EduSahara™ Assignment
Name : Mean of Grouped Data
Chapter : Statistics
Grade : CBSE Grade X
License : Non Commercial Use
Question
1
1.
Heights of 20 students are given below. Find the mean.
Height (in cm)
127
130
133
140
150
154
163
172
173
No. of students
2
3
3
1
1
2
1
4
3
(i)
3013
20
cm
(ii)
3011
20
cm
(iii)
3051
20
cm
(iv)
753
5
cm
(v)
3031
20
cm
Question
2
2.
Heights of 15 plants are given below. Find the mean.
Height (in cm)
54
60
76
77
78
86
99
No. of plants
2
2
4
3
2
1
1
(i)
368
5
cm
(ii)
369
5
cm
(iii)
74
cm
(iv)
373
5
cm
(v)
378
5
cm
Question
3
3.
Ages of 30 students are given below. Find the mean.
Age (in years)
10
11
12
13
14
15
No. of students
3
5
4
4
11
3
(i)
64
5
years
(ii)
74
5
years
(iii)
69
5
years
(iv)
13
years
(v)
66
5
years
Question
4
4.
Scores of 30 students are given below. Find the mean.
Score
70
71
72
73
78
80
82
87
88
90
No. of students
8
3
2
3
1
2
1
4
2
4
(i)
76
(ii)
79
(iii)
77
(iv)
78
(v)
80
Question
5
5.
Rainfall of 15 days are given below. Find the mean.
Rainfall (in mm)
6
7
8
9
11
12
13
15
No. of days
4
1
1
1
2
1
2
3
(i)
56
5
mm
(ii)
52
5
mm
(iii)
61
5
mm
(iv)
53
5
mm
(v)
51
5
mm
Question
6
6.
Temperatures of 25 days are given below. Find the mean.
Temperature (in degree C)
26
27
28
29
30
31
32
33
34
35
No. of days
5
3
2
2
3
2
3
1
1
3
(i)
151
5
°C
(ii)
154
5
°C
(iii)
149
5
°C
(iv)
30
°C
(v)
159
5
°C
Question
7
7.
Weights of 20 students are given below. Find the mean.
Weight (in kg)
40
42
44
45
49
50
53
55
59
No. of students
3
2
1
1
1
3
3
3
3
(i)
1013
20
kg
(ii)
1033
20
kg
(iii)
993
20
kg
(iv)
199
4
kg
(v)
497
10
kg
Question
8
8.
Wages of 10 labourers are given below. Find the mean.
Wage (in rupees)
307
324
399
417
431
445
493
No. of labourers
1
1
2
1
1
2
2
(i)
₹
415.30
(ii)
₹
417.30
(iii)
₹
415.50
(iv)
₹
415.40
(v)
₹
416.30
Question
9
9.
The following table shows the weights of
57
persons in a group.
Find the
mean weight.
Weight (in kg)
50 - 60
61 - 71
72 - 82
83 - 93
94 - 104
105 - 115
No. of persons
12
9
5
13
6
12
(i)
1566
19
kg
(ii)
4699
57
kg
(iii)
4754
57
kg
(iv)
4697
57
kg
(v)
4811
57
kg
Question
10
10.
The following table shows the weights of
91
persons in a group.
Find the
mean weight.
Weight (in kg)
30 - 37
37 - 44
44 - 51
51 - 58
58 - 65
65 - 72
72 - 79
No. of persons
19
8
8
18
11
18
9
(i)
1405
26
kg
(ii)
1429
26
kg
(iii)
54
kg
(iv)
1403
26
kg
(v)
1455
26
kg
Question
11
11.
The daily wages of
66
workers in a factory are given below.
Find the
mean wage.
Wage (in rupees)
20 - 26
27 - 33
34 - 40
41 - 47
48 - 54
55 - 61
No. of workers
7
15
7
24
6
7
(i)
₹
39.97
(ii)
₹
40.97
(iii)
₹
41.97
(iv)
₹
40.03
(v)
₹
40.00
Question
12
12.
The daily wages of
111
workers in a factory are given below.
Find the
mean wage.
Wage (in rupees)
20 - 25
25 - 30
30 - 35
35 - 40
40 - 45
45 - 50
50 - 55
No. of workers
6
19
11
8
23
18
26
(i)
₹
40.65
(ii)
₹
42.65
(iii)
₹
40.66
(iv)
₹
41.65
Question
13
13.
A frequency distribution table is given below.
Find the
mean .
Class-Interval
1 - 8
9 - 16
17 - 24
25 - 32
33 - 40
Frequency
19
34
43
31
3
(i)
477
26
(ii)
479
26
(iii)
239
13
(iv)
503
26
(v)
529
26
Question
14
14.
A frequency distribution table is given below.
Find the
mean .
Class-Interval
12 - 17
17 - 22
22 - 27
27 - 32
32 - 37
37 - 42
42 - 47
Frequency
19
31
47
12
27
23
4
(i)
9133
326
(ii)
9459
326
(iii)
4404
163
(iv)
8809
326
(v)
8807
326
Question
15
15.
The following frequency distribution table gives
the monthly consumption of electricity of
86
consumers in a locality.
Find the
mean units.
Monthly consumption (in units)
61 - 71
71 - 81
81 - 91
91 - 101
101 - 111
No. of consumers
22
11
18
21
14
(i)
3669
43
units
(ii)
3754
43
units
(iii)
3711
43
units
(iv)
3668
43
units
(v)
3670
43
units
Question
16
16.
The following frequency distribution table gives
the monthly consumption of electricity of
67
consumers in a locality.
Find the
median units.
Monthly consumption (in units)
77 - 97
97 - 117
117 - 137
137 - 157
157 - 177
No. of consumers
10
6
13
24
14
(i)
571
4
units
(ii)
141
units
(iii)
567
4
units
(iv)
563
4
units
(v)
565
4
units
Question
17
17.
If the mean of the following frequency distribution is
7
22
25
,
find the value of 'x'.
Value
Frequency
5
6
6
4
7
x
9
4
10
4
11
2
12
2
(i)
3
(ii)
4
(iii)
5
(iv)
0
(v)
2
Question
18
18.
The heights of 35 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
6
9
17
27
31
35
(i)
153.43 cm
(ii)
135.43 cm
(iii)
177.43 cm
(iv)
160.43 cm
Question
19
19.
The daily wage of 46 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
7
12
21
28
36
46
(i)
₹146.39
(ii)
₹158.39
(iii)
₹132.39
(iv)
₹114.39
(v)
₹115.39
Question
20
20.
The marks obtained by 35 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
7
13
22
29
35
(i)
26.71
(ii)
29.71
(iii)
32.71
(iv)
24.71
(v)
34.71
Question
21
21.
The production yield in kg per hectare of wheat of 32 farms of a village is given below. Calculate the mean yield correct to 2 decimal places.
Production yield (in kg/ha)
less than 59
less than 68
less than 77
less than 86
less than 95
Number of farms
5
10
19
26
32
(i)
78.62
(ii)
68.62
(iii)
70.62
(iv)
73.62
(v)
76.62
Assignment Key
1) (ii)
2) (i)
3) (i)
4) (iv)
5) (v)
6) (iii)
7) (iii)
8) (i)
9) (iv)
10) (iv)
11) (i)
12) (i)
13) (i)
14) (v)
15) (iv)
16) (iv)
17) (i)
18) (i)
19) (iii)
20) (ii)
21) (iv)
