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
57
persons in a group.
Find the
mean weight.
Weight (in kg)
20 - 26
27 - 33
34 - 40
41 - 47
48 - 54
No. of persons
5
15
18
10
9
(i)
710
19
kg
(ii)
729
19
kg
(iii)
748
19
kg
(iv)
711
19
kg
(v)
712
19
kg
Question
2
2.
The following table shows the weights of
60
persons in a group.
Find the
mean weight.
Weight (in kg)
50 - 55
55 - 60
60 - 65
65 - 70
70 - 75
No. of persons
8
19
10
5
18
(i)
65
kg
(ii)
62
kg
(iii)
63
kg
(iv)
64
kg
(v)
61
kg
Question
3
3.
The daily wages of
116
workers in a factory are given below.
Find the
mean wage.
Wage (in rupees)
20 - 26
27 - 33
34 - 40
41 - 47
48 - 54
55 - 61
No. of workers
10
16
26
13
30
21
(i)
₹
43.03
(ii)
₹
45.03
(iii)
₹
43.07
(iv)
₹
44.03
(v)
₹
43.10
Question
4
4.
The daily wages of
95
workers in a factory are given below.
Find the
mean wage.
Wage (in rupees)
20 - 25
25 - 30
30 - 35
35 - 40
40 - 45
45 - 50
No. of workers
9
14
30
9
22
11
(i)
₹
37.34
(ii)
₹
35.37
(iii)
₹
35.39
(iv)
₹
36.34
(v)
₹
35.34
Question
5
5.
A frequency distribution table is given below.
Find the
mean .
Class-Interval
12 - 19
20 - 27
28 - 35
36 - 43
44 - 51
52 - 59
60 - 67
68 - 75
Frequency
35
41
36
11
2
49
35
5
(i)
8471
214
(ii)
4235
107
(iii)
8469
214
(iv)
8897
214
(v)
8683
214
Question
6
6.
A frequency distribution table is given below.
Find the
mean .
Class-Interval
9 - 16
16 - 23
23 - 30
30 - 37
37 - 44
44 - 51
51 - 58
58 - 65
Frequency
16
43
42
15
34
10
32
20
(i)
1976
53
(ii)
1923
53
(iii)
1871
53
(iv)
1870
53
(v)
1872
53
Question
7
7.
The following frequency distribution table gives
the monthly consumption of electricity of
95
consumers in a locality.
Find the
mean units.
Monthly consumption (in units)
66 - 76
76 - 86
86 - 96
96 - 106
106 - 116
No. of consumers
21
11
19
19
25
(i)
1799
19
units
(ii)
1763
19
units
(iii)
1780
19
units
(iv)
1762
19
units
(v)
1761
19
units
Question
8
8.
If the sum of the following frequency distribution is
38
,
find the value of 'x'.
Class-Interval
Frequency
10 - 17
5
18 - 25
8
26 - 33
1
34 - 41
7
42 - 49
x
50 - 57
7
58 - 65
3
(i)
5
(ii)
10
(iii)
7
(iv)
6
(v)
8
Question
9
9.
If the mean of the following frequency distribution is
29
1
6
,
find the value of 'x'.
Class-Interval
Frequency
10 - 15
7
16 - 21
3
22 - 27
7
28 - 33
7
34 - 39
2
40 - 45
x
46 - 51
4
(i)
8
(ii)
5
(iii)
7
(iv)
3
(v)
6
Question
10
10.
The heights of 62 pupils in a school are given below. Calculate the mean height correct to 2 decimal places.
Height (in cm)
less than 140
less than 150
less than 160
less than 170
less than 180
less than 190
No. of pupils
9
16
28
40
52
62
(i)
167.61 cm
(ii)
161.61 cm
(iii)
187.61 cm
(iv)
153.61 cm
(v)
149.61 cm
Question
11
11.
The daily wage of 41 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
6
15
20
25
31
41
(i)
₹174.68
(ii)
₹162.68
(iii)
₹170.68
(iv)
₹147.68
(v)
₹145.68
Question
12
12.
The marks obtained by 46 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
No. of students
7
17
22
27
36
46
(i)
17.65
(ii)
20.65
(iii)
15.65
(iv)
25.65
(v)
23.65
Question
13
13.
The production yield in kg per hectare of wheat of 56 farms of a village is given below. Calculate the mean yield correct to 2 decimal places.
Production yield (in kg/ha)
less than 68
less than 76
less than 84
less than 92
less than 100
less than 108
less than 116
Number of farms
10
16
24
32
41
48
56
(i)
82.57
(ii)
90.57
(iii)
92.57
(iv)
87.57
(v)
84.57
Assignment Key
1) (i)
2) (iii)
3) (i)
4) (v)
5) (iii)
6) (iv)
7) (v)
8) (iii)
9) (v)
10) (ii)
11) (ii)
12) (ii)
13) (iv)
