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
140
157
168
169
172
No. of students
1
1
4
3
1
5
(i)
2434
15
cm
(ii)
2432
15
cm
(iii)
811
5
cm
(iv)
2447
15
cm
(v)
2462
15
cm
Question
2
2.
Heights of 15 plants are given below. Find the mean.
Height (in cm)
63
67
70
77
85
100
No. of plants
4
2
2
1
3
3
(i)
388
5
cm
(ii)
387
5
cm
(iii)
396
5
cm
(iv)
391
5
cm
(v)
386
5
cm
Question
3
3.
Ages of 10 students are given below. Find the mean.
Age (in years)
10
11
12
13
14
15
No. of students
1
2
2
2
1
2
(i)
63
5
years
(ii)
73
5
years
(iii)
13
years
(iv)
64
5
years
(v)
68
5
years
Question
4
4.
Scores of 25 students are given below. Find the mean.
Score
71
74
80
85
87
88
89
No. of students
2
5
4
4
3
4
3
(i)
2052
25
(ii)
2054
25
(iii)
2053
25
(iv)
2102
25
(v)
2077
25
Question
5
5.
Rainfall of 25 days are given below. Find the mean.
Rainfall (in mm)
6
8
10
11
13
14
15
No. of days
5
4
3
2
4
4
3
(i)
269
25
mm
(ii)
267
25
mm
(iii)
268
25
mm
(iv)
317
25
mm
(v)
292
25
mm
Question
6
6.
Temperatures of 30 days are given below. Find the mean.
Temperature (in degree C)
25
26
27
28
29
30
32
33
34
35
No. of days
5
1
3
4
2
2
5
3
2
3
(i)
154
5
°C
(ii)
159
5
°C
(iii)
151
5
°C
(iv)
149
5
°C
(v)
30
°C
Question
7
7.
Weights of 15 students are given below. Find the mean.
Weight (in kg)
40
41
48
52
57
58
59
60
No. of students
1
2
1
3
2
1
1
4
(i)
266
5
kg
(ii)
812
15
kg
(iii)
827
15
kg
(iv)
797
15
kg
(v)
799
15
kg
Question
8
8.
Wages of 20 labourers are given below. Find the mean.
Wage (in rupees)
324
364
365
372
379
445
454
456
467
470
No. of labourers
2
2
2
1
1
1
1
1
5
4
(i)
₹
421.45
(ii)
₹
423.35
(iii)
₹
421.40
(iv)
₹
421.35
(v)
₹
422.35
Question
9
9.
The following table shows the weights of
77
persons in a group.
Find the
mean weight.
Weight (in kg)
10 - 19
20 - 29
30 - 39
40 - 49
50 - 59
60 - 69
No. of persons
18
17
8
18
6
10
(i)
779
22
kg
(ii)
801
22
kg
(iii)
71
2
kg
(iv)
823
22
kg
(v)
390
11
kg
Question
10
10.
The following table shows the weights of
115
persons in a group.
Find the
mean weight.
Weight (in kg)
50 - 56
56 - 62
62 - 68
68 - 74
74 - 80
80 - 86
86 - 92
No. of persons
15
20
15
11
20
16
18
(i)
8431
115
kg
(ii)
8201
115
kg
(iii)
8316
115
kg
(iv)
8202
115
kg
(v)
8203
115
kg
Question
11
11.
The daily wages of
180
workers in a factory are given below.
Find the
mean wage.
Wage (in rupees)
30 - 38
39 - 47
48 - 56
57 - 65
66 - 74
75 - 83
84 - 92
93 - 101
No. of workers
22
22
24
24
19
28
11
30
(i)
₹
65.70
(ii)
₹
67.70
(iii)
₹
65.90
(iv)
₹
65.80
(v)
₹
66.70
Question
12
12.
The daily wages of
161
workers in a factory are given below.
Find the
mean wage.
Wage (in rupees)
30 - 39
39 - 48
48 - 57
57 - 66
66 - 75
75 - 84
84 - 93
93 - 102
No. of workers
10
11
22
15
28
15
30
30
(i)
₹
72.34
(ii)
₹
72.35
(iii)
₹
74.34
(iv)
₹
73.34
Question
13
13.
A frequency distribution table is given below.
Find the
mean .
Class-Interval
6 - 16
17 - 27
28 - 38
39 - 49
50 - 60
61 - 71
Frequency
49
21
26
30
50
3
(i)
6129
179
(ii)
6306
179
(iii)
6128
179
(iv)
6485
179
(v)
6127
179
Question
14
14.
A frequency distribution table is given below.
Find the
mean .
Class-Interval
20 - 26
26 - 32
32 - 38
38 - 44
44 - 50
50 - 56
56 - 62
Frequency
3
44
50
40
44
37
2
(i)
2221
55
(ii)
4661
110
(iii)
4551
110
(iv)
4443
110
(v)
4441
110
Question
15
15.
The following frequency distribution table gives
the monthly consumption of electricity of
62
consumers in a locality.
Find the
mean units.
Monthly consumption (in units)
43 - 53
53 - 63
63 - 73
73 - 83
83 - 93
No. of consumers
5
12
20
7
18
(i)
2215
31
units
(ii)
2213
31
units
(iii)
2244
31
units
(iv)
2275
31
units
(v)
2214
31
units
Question
16
16.
The following frequency distribution table gives
the monthly consumption of electricity of
128
consumers in a locality.
Find the
median units.
Monthly consumption (in units)
42 - 52
52 - 62
62 - 72
72 - 82
82 - 92
92 - 102
102 - 112
No. of consumers
21
14
20
24
19
17
13
(i)
311
4
units
(ii)
76
units
(iii)
307
4
units
(iv)
303
4
units
(v)
305
4
units
Question
17
17.
If the mean of the following frequency distribution is
7
11
14
,
find the value of 'x'.
Value
Frequency
5
3
6
7
7
3
8
3
9
6
10
x
11
2
(i)
4
(ii)
2
(iii)
3
(iv)
7
(v)
5
Question
18
18.
The heights of 44 pupils in a school are given below. Calculate the mean height correct to 2 decimal places.
Height (in cm)
less than 125
less than 130
less than 135
less than 140
less than 145
less than 150
No. of pupils
9
15
22
28
37
44
(i)
134.89 cm
(ii)
126.89 cm
(iii)
139.89 cm
(iv)
122.89 cm
(v)
147.89 cm
Question
19
19.
The daily wage of 34 workers of a factory is given below. Calculate the mean wage correct to 2 decimal places.
Daily income (in Rs)
less than 220
less than 240
less than 260
less than 280
less than 300
No. of workers
6
15
21
28
34
(i)
₹264.82
(ii)
₹231.82
(iii)
₹276.82
(iv)
₹248.82
(v)
₹245.82
Question
20
20.
The marks obtained by 51 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
No. of students
8
15
24
33
41
51
(i)
35.64
(ii)
30.64
(iii)
25.64
(iv)
33.64
(v)
27.64
Question
21
21.
The production yield in kg per hectare of wheat of 54 farms of a village is given below. Calculate the mean yield correct to 2 decimal places.
Production yield (in kg/ha)
less than 67
less than 74
less than 81
less than 88
less than 95
less than 102
less than 109
Number of farms
9
18
23
31
38
45
54
(i)
89.24
(ii)
84.24
(iii)
87.24
(iv)
79.24
(v)
81.24
Assignment Key
1) (ii)
2) (v)
3) (i)
4) (i)
5) (ii)
6) (iv)
7) (iv)
8) (iv)
9) (i)
10) (ii)
11) (i)
12) (i)
13) (v)
14) (v)
15) (ii)
16) (iv)
17) (i)
18) (i)
19) (iv)
20) (ii)
21) (ii)
