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 10 students are given below. Find the mean.
Height (in cm)
128
137
139
144
157
163
No. of students
1
3
2
1
2
1
(i)
719
5
cm
(ii)
724
5
cm
(iii)
729
5
cm
(iv)
721
5
cm
(v)
144
cm
Question
2
2.
Heights of 20 plants are given below. Find the mean.
Height (in cm)
53
54
62
63
73
79
82
83
85
No. of plants
1
1
4
2
1
1
5
2
3
(i)
371
5
cm
(ii)
367
5
cm
(iii)
376
5
cm
(iv)
368
5
cm
(v)
366
5
cm
Question
3
3.
Ages of 20 students are given below. Find the mean.
Age (in years)
10
11
12
13
14
15
No. of students
3
3
3
5
3
3
(i)
253
20
years
(ii)
291
20
years
(iii)
251
20
years
(iv)
271
20
years
(v)
63
5
years
Question
4
4.
Scores of 25 students are given below. Find the mean.
Score
70
77
79
82
83
84
85
86
88
89
No. of students
2
3
3
2
1
1
3
3
2
5
(i)
2123
25
(ii)
83
(iii)
2098
25
(iv)
2074
25
(v)
2073
25
Question
5
5.
Rainfall of 10 days are given below. Find the mean.
Rainfall (in mm)
5
6
12
13
14
No. of days
3
1
1
2
3
(i)
103
10
mm
(ii)
121
10
mm
(iii)
51
5
mm
(iv)
101
10
mm
(v)
111
10
mm
Question
6
6.
Temperatures of 20 days are given below. Find the mean.
Temperature (in degree C)
25
28
29
31
32
33
34
No. of days
3
1
2
1
4
7
2
(i)
619
20
°C
(ii)
659
20
°C
(iii)
639
20
°C
(iv)
621
20
°C
(v)
31
°C
Question
7
7.
Weights of 20 students are given below. Find the mean.
Weight (in kg)
43
46
50
53
57
58
No. of students
2
5
2
2
2
7
(i)
523
10
kg
(ii)
521
10
kg
(iii)
261
5
kg
(iv)
531
10
kg
(v)
541
10
kg
Question
8
8.
Wages of 30 labourers are given below. Find the mean.
Wage (in rupees)
316
357
370
414
456
480
499
No. of labourers
6
2
7
1
5
5
4
(i)
₹
410.00
(ii)
₹
411.67
(iii)
₹
410.33
(iv)
₹
409.67
(v)
₹
410.67
Question
9
9.
The following table shows the weights of
82
persons in a group.
Find the
mean weight.
Weight (in kg)
20 - 26
27 - 33
34 - 40
41 - 47
48 - 54
No. of persons
19
12
14
19
18
(i)
3233
82
kg
(ii)
1535
41
kg
(iii)
3069
82
kg
(iv)
3071
82
kg
(v)
3151
82
kg
Question
10
10.
The following table shows the weights of
73
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
10
10
13
15
10
15
(i)
3787
73
kg
(ii)
3931
73
kg
(iii)
3785
73
kg
(iv)
3786
73
kg
(v)
3858
73
kg
Question
11
11.
The daily wages of
147
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
72 - 77
No. of workers
24
25
30
12
13
29
8
6
(i)
₹
51.15
(ii)
₹
49.15
(iii)
₹
50.15
(iv)
₹
49.16
(v)
₹
49.17
Question
12
12.
The daily wages of
124
workers in a factory are given below.
Find the
mean wage.
Wage (in rupees)
30 - 36
36 - 42
42 - 48
48 - 54
54 - 60
60 - 66
No. of workers
27
26
11
29
18
13
(i)
₹
47.16
(ii)
₹
46.23
(iii)
₹
48.16
(iv)
₹
46.16
(v)
₹
46.19
Question
13
13.
A frequency distribution table is given below.
Find the
mean .
Class-Interval
16 - 25
26 - 35
36 - 45
46 - 55
56 - 65
66 - 75
76 - 85
Frequency
36
48
3
35
32
38
12
(i)
807
17
(ii)
823
17
(iii)
808
17
(iv)
806
17
(v)
840
17
Question
14
14.
A frequency distribution table is given below.
Find the
mean .
Class-Interval
17 - 27
27 - 37
37 - 47
47 - 57
57 - 67
67 - 77
77 - 87
87 - 97
Frequency
43
45
30
12
44
26
18
20
(i)
6094
119
(ii)
6212
119
(iii)
6095
119
(iv)
6331
119
(v)
6093
119
Question
15
15.
The following frequency distribution table gives
the monthly consumption of electricity of
76
consumers in a locality.
Find the
mean units.
Monthly consumption (in units)
63 - 83
83 - 103
103 - 123
123 - 143
143 - 163
No. of consumers
14
24
23
7
8
(i)
2021
19
units
(ii)
2003
19
units
(iii)
2004
19
units
(iv)
2002
19
units
(v)
2040
19
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)
53.35
(ii)
54.35
(iii)
51.35
(iv)
50.35
(v)
52.35
Assignment Key
1) (i)
2) (v)
3) (iii)
4) (v)
5) (iv)
6) (i)
7) (ii)
8) (iv)
9) (iii)
10) (iii)
11) (ii)
12) (iv)
13) (iv)
14) (v)
15) (iv)
16) (v)