EduSahara™ Assignment
Name : Mean of Grouped Data
Chapter : Statistics
Grade : CBSE Grade X
License : Non Commercial Use
Question
1
1.
Heights of 30 students are given below. Find the mean.
Height (in cm)
128
131
137
138
139
145
166
173
174
No. of students
4
1
5
4
2
3
5
2
4
(i)
905
6
cm
(ii)
893
6
cm
(iii)
899
6
cm
(iv)
149
cm
(v)
895
6
cm
Question
2
2.
Heights of 10 plants are given below. Find the mean.
Height (in cm)
51
63
71
86
90
95
No. of plants
1
1
2
3
2
1
(i)
79
cm
(ii)
809
10
cm
(iii)
799
10
cm
(iv)
791
10
cm
(v)
789
10
cm
Question
3
3.
Ages of 10 students are given below. Find the mean.
Age (in years)
10
11
12
13
14
No. of students
1
2
2
4
1
(i)
63
5
years
(ii)
66
5
years
(iii)
62
5
years
(iv)
71
5
years
(v)
61
5
years
Question
4
4.
Scores of 10 students are given below. Find the mean.
Score
71
72
73
81
87
No. of students
2
2
2
3
1
(i)
391
5
(ii)
383
5
(iii)
386
5
(iv)
381
5
(v)
382
5
Question
5
5.
Rainfall of 10 days are given below. Find the mean.
Rainfall (in mm)
5
6
8
9
12
13
14
15
No. of days
2
1
1
1
1
1
2
1
(i)
121
10
mm
(ii)
103
10
mm
(iii)
101
10
mm
(iv)
51
5
mm
(v)
111
10
mm
Question
6
6.
Temperatures of 25 days are given below. Find the mean.
Temperature (in degree C)
25
27
28
29
30
31
33
34
35
No. of days
4
1
3
2
2
3
2
5
3
(i)
813
25
°C
(ii)
763
25
°C
(iii)
153
5
°C
(iv)
764
25
°C
(v)
788
25
°C
Question
7
7.
Weights of 30 students are given below. Find the mean.
Weight (in kg)
44
46
48
53
55
56
58
59
60
No. of students
4
3
1
2
1
4
6
2
7
(i)
109
2
kg
(ii)
1693
30
kg
(iii)
1663
30
kg
(iv)
817
15
kg
(v)
1633
30
kg
Question
8
8.
Wages of 20 labourers are given below. Find the mean.
Wage (in rupees)
311
342
345
370
408
410
479
486
494
No. of labourers
1
3
3
3
4
1
1
1
3
(i)
₹
398.55
(ii)
₹
398.65
(iii)
₹
398.60
(iv)
₹
399.55
(v)
₹
400.55
Question
9
9.
The following table shows the weights of
97
persons in a group.
Find the
mean weight.
Weight (in kg)
40 - 47
48 - 55
56 - 63
64 - 71
72 - 79
80 - 87
88 - 95
No. of persons
12
19
13
15
19
7
12
(i)
12809
194
kg
(ii)
6404
97
kg
(iii)
13001
194
kg
(iv)
12807
194
kg
(v)
13195
194
kg
Question
10
10.
The following table shows the weights of
58
persons in a group.
Find the
mean weight.
Weight (in kg)
20 - 28
28 - 36
36 - 44
44 - 52
52 - 60
No. of persons
10
8
18
15
7
(i)
1222
29
kg
(ii)
1166
29
kg
(iii)
1193
29
kg
(iv)
1165
29
kg
(v)
1164
29
kg
Question
11
11.
The daily wages of
141
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
29
19
27
6
30
30
(i)
₹
61.10
(ii)
₹
60.11
(iii)
₹
60.10
(iv)
₹
62.10
Question
12
12.
The daily wages of
95
workers in a factory are given below.
Find the
mean wage.
Wage (in rupees)
20 - 28
28 - 36
36 - 44
44 - 52
52 - 60
No. of workers
27
5
14
24
25
(i)
₹
41.26
(ii)
₹
43.26
(iii)
₹
42.26
(iv)
₹
41.32
(v)
₹
41.37
Question
13
13.
A frequency distribution table is given below.
Find the
mean .
Class-Interval
15 - 25
26 - 36
37 - 47
48 - 58
59 - 69
70 - 80
Frequency
20
18
6
26
8
7
(i)
742
17
(ii)
725
17
(iii)
759
17
(iv)
726
17
(v)
727
17
Question
14
14.
A frequency distribution table is given below.
Find the
mean .
Class-Interval
14 - 23
23 - 32
32 - 41
41 - 50
50 - 59
59 - 68
68 - 77
Frequency
10
46
7
47
15
7
10
(i)
5831
142
(ii)
6115
142
(iii)
5973
142
(iv)
5833
142
(v)
2916
71
Question
15
15.
The following frequency distribution table gives
the monthly consumption of electricity of
77
consumers in a locality.
Find the
mean units.
Monthly consumption (in units)
69 - 89
89 - 109
109 - 129
129 - 149
149 - 169
169 - 189
No. of consumers
16
7
5
9
25
15
(i)
10540
77
units
(ii)
10463
77
units
(iii)
10464
77
units
(iv)
10617
77
units
(v)
1495
11
units
Question
16
16.
The following frequency distribution table gives
the monthly consumption of electricity of
54
consumers in a locality.
Find the
median units.
Monthly consumption (in units)
46 - 66
66 - 86
86 - 106
106 - 126
126 - 146
No. of consumers
13
7
19
6
9
(i)
1793
19
units
(ii)
1776
19
units
(iii)
1774
19
units
(iv)
1812
19
units
(v)
1775
19
units
Question
17
17.
If the mean of the following frequency distribution is
7
1
7
,
find the value of 'x'.
Value
Frequency
1
2
2
4
3
x
5
1
6
1
7
1
8
2
9
1
12
2
13
3
14
2
(i)
0
(ii)
3
(iii)
4
(iv)
2
(v)
1
Question
18
18.
The heights of 43 pupils in a school are given below. Calculate the mean height correct to 2 decimal places.
Height (in cm)
less than 136
less than 146
less than 156
less than 166
less than 176
No. of pupils
11
20
29
37
43
(i)
134.44 cm
(ii)
156.44 cm
(iii)
160.44 cm
(iv)
148.44 cm
(v)
131.44 cm
Question
19
19.
The daily wage of 48 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
10
18
23
33
39
48
(i)
₹141.75
(ii)
₹165.75
(iii)
₹158.75
(iv)
₹133.75
(v)
₹184.75
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 25
less than 35
less than 45
less than 55
less than 65
No. of students
9
14
20
29
35
(i)
42.43
(ii)
44.43
(iii)
39.43
(iv)
36.43
(v)
34.43
Question
21
21.
The production yield in kg per hectare of wheat of 46 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
less than 100
Number of farms
7
13
21
31
39
46
(i)
80.43
(ii)
88.43
(iii)
85.43
(iv)
90.43
(v)
82.43
Assignment Key
1) (ii)
2) (v)
3) (v)
4) (iv)
5) (iii)
6) (ii)
7) (v)
8) (i)
9) (iv)
10) (v)
11) (iii)
12) (i)
13) (ii)
14) (i)
15) (ii)
16) (iii)
17) (iv)
18) (iv)
19) (iii)
20) (iii)
21) (iii)
