EduSahara™ Assignment
Name : Mean of Grouped Data
Chapter : Statistics
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
The following table shows the weights of
107
persons in a group.
Find the
mean weight.
Weight (in kg)
50 - 58
59 - 67
68 - 76
77 - 85
86 - 94
95 - 103
104 - 112
113 - 121
No. of persons
7
16
14
19
5
11
18
17
(i)
9407
107
kg
(ii)
9406
107
kg
(iii)
9619
107
kg
(iv)
9512
107
kg
(v)
9405
107
kg
Question
2
2.
The following table shows the weights of
114
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
12
14
15
15
20
12
7
19
(i)
842
19
kg
(ii)
841
19
kg
(iii)
843
19
kg
(iv)
860
19
kg
(v)
879
19
kg
Question
3
3.
The daily wages of
129
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
90 - 99
100 - 109
No. of workers
17
29
28
5
13
23
6
8
(i)
₹
64.33
(ii)
₹
62.34
(iii)
₹
62.33
(iv)
₹
63.33
Question
4
4.
The daily wages of
115
workers in a factory are given below.
Find the
mean wage.
Wage (in rupees)
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
No. of workers
19
25
26
27
18
(i)
₹
43.00
(ii)
₹
44.00
(iii)
₹
45.00
(iv)
₹
46.00
(v)
₹
47.00
Question
5
5.
A frequency distribution table is given below.
Find the
mean .
Class-Interval
7 - 17
18 - 28
29 - 39
40 - 50
51 - 61
62 - 72
73 - 83
Frequency
21
14
5
47
27
12
16
(i)
6423
142
(ii)
3212
71
(iii)
6425
142
(iv)
6565
142
(v)
6707
142
Question
6
6.
A frequency distribution table is given below.
Find the
mean .
Class-Interval
2 - 11
11 - 20
20 - 29
29 - 38
38 - 47
47 - 56
Frequency
26
29
11
32
35
17
(i)
1441
50
(ii)
721
25
(iii)
1443
50
(iv)
1541
50
(v)
1491
50
Question
7
7.
The following frequency distribution table gives
the monthly consumption of electricity of
88
consumers in a locality.
Find the
mean units.
Monthly consumption (in units)
68 - 88
88 - 108
108 - 128
128 - 148
148 - 168
168 - 188
188 - 208
No. of consumers
22
7
15
7
8
8
21
(i)
1500
11
units
(ii)
1509
11
units
(iii)
1499
11
units
(iv)
1498
11
units
(v)
1520
11
units
Question
8
8.
If the sum of the following frequency distribution is
44
,
find the value of 'x'.
Class-Interval
Frequency
20 - 25
2
26 - 31
10
32 - 37
6
38 - 43
9
44 - 49
8
50 - 55
x
(i)
9
(ii)
10
(iii)
11
(iv)
8
(v)
7
Question
9
9.
If the mean of the following frequency distribution is
33
1
2
,
find the value of 'x'.
Class-Interval
Frequency
10 - 15
9
16 - 21
3
22 - 27
1
28 - 33
4
34 - 39
x
40 - 45
2
46 - 51
10
52 - 57
3
(i)
10
(ii)
8
(iii)
7
(iv)
6
(v)
9
Question
10
10.
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 138
less than 148
less than 158
less than 168
less than 178
No. of pupils
10
20
26
34
41
(i)
125.05 cm
(ii)
166.05 cm
(iii)
151.05 cm
(iv)
159.05 cm
(v)
137.05 cm
Question
11
11.
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 120
less than 140
less than 160
less than 180
less than 200
less than 220
less than 240
No. of workers
7
15
23
29
38
47
54
(i)
₹153.11
(ii)
₹167.11
(iii)
₹178.11
(iv)
₹171.11
(v)
₹196.11
Question
12
12.
The marks obtained by 49 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
10
18
24
34
40
49
(i)
39.29
(ii)
31.29
(iii)
34.29
(iv)
29.29
(v)
37.29
Question
13
13.
The production yield in kg per hectare of wheat of 45 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
less than 104
Number of farms
8
14
22
30
36
45
(i)
77.50
(ii)
82.50
(iii)
80.50
(iv)
74.50
(v)
72.50
Assignment Key
1) (v)
2) (ii)
3) (iii)
4) (iii)
5) (i)
6) (i)
7) (iv)
8) (i)
9) (ii)
10) (iii)
11) (iv)
12) (iii)
13) (i)
