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)
125
131
140
142
154
155
160
165
168
171
172
No. of students
4
1
4
4
3
2
3
3
1
2
3
(i)
2267
15
cm
(ii)
2266
15
cm
(iii)
2296
15
cm
(iv)
2281
15
cm
(v)
756
5
cm
Question
2
2.
Heights of 15 plants are given below. Find the mean.
Height (in cm)
52
53
73
96
97
98
No. of plants
2
1
2
2
4
4
(i)
85
cm
(ii)
86
cm
(iii)
84
cm
(iv)
87
cm
(v)
83
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
7
4
1
5
1
2
(i)
55
4
years
(ii)
49
4
years
(iii)
51
4
years
(iv)
47
4
years
(v)
12
years
Question
4
4.
Scores of 30 students are given below. Find the mean.
Score
70
73
74
76
77
79
82
84
87
No. of students
2
2
4
4
1
5
7
3
2
(i)
398
5
(ii)
394
5
(iii)
403
5
(iv)
79
(v)
393
5
Question
5
5.
Rainfall of 25 days are given below. Find the mean.
Rainfall (in mm)
5
6
7
8
10
11
12
No. of days
4
3
4
2
5
2
5
(i)
216
25
mm
(ii)
214
25
mm
(iii)
264
25
mm
(iv)
239
25
mm
(v)
43
5
mm
Question
6
6.
Temperatures of 25 days are given below. Find the mean.
Temperature (in degree C)
28
29
30
32
33
35
No. of days
5
7
2
3
3
5
(i)
773
25
°C
(ii)
798
25
°C
(iii)
31
°C
(iv)
774
25
°C
(v)
823
25
°C
Question
7
7.
Weights of 25 students are given below. Find the mean.
Weight (in kg)
41
44
45
47
51
52
57
No. of students
4
3
1
2
3
4
8
(i)
1302
25
kg
(ii)
1253
25
kg
(iii)
1252
25
kg
(iv)
1254
25
kg
(v)
1277
25
kg
Question
8
8.
Wages of 15 labourers are given below. Find the mean.
Wage (in rupees)
345
347
350
358
365
383
391
496
No. of labourers
2
1
2
2
3
2
1
2
(i)
₹
380.00
(ii)
₹
380.80
(iii)
₹
381.80
(iv)
₹
379.80
(v)
₹
380.20
Question
9
9.
The following table shows the weights of
57
persons in a group.
Find the
mean weight.
Weight (in kg)
50 - 58
59 - 67
68 - 76
77 - 85
86 - 94
95 - 103
No. of persons
5
8
10
7
11
16
(i)
1547
19
kg
(ii)
1546
19
kg
(iii)
1545
19
kg
(iv)
1564
19
kg
(v)
1583
19
kg
Question
10
10.
The following table shows the weights of
107
persons in a group.
Find the
mean weight.
Weight (in kg)
20 - 29
29 - 38
38 - 47
47 - 56
56 - 65
65 - 74
74 - 83
83 - 92
No. of persons
7
11
17
9
19
9
18
17
(i)
13231
214
kg
(ii)
6402
107
kg
(iii)
13017
214
kg
(iv)
12803
214
kg
(v)
12805
214
kg
Question
11
11.
The daily wages of
88
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
No. of workers
24
19
13
7
13
12
(i)
₹
45.64
(ii)
₹
44.82
(iii)
₹
44.64
(iv)
₹
46.64
(v)
₹
44.73
Question
12
12.
The daily wages of
94
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
19
20
12
6
9
28
(i)
₹
49.19
(ii)
₹
48.23
(iii)
₹
48.19
(iv)
₹
48.21
(v)
₹
50.19
Question
13
13.
A frequency distribution table is given below.
Find the
mean .
Class-Interval
19 - 28
29 - 38
39 - 48
49 - 58
59 - 68
69 - 78
79 - 88
89 - 98
Frequency
42
34
1
36
48
47
49
46
(i)
38587
606
(ii)
39193
606
(iii)
18991
303
(iv)
12661
202
(v)
37981
606
Question
14
14.
A frequency distribution table is given below.
Find the
mean .
Class-Interval
16 - 24
24 - 32
32 - 40
40 - 48
48 - 56
56 - 64
64 - 72
Frequency
1
26
18
34
40
30
18
(i)
8330
167
(ii)
7998
167
(iii)
8163
167
(iv)
7997
167
(v)
7996
167
Question
15
15.
The following frequency distribution table gives
the monthly consumption of electricity of
83
consumers in a locality.
Find the
mean units.
Monthly consumption (in units)
74 - 84
84 - 94
94 - 104
104 - 114
114 - 124
124 - 134
No. of consumers
11
7
18
25
9
13
(i)
8830
83
units
(ii)
8747
83
units
(iii)
8913
83
units
(iv)
8748
83
units
(v)
8749
83
units
Question
16
16.
The following frequency distribution table gives
the monthly consumption of electricity of
50
consumers in a locality.
Find the
median units.
Monthly consumption (in units)
79 - 99
99 - 119
119 - 139
139 - 159
159 - 179
No. of consumers
10
7
7
15
11
(i)
421
3
units
(ii)
141
units
(iii)
427
3
units
(iv)
424
3
units
(v)
422
3
units
Question
17
17.
If the mean of the following frequency distribution is
6
3
8
,
find the value of 'x'.
Value
Frequency
3
3
4
5
5
2
6
3
7
x
8
4
9
3
10
3
(i)
-2
(ii)
4
(iii)
2
(iv)
1
(v)
0
Question
18
18.
The heights of 40 pupils in a school are given below. Calculate the mean height correct to 2 decimal places.
Height (in cm)
less than 131
less than 137
less than 143
less than 149
less than 155
less than 161
less than 167
No. of pupils
12
19
22
25
30
36
40
(i)
115.40 cm
(ii)
142.40 cm
(iii)
157.40 cm
(iv)
135.40 cm
(v)
158.40 cm
Question
19
19.
The daily wage of 31 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
No. of workers
7
12
17
22
31
(i)
₹152.58
(ii)
₹157.58
(iii)
₹168.58
(iv)
₹134.58
Question
20
20.
The marks obtained by 57 students of a class in an examination is given below. Calculate the mean mark correct to 2 decimal places.
Marks
less than 20
less than 25
less than 30
less than 35
less than 40
less than 45
less than 50
No. of students
10
18
23
33
43
48
57
(i)
37.15
(ii)
29.15
(iii)
35.15
(iv)
27.15
(v)
32.15
Question
21
21.
The production yield in kg per hectare of wheat of 34 farms of a village is given below. Calculate the mean yield correct to 2 decimal places.
Production yield (in kg/ha)
less than 80
less than 90
less than 100
less than 110
less than 120
less than 130
Number of farms
6
12
17
23
28
34
(i)
99.71
(ii)
96.71
(iii)
102.71
(iv)
104.71
(v)
94.71
Assignment Key
1) (ii)
2) (i)
3) (iv)
4) (v)
5) (ii)
6) (i)
7) (iii)
8) (iv)
9) (iii)
10) (iv)
11) (iii)
12) (iii)
13) (v)
14) (v)
15) (ii)
16) (i)
17) (iv)
18) (ii)
19) (i)
20) (v)
21) (i)
