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)
131
150
152
154
157
160
170
No. of students
1
2
1
3
4
3
1
(i)
2353
15
cm
(ii)
2323
15
cm
(iii)
2324
15
cm
(iv)
155
cm
(v)
2338
15
cm
Question
2
2.
Heights of 15 plants are given below. Find the mean.
Height (in cm)
54
60
72
75
76
95
98
No. of plants
2
6
1
1
2
2
1
(i)
212
3
cm
(ii)
71
cm
(iii)
211
3
cm
(iv)
217
3
cm
(v)
214
3
cm
Question
3
3.
Ages of 15 students are given below. Find the mean.
Age (in years)
10
11
12
14
15
No. of students
4
3
3
1
4
(i)
71
5
years
(ii)
62
5
years
(iii)
66
5
years
(iv)
61
5
years
(v)
63
5
years
Question
4
4.
Scores of 10 students are given below. Find the mean.
Score
72
77
83
84
85
86
88
No. of students
2
1
1
2
1
2
1
(i)
817
10
(ii)
409
5
(iii)
827
10
(iv)
819
10
(v)
837
10
Question
5
5.
Rainfall of 20 days are given below. Find the mean.
Rainfall (in mm)
5
6
8
11
12
15
No. of days
1
6
3
4
1
5
(i)
51
5
mm
(ii)
54
5
mm
(iii)
59
5
mm
(iv)
49
5
mm
(v)
10
mm
Question
6
6.
Temperatures of 20 days are given below. Find the mean.
Temperature (in degree C)
25
26
27
28
29
31
32
33
35
No. of days
2
2
1
2
2
1
4
4
2
(i)
156
5
°C
(ii)
152
5
°C
(iii)
161
5
°C
(iv)
151
5
°C
(v)
153
5
°C
Question
7
7.
Weights of 25 students are given below. Find the mean.
Weight (in kg)
42
44
45
48
49
50
51
52
55
56
No. of students
2
1
3
3
2
2
3
2
5
2
(i)
1299
25
kg
(ii)
1251
25
kg
(iii)
50
kg
(iv)
1249
25
kg
(v)
1274
25
kg
Question
8
8.
Wages of 10 labourers are given below. Find the mean.
Wage (in rupees)
302
375
398
443
466
472
No. of labourers
1
2
1
1
2
3
(i)
₹
424.20
(ii)
₹
426.10
(iii)
₹
425.10
(iv)
₹
424.10
(v)
₹
424.30
Question
9
9.
The following table shows the weights of
95
persons in a group.
Find the
mean weight.
Weight (in kg)
10 - 16
17 - 23
24 - 30
31 - 37
38 - 44
45 - 51
52 - 58
59 - 65
No. of persons
7
14
16
10
16
16
5
11
(i)
3526
95
kg
(ii)
3619
95
kg
(iii)
705
19
kg
(iv)
3714
95
kg
(v)
3524
95
kg
Question
10
10.
The following table shows the weights of
100
persons in a group.
Find the
mean weight.
Weight (in kg)
10 - 19
19 - 28
28 - 37
37 - 46
46 - 55
55 - 64
64 - 73
73 - 82
No. of persons
6
7
19
15
16
11
8
18
(i)
4899
100
kg
(ii)
4997
100
kg
(iii)
4897
100
kg
(iv)
5097
100
kg
(v)
2449
50
kg
Question
11
11.
The daily wages of
130
workers in a factory are given below.
Find the
mean wage.
Wage (in rupees)
20 - 30
31 - 41
42 - 52
53 - 63
64 - 74
75 - 85
86 - 96
No. of workers
23
25
22
11
8
29
12
(i)
₹
55.70
(ii)
₹
54.90
(iii)
₹
54.70
(iv)
₹
56.70
(v)
₹
54.80
Question
12
12.
The daily wages of
127
workers in a factory are given below.
Find the
mean wage.
Wage (in rupees)
20 - 28
28 - 36
36 - 44
44 - 52
52 - 60
60 - 68
68 - 76
76 - 84
No. of workers
15
15
20
22
8
12
22
13
(i)
₹
51.48
(ii)
₹
53.46
(iii)
₹
51.46
(iv)
₹
52.46
(v)
₹
51.47
Question
13
13.
A frequency distribution table is given below.
Find the
mean .
Class-Interval
4 - 11
12 - 19
20 - 27
28 - 35
36 - 43
Frequency
5
31
50
50
30
(i)
4785
166
(ii)
4619
166
(iii)
4453
166
(iv)
4455
166
(v)
2227
83
Question
14
14.
A frequency distribution table is given below.
Find the
mean .
Class-Interval
15 - 22
22 - 29
29 - 36
36 - 43
43 - 50
Frequency
11
42
45
41
41
(i)
6443
180
(ii)
1253
36
(iii)
6623
180
(iv)
6263
180
(v)
174
5
Question
15
15.
The following frequency distribution table gives
the monthly consumption of electricity of
72
consumers in a locality.
Find the
mean units.
Monthly consumption (in units)
58 - 68
68 - 78
78 - 88
88 - 98
98 - 108
108 - 118
No. of consumers
6
5
14
10
15
22
(i)
3469
36
units
(ii)
1717
18
units
(iii)
3433
36
units
(iv)
3505
36
units
(v)
1145
12
units
Question
16
16.
The following frequency distribution table gives
the monthly consumption of electricity of
73
consumers in a locality.
Find the
median units.
Monthly consumption (in units)
44 - 54
54 - 64
64 - 74
74 - 84
84 - 94
94 - 104
No. of consumers
19
6
17
5
19
7
(i)
1203
17
units
(ii)
1237
17
units
(iii)
1205
17
units
(iv)
1220
17
units
(v)
1204
17
units
Question
17
17.
If the mean of the following frequency distribution is
8
19
25
,
find the value of 'x'.
Value
Frequency
5
4
6
4
8
3
9
3
10
5
11
x
13
1
14
2
(i)
2
(ii)
0
(iii)
4
(iv)
5
(v)
3
Question
18
18.
The heights of 59 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
No. of pupils
12
17
28
38
49
59
(i)
127.36 cm
(ii)
131.36 cm
(iii)
155.36 cm
(iv)
160.36 cm
(v)
143.36 cm
Question
19
19.
The daily wage of 50 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
8
15
20
27
35
44
50
(i)
₹247.20
(ii)
₹208.20
(iii)
₹235.20
(iv)
₹220.20
(v)
₹248.20
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 25
less than 35
less than 45
less than 55
less than 65
No. of students
9
19
27
33
42
(i)
34.05
(ii)
39.05
(iii)
44.05
(iv)
42.05
(v)
36.05
Question
21
21.
The production yield in kg per hectare of wheat of 42 farms of a village is given below. Calculate the mean yield correct to 2 decimal places.
Production yield (in kg/ha)
less than 55
less than 60
less than 65
less than 70
less than 75
Number of farms
8
14
23
32
42
(i)
60.33
(ii)
63.33
(iii)
58.33
(iv)
66.33
(v)
68.33
Assignment Key
1) (ii)
2) (iii)
3) (iv)
4) (i)
5) (iv)
6) (iv)
7) (iv)
8) (iv)
9) (v)
10) (iii)
11) (iii)
12) (iii)
13) (iii)
14) (iv)
15) (iii)
16) (i)
17) (v)
18) (v)
19) (iii)
20) (ii)
21) (ii)
