EduSahara™ Assignment
Name : Mean of Grouped Data
Chapter : Statistics
Grade : CBSE Grade X
License : Non Commercial Use
Question
1
1.
Heights of 20 students are given below. Find the mean.
Height (in cm)
131
151
152
155
157
159
166
No. of students
4
1
4
2
4
3
2
(i)
152
cm
(ii)
303
2
cm
(iii)
307
2
cm
(iv)
305
2
cm
Question
2
2.
Heights of 20 plants are given below. Find the mean.
Height (in cm)
52
59
63
74
75
80
89
95
99
No. of plants
2
2
2
1
3
1
2
2
5
(i)
159
2
cm
(ii)
163
2
cm
(iii)
80
cm
(iv)
161
2
cm
Question
3
3.
Ages of 30 students are given below. Find the mean.
Age (in years)
10
11
12
13
14
15
No. of students
10
4
3
6
4
3
(i)
12
years
(ii)
419
30
years
(iii)
361
30
years
(iv)
359
30
years
(v)
389
30
years
Question
4
4.
Scores of 20 students are given below. Find the mean.
Score
70
71
74
77
81
83
84
89
No. of students
3
1
1
4
3
2
5
1
(i)
1583
20
(ii)
791
10
(iii)
1601
20
(iv)
1581
20
(v)
1621
20
Question
5
5.
Rainfall of 10 days are given below. Find the mean.
Rainfall (in mm)
9
10
11
12
13
15
No. of days
2
2
1
1
2
2
(i)
117
10
mm
(ii)
59
5
mm
(iii)
127
10
mm
(iv)
137
10
mm
(v)
119
10
mm
Question
6
6.
Temperatures of 20 days are given below. Find the mean.
Temperature (in degree C)
26
27
28
29
30
34
35
No. of days
1
7
2
2
1
3
4
(i)
641
20
°C
(ii)
601
20
°C
(iii)
301
10
°C
(iv)
621
20
°C
(v)
603
20
°C
Question
7
7.
Weights of 15 students are given below. Find the mean.
Weight (in kg)
46
50
52
53
58
60
No. of students
5
5
1
1
2
1
(i)
776
15
kg
(ii)
254
5
kg
(iii)
791
15
kg
(iv)
761
15
kg
(v)
763
15
kg
Question
8
8.
Wages of 25 labourers are given below. Find the mean.
Wage (in rupees)
302
364
381
398
446
460
461
471
No. of labourers
4
3
2
4
3
1
3
5
(i)
₹
408.60
(ii)
₹
407.80
(iii)
₹
407.60
(iv)
₹
409.60
(v)
₹
408.00
Question
9
9.
The following table shows the weights of
97
persons in a group.
Find the
mean weight.
Weight (in kg)
50 - 59
60 - 69
70 - 79
80 - 89
90 - 99
100 - 109
110 - 119
No. of persons
10
8
20
14
17
8
20
(i)
16933
194
kg
(ii)
17127
194
kg
(iii)
16935
194
kg
(iv)
17321
194
kg
(v)
8467
97
kg
Question
10
10.
The following table shows the weights of
117
persons in a group.
Find the
mean weight.
Weight (in kg)
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
80 - 90
90 - 100
100 - 110
No. of persons
11
12
19
9
19
18
17
12
(i)
217
3
kg
(ii)
72
kg
(iii)
221
3
kg
(iv)
215
3
kg
(v)
218
3
kg
Question
11
11.
The daily wages of
141
workers in a factory are given below.
Find the
mean wage.
Wage (in rupees)
20 - 25
26 - 31
32 - 37
38 - 43
44 - 49
50 - 55
No. of workers
26
17
21
28
19
30
(i)
₹
38.22
(ii)
₹
38.20
(iii)
₹
40.20
(iv)
₹
39.20
(v)
₹
38.21
Question
12
12.
The daily wages of
69
workers in a factory are given below.
Find the
mean wage.
Wage (in rupees)
30 - 37
37 - 44
44 - 51
51 - 58
58 - 65
No. of workers
25
16
7
12
9
(i)
₹
44.85
(ii)
₹
43.87
(iii)
₹
43.89
(iv)
₹
45.85
(v)
₹
43.85
Question
13
13.
A frequency distribution table is given below.
Find the
mean .
Class-Interval
15 - 23
24 - 32
33 - 41
42 - 50
51 - 59
Frequency
13
40
24
23
48
(i)
6249
148
(ii)
5953
148
(iii)
5955
148
(iv)
2977
74
(v)
6101
148
Question
14
14.
A frequency distribution table is given below.
Find the
mean .
Class-Interval
18 - 27
27 - 36
36 - 45
45 - 54
54 - 63
63 - 72
72 - 81
81 - 90
Frequency
28
36
15
38
11
25
42
39
(i)
1485
26
(ii)
1459
26
(iii)
1461
26
(iv)
730
13
(v)
1511
26
Question
15
15.
The following frequency distribution table gives
the monthly consumption of electricity of
123
consumers in a locality.
Find the
mean units.
Monthly consumption (in units)
42 - 52
52 - 62
62 - 72
72 - 82
82 - 92
92 - 102
102 - 112
No. of consumers
16
18
5
19
25
25
15
(i)
9781
123
units
(ii)
3261
41
units
(iii)
9782
123
units
(iv)
10027
123
units
(v)
9904
123
units
Question
16
16.
The following frequency distribution table gives
the monthly consumption of electricity of
74
consumers in a locality.
Find the
median units.
Monthly consumption (in units)
54 - 74
74 - 94
94 - 114
114 - 134
134 - 154
154 - 174
No. of consumers
5
6
14
12
25
12
(i)
132
units
(ii)
136
units
(iii)
135
units
(iv)
134
units
(v)
133
units
Question
17
17.
If the mean of the following frequency distribution is
9
1
20
,
find the value of 'x'.
Value
Frequency
5
1
6
2
7
4
8
3
9
5
10
1
13
x
14
1
15
2
(i)
1
(ii)
3
(iii)
2
(iv)
0
(v)
-2
Question
18
18.
The heights of 46 pupils in a school are given below. Calculate the mean height correct to 2 decimal places.
Height (in cm)
less than 129
less than 136
less than 143
less than 150
less than 157
less than 164
No. of pupils
5
15
27
33
36
46
(i)
118.85 cm
(ii)
142.85 cm
(iii)
129.85 cm
(iv)
168.85 cm
(v)
145.85 cm
Question
19
19.
The daily wage of 62 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
less than 320
less than 340
No. of workers
10
20
26
34
44
52
62
(i)
₹283.00
(ii)
₹270.00
(iii)
₹257.00
(iv)
₹254.00
(v)
₹282.00
Question
20
20.
The marks obtained by 43 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 20
less than 25
less than 30
less than 35
less than 40
No. of students
5
14
22
30
36
43
(i)
22.06
(ii)
28.06
(iii)
30.06
(iv)
25.06
(v)
20.06
Question
21
21.
The production yield in kg per hectare of wheat of 43 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
Number of farms
9
19
27
33
43
(i)
69.08
(ii)
77.08
(iii)
75.08
(iv)
67.08
(v)
72.08
Assignment Key
1) (ii)
2) (i)
3) (iv)
4) (iv)
5) (i)
6) (ii)
7) (iv)
8) (iii)
9) (i)
10) (iv)
11) (ii)
12) (v)
13) (ii)
14) (ii)
15) (i)
16) (iv)
17) (i)
18) (ii)
19) (ii)
20) (iv)
21) (v)
