EduSahara™ Assignment
Name : Mean of Grouped Data
Chapter : Statistics
Grade : CBSE Grade X
License : Non Commercial Use
Question
1
1.
Heights of 15 students are given below. Find the mean.
Height (in cm)
129
139
145
146
152
159
169
174
No. of students
1
3
2
1
5
1
1
1
(i)
748
5
cm
(ii)
749
5
cm
(iii)
753
5
cm
(iv)
758
5
cm
(v)
150
cm
Question
2
2.
Heights of 20 plants are given below. Find the mean.
Height (in cm)
50
52
60
68
88
92
99
No. of plants
3
5
2
4
1
4
1
(i)
1377
20
cm
(ii)
1357
20
cm
(iii)
679
10
cm
(iv)
1397
20
cm
(v)
1359
20
cm
Question
3
3.
Ages of 10 students are given below. Find the mean.
Age (in years)
10
11
13
14
15
No. of students
1
1
4
2
2
(i)
133
10
years
(ii)
141
10
years
(iii)
151
10
years
(iv)
131
10
years
(v)
66
5
years
Question
4
4.
Scores of 20 students are given below. Find the mean.
Score
70
72
73
75
78
79
80
81
84
86
90
No. of students
1
1
1
2
2
5
2
1
1
2
2
(i)
1613
20
(ii)
319
4
(iii)
1593
20
(iv)
1633
20
(v)
797
10
Question
5
5.
Rainfall of 30 days are given below. Find the mean.
Rainfall (in mm)
5
6
7
10
11
12
13
15
No. of days
4
2
5
1
6
3
7
2
(i)
10
mm
(ii)
11
mm
(iii)
9
mm
(iv)
8
mm
(v)
12
mm
Question
6
6.
Temperatures of 20 days are given below. Find the mean.
Temperature (in degree C)
25
26
27
28
30
31
32
33
34
35
No. of days
1
1
2
2
2
3
3
2
3
1
(i)
633
20
°C
(ii)
307
10
°C
(iii)
613
20
°C
(iv)
653
20
°C
(v)
123
4
°C
Question
7
7.
Weights of 25 students are given below. Find the mean.
Weight (in kg)
43
44
45
50
51
52
55
56
59
No. of students
4
2
2
3
2
3
5
1
3
(i)
1316
25
kg
(ii)
1268
25
kg
(iii)
1291
25
kg
(iv)
1267
25
kg
(v)
1266
25
kg
Question
8
8.
Wages of 25 labourers are given below. Find the mean.
Wage (in rupees)
303
368
372
389
439
444
473
No. of labourers
2
3
5
4
5
3
3
(i)
₹
402.88
(ii)
₹
403.88
(iii)
₹
404.88
(iv)
₹
402.92
(v)
₹
402.96
Question
9
9.
The following table shows the weights of
71
persons in a group.
Find the
mean weight.
Weight (in kg)
30 - 35
36 - 41
42 - 47
48 - 53
54 - 59
60 - 65
No. of persons
17
11
10
18
5
10
(i)
6617
142
kg
(ii)
6475
142
kg
(iii)
6477
142
kg
(iv)
6759
142
kg
(v)
3238
71
kg
Question
10
10.
The following table shows the weights of
87
persons in a group.
Find the
mean weight.
Weight (in kg)
30 - 35
35 - 40
40 - 45
45 - 50
50 - 55
55 - 60
60 - 65
65 - 70
No. of persons
5
8
7
19
14
14
10
10
(i)
9007
174
kg
(ii)
9005
174
kg
(iii)
1501
29
kg
(iv)
9353
174
kg
(v)
9179
174
kg
Question
11
11.
The daily wages of
112
workers in a factory are given below.
Find the
mean wage.
Wage (in rupees)
30 - 36
37 - 43
44 - 50
51 - 57
58 - 64
65 - 71
No. of workers
18
20
27
14
21
12
(i)
₹
49.50
(ii)
₹
49.75
(iii)
₹
49.25
(iv)
₹
51.25
(v)
₹
50.25
Question
12
12.
The daily wages of
104
workers in a factory are given below.
Find the
mean wage.
Wage (in rupees)
30 - 37
37 - 44
44 - 51
51 - 58
58 - 65
65 - 72
No. of workers
28
24
8
6
9
29
(i)
₹
49.60
(ii)
₹
49.61
(iii)
₹
51.59
(iv)
₹
49.59
(v)
₹
50.59
Question
13
13.
A frequency distribution table is given below.
Find the
mean .
Class-Interval
8 - 18
19 - 29
30 - 40
41 - 51
52 - 62
Frequency
20
8
2
31
6
(i)
2357
67
(ii)
2290
67
(iii)
2424
67
(iv)
2292
67
(v)
2291
67
Question
14
14.
A frequency distribution table is given below.
Find the
mean .
Class-Interval
5 - 13
13 - 21
21 - 29
29 - 37
37 - 45
45 - 53
Frequency
33
7
46
31
6
8
(i)
3228
131
(ii)
3358
131
(iii)
3229
131
(iv)
3227
131
(v)
3489
131
Question
15
15.
The following frequency distribution table gives
the monthly consumption of electricity of
119
consumers in a locality.
Find the
mean units.
Monthly consumption (in units)
45 - 65
65 - 85
85 - 105
105 - 125
125 - 145
145 - 165
165 - 185
No. of consumers
25
21
9
21
18
19
6
(i)
12764
119
units
(ii)
12646
119
units
(iii)
12645
119
units
(iv)
12647
119
units
(v)
12883
119
units
Question
16
16.
The following frequency distribution table gives
the monthly consumption of electricity of
83
consumers in a locality.
Find the
median units.
Monthly consumption (in units)
78 - 98
98 - 118
118 - 138
138 - 158
158 - 178
178 - 198
No. of consumers
19
15
15
9
10
15
(i)
128
units
(ii)
127
units
(iii)
126
units
(iv)
130
units
(v)
129
units
Question
17
17.
If the mean of the following frequency distribution is
8
17
39
,
find the value of 'x'.
Value
Frequency
2
3
3
2
4
5
6
3
7
3
8
2
9
4
10
2
11
x
12
6
13
3
14
3
(i)
5
(ii)
2
(iii)
3
(iv)
1
(v)
4
Question
18
18.
The heights of 58 pupils in a school are given below. Calculate the mean height correct to 2 decimal places.
Height (in cm)
less than 130
less than 137
less than 144
less than 151
less than 158
less than 165
less than 172
No. of pupils
10
15
27
32
40
51
58
(i)
143.38 cm
(ii)
159.38 cm
(iii)
147.38 cm
(iv)
163.38 cm
(v)
132.38 cm
Question
19
19.
The daily wage of 54 workers of a factory is given below. Calculate the mean wage correct to 2 decimal places.
Daily income (in Rs)
less than 210
less than 220
less than 230
less than 240
less than 250
less than 260
less than 270
No. of workers
6
14
24
33
42
49
54
(i)
₹233.89
(ii)
₹239.89
(iii)
₹205.89
(iv)
₹246.89
(v)
₹217.89
Question
20
20.
The marks obtained by 42 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
less than 65
No. of students
7
14
22
27
32
42
(i)
38.71
(ii)
32.71
(iii)
35.71
(iv)
30.71
(v)
40.71
Question
21
21.
The production yield in kg per hectare of wheat of 55 farms of a village is given below. Calculate the mean yield correct to 2 decimal places.
Production yield (in kg/ha)
less than 70
less than 80
less than 90
less than 100
less than 110
less than 120
less than 130
Number of farms
10
18
26
31
38
45
55
(i)
89.45
(ii)
91.45
(iii)
94.45
(iv)
99.45
(v)
97.45
Assignment Key
1) (i)
2) (ii)
3) (iv)
4) (iii)
5) (i)
6) (iii)
7) (v)
8) (i)
9) (ii)
10) (ii)
11) (iii)
12) (iv)
13) (ii)
14) (iv)
15) (iii)
16) (i)
17) (iii)
18) (iii)
19) (i)
20) (iii)
21) (iii)
