(i)
1276
25
kg
(ii)
1301
25
kg
(iii)
1277
25
kg
(iv)
1278
25
kg
(v)
1326
25
kg
Question
8
8.
Wages of 25 labourers are given below. Find the mean.
Wage (in rupees)
328
342
383
410
468
469
477
485
486
No. of labourers
3
1
1
3
3
2
1
6
5
(i)
₹
444.00
(ii)
₹
443.92
(iii)
₹
445.92
(iv)
₹
444.92
(v)
₹
443.96
Question
9
9.
The following table shows the weights of
46
persons in a group.
Find the
mean weight.
Weight (in kg)
50 - 57
58 - 65
66 - 73
74 - 81
82 - 89
No. of persons
5
6
9
10
16
(i)
3405
46
kg
(ii)
3451
46
kg
(iii)
3497
46
kg
(iv)
3407
46
kg
(v)
1703
23
kg
Question
10
10.
The following table shows the weights of
115
persons in a group.
Find the
mean weight.
Weight (in kg)
30 - 39
39 - 48
48 - 57
57 - 66
66 - 75
75 - 84
84 - 93
93 - 102
No. of persons
12
12
15
11
16
19
12
18
(i)
15941
230
kg
(ii)
15713
230
kg
(iii)
15711
230
kg
(iv)
7856
115
kg
(v)
16171
230
kg
Question
11
11.
The daily wages of
130
workers in a factory are given below.
Find the
mean wage.
Wage (in rupees)
30 - 35
36 - 41
42 - 47
48 - 53
54 - 59
60 - 65
66 - 71
No. of workers
13
20
27
17
14
21
18
(i)
₹
50.70
(ii)
₹
50.69
(iii)
₹
50.68
(iv)
₹
51.68
(v)
₹
52.68
Question
12
12.
The daily wages of
145
workers in a factory are given below.
Find the
mean wage.
Wage (in rupees)
20 - 29
29 - 38
38 - 47
47 - 56
56 - 65
65 - 74
74 - 83
83 - 92
No. of workers
24
30
15
5
26
24
11
10
(i)
₹
52.00
(ii)
₹
52.50
(iii)
₹
53.50
(iv)
₹
51.50
Question
13
13.
A frequency distribution table is given below.
Find the
mean .
Class-Interval
2 - 11
12 - 21
22 - 31
32 - 41
42 - 51
52 - 61
62 - 71
72 - 81
Frequency
45
44
44
24
41
33
25
47
(i)
24785
606
(ii)
4030
101
(iii)
24181
606
(iv)
25391
606
(v)
24179
606
Question
14
14.
A frequency distribution table is given below.
Find the
mean .
Class-Interval
7 - 14
14 - 21
21 - 28
28 - 35
35 - 42
Frequency
8
25
19
27
19
(i)
367
14
(ii)
381
14
(iii)
369
14
(iv)
184
7
(v)
395
14
Question
15
15.
The following frequency distribution table gives
the monthly consumption of electricity of
60
consumers in a locality.
Find the
mean units.
Monthly consumption (in units)
53 - 73
73 - 93
93 - 113
113 - 133
133 - 153
No. of consumers
6
17
15
16
6
(i)
311
3
units
(ii)
314
3
units
(iii)
308
3
units
(iv)
103
units
(v)
310
3
units
Question
16
16.
The histogram given below represents the marks obtained by some candidates in an examination.
Using data in the diagram, calculate the
mean
marks.
(i)
50.25
(ii)
48.25
(iii)
52.25
(iv)
51.25
(v)
49.25
Assignment Key
1) (iii)
2) (iii)
3) (i)
4) (i)
5) (iv)
6) (v)
7) (i)
8) (ii)
9) (i)
10) (iii)
11) (iii)
12) (iv)
13) (v)
14) (i)
15) (iii)
16) (i)