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)
139
150
153
154
160
171
No. of students
3
3
3
3
3
5
(i)
3163
20
cm
(ii)
625
4
cm
(iii)
3123
20
cm
(iv)
781
5
cm
(v)
3143
20
cm
Question
2
2.
Heights of 25 plants are given below. Find the mean.
Height (in cm)
51
53
57
59
66
70
71
73
75
81
85
97
No. of plants
3
3
2
4
1
2
3
2
1
1
2
1
(i)
64
cm
(ii)
65
cm
(iii)
67
cm
(iv)
68
cm
(v)
66
cm
Question
3
3.
Ages of 25 students are given below. Find the mean.
Age (in years)
10
11
12
13
14
15
No. of students
5
1
2
6
6
5
(i)
323
25
years
(ii)
372
25
years
(iii)
347
25
years
(iv)
322
25
years
(v)
324
25
years
Question
4
4.
Scores of 20 students are given below. Find the mean.
Score
70
71
79
82
84
86
88
89
90
No. of students
1
2
2
3
2
5
3
1
1
(i)
1677
20
(ii)
1657
20
(iii)
1659
20
(iv)
1697
20
(v)
829
10
Question
5
5.
Rainfall of 10 days are given below. Find the mean.
Rainfall (in mm)
5
6
7
8
10
12
15
No. of days
1
2
2
2
1
1
1
(i)
47
5
mm
(ii)
44
5
mm
(iii)
43
5
mm
(iv)
42
5
mm
(v)
52
5
mm
Question
6
6.
Temperatures of 30 days are given below. Find the mean.
Temperature (in degree C)
25
26
27
28
29
30
31
33
34
No. of days
3
3
2
4
2
6
3
6
1
(i)
152
5
°C
(ii)
147
5
°C
(iii)
148
5
°C
(iv)
149
5
°C
(v)
157
5
°C
Question
7
7.
Weights of 25 students are given below. Find the mean.
Weight (in kg)
43
45
52
53
55
59
60
No. of students
2
3
3
4
3
4
6
(i)
56
kg
(ii)
55
kg
(iii)
54
kg
(iv)
53
kg
(v)
52
kg
Question
8
8.
Wages of 15 labourers are given below. Find the mean.
Wage (in rupees)
301
319
369
376
408
413
429
No. of labourers
1
2
2
3
1
3
3
(i)
₹
383.00
(ii)
₹
384.60
(iii)
₹
383.60
(iv)
₹
382.80
(v)
₹
382.60
Question
9
9.
The following table shows the weights of
107
persons in a group.
Find the
mean weight.
Weight (in kg)
20 - 30
31 - 41
42 - 52
53 - 63
64 - 74
75 - 85
86 - 96
97 - 107
No. of persons
11
16
18
17
9
12
9
15
(i)
6614
107
kg
(ii)
6613
107
kg
(iii)
6720
107
kg
(iv)
6615
107
kg
(v)
6827
107
kg
Question
10
10.
The following table shows the weights of
103
persons in a group.
Find the
mean weight.
Weight (in kg)
20 - 26
26 - 32
32 - 38
38 - 44
44 - 50
50 - 56
56 - 62
62 - 68
No. of persons
5
18
11
13
14
16
9
17
(i)
4699
103
kg
(ii)
4697
103
kg
(iii)
4903
103
kg
(iv)
4698
103
kg
(v)
4800
103
kg
Question
11
11.
The daily wages of
104
workers in a factory are given below.
Find the
mean wage.
Wage (in rupees)
20 - 28
29 - 37
38 - 46
47 - 55
56 - 64
65 - 73
74 - 82
83 - 91
No. of workers
6
7
12
23
6
17
18
15
(i)
₹
62.52
(ii)
₹
60.54
(iii)
₹
60.56
(iv)
₹
61.52
(v)
₹
60.52
Question
12
12.
The daily wages of
122
workers in a factory are given below.
Find the
mean wage.
Wage (in rupees)
30 - 39
39 - 48
48 - 57
57 - 66
66 - 75
75 - 84
No. of workers
29
21
28
18
7
19
(i)
₹
55.24
(ii)
₹
53.25
(iii)
₹
54.24
(iv)
₹
53.24
Question
13
13.
A frequency distribution table is given below.
Find the
mean .
Class-Interval
9 - 14
15 - 20
21 - 26
27 - 32
33 - 38
39 - 44
Frequency
11
44
25
15
23
31
(i)
8357
298
(ii)
8655
298
(iii)
8059
298
(iv)
8061
298
(v)
4030
149
Question
14
14.
A frequency distribution table is given below.
Find the
mean .
Class-Interval
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
Frequency
49
28
11
35
8
7
(i)
716
23
(ii)
761
23
(iii)
717
23
(iv)
715
23
(v)
738
23
Question
15
15.
The following frequency distribution table gives
the monthly consumption of electricity of
74
consumers in a locality.
Find the
mean units.
Monthly consumption (in units)
59 - 79
79 - 99
99 - 119
119 - 139
139 - 159
No. of consumers
9
18
25
17
5
(i)
3945
37
units
(ii)
3943
37
units
(iii)
3944
37
units
(iv)
3980
37
units
(v)
4017
37
units
Question
16
16.
The following frequency distribution table gives
the monthly consumption of electricity of
99
consumers in a locality.
Find the
median units.
Monthly consumption (in units)
69 - 89
89 - 109
109 - 129
129 - 149
149 - 169
169 - 189
No. of consumers
21
20
9
12
13
24
(i)
1169
9
units
(ii)
1151
9
units
(iii)
1160
9
units
(iv)
1153
9
units
(v)
128
units
Question
17
17.
If the mean of the following frequency distribution is
8
2
13
,
find the value of 'x'.
Value
Frequency
1
3
3
3
4
1
5
x
6
1
8
2
9
2
10
1
11
1
12
3
13
2
14
2
15
2
(i)
3
(ii)
2
(iii)
4
(iv)
6
(v)
1
Question
18
18.
The heights of 41 pupils in a school are given below. Calculate the mean height correct to 2 decimal places.
Height (in cm)
less than 127
less than 132
less than 137
less than 142
less than 147
No. of pupils
9
13
22
34
41
(i)
156.99 cm
(ii)
134.99 cm
(iii)
152.99 cm
(iv)
131.99 cm
(v)
117.99 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
8
14
21
29
39
46
(i)
₹108.87
(ii)
₹146.87
(iii)
₹154.87
(iv)
₹128.87
(v)
₹130.87
Question
20
20.
The marks obtained by 55 students of a class in an examination is given below. Calculate the mean mark correct to 2 decimal places.
Marks
less than 10
less than 15
less than 20
less than 25
less than 30
less than 35
less than 40
No. of students
10
18
25
30
37
47
55
(i)
19.32
(ii)
27.32
(iii)
17.32
(iv)
25.32
(v)
22.32
Question
21
21.
The production yield in kg per hectare of wheat of 36 farms of a village is given below. Calculate the mean yield correct to 2 decimal places.
Production yield (in kg/ha)
less than 60
less than 65
less than 70
less than 75
less than 80
Number of farms
6
13
23
28
36
(i)
64.78
(ii)
67.78
(iii)
70.78
(iv)
62.78
(v)
72.78
Assignment Key
1) (iii)
2) (v)
3) (iv)
4) (ii)
5) (iv)
6) (ii)
7) (iii)
8) (v)
9) (ii)
10) (ii)
11) (v)
12) (iv)
13) (iii)
14) (iv)
15) (ii)
16) (ii)
17) (i)
18) (ii)
19) (v)
20) (v)
21) (ii)
