EduSahara™ Assignment
Name : Mean of Grouped Data
Chapter : Measures of Central Tendency
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
Heights of 25 students are given below. Find the mean.
Height (in cm)
130
133
137
150
154
159
164
170
173
No. of students
3
6
2
5
1
3
2
2
1
(i)
3686
25
cm
(ii)
737
5
cm
(iii)
3734
25
cm
(iv)
3684
25
cm
(v)
3709
25
cm
Question
2
2.
Heights of 15 plants are given below. Find the mean.
Height (in cm)
58
72
78
86
90
92
93
97
No. of plants
1
3
1
1
2
2
2
3
(i)
1294
15
cm
(ii)
427
5
cm
(iii)
1279
15
cm
(iv)
256
3
cm
(v)
1309
15
cm
Question
3
3.
Ages of 20 students are given below. Find the mean.
Age (in years)
10
11
12
13
14
15
No. of students
3
5
5
1
2
4
(i)
143
10
years
(ii)
133
10
years
(iii)
25
2
years
(iv)
123
10
years
(v)
62
5
years
Question
4
4.
Scores of 15 students are given below. Find the mean.
Score
72
74
75
76
78
81
87
90
No. of students
2
2
1
3
2
3
1
1
(i)
1201
15
(ii)
1172
15
(iii)
391
5
(iv)
1171
15
(v)
1186
15
Question
5
5.
Rainfall of 20 days are given below. Find the mean.
Rainfall (in mm)
6
7
8
9
11
12
13
14
15
No. of days
2
1
2
1
1
5
1
3
4
(i)
27
2
mm
(ii)
23
2
mm
(iii)
25
2
mm
(iv)
12
mm
Question
6
6.
Temperatures of 10 days are given below. Find the mean.
Temperature (in degree C)
25
27
30
32
34
No. of days
1
1
4
1
3
(i)
31
°C
(ii)
154
5
°C
(iii)
163
5
°C
(iv)
153
5
°C
(v)
158
5
°C
Question
7
7.
Weights of 10 students are given below. Find the mean.
Weight (in kg)
42
44
49
50
57
58
59
No. of students
1
2
1
1
1
1
3
(i)
541
10
kg
(ii)
523
10
kg
(iii)
531
10
kg
(iv)
261
5
kg
(v)
521
10
kg
Question
8
8.
Wages of 10 labourers are given below. Find the mean.
Wage (in rupees)
352
370
403
422
472
474
No. of labourers
1
2
2
1
1
3
(i)
₹
422.40
(ii)
₹
423.40
(iii)
₹
421.60
(iv)
₹
421.80
(v)
₹
421.40
Question
9
9.
The following table shows the weights of
100
persons in a group.
Find the
mean weight.
Weight (in kg)
30 - 39
40 - 49
50 - 59
60 - 69
70 - 79
80 - 89
90 - 99
No. of persons
5
13
16
14
19
15
18
(i)
693
10
kg
(ii)
711
10
kg
(iii)
701
10
kg
(iv)
346
5
kg
(v)
691
10
kg
Question
10
10.
The following table shows the weights of
81
persons in a group.
Find the
mean weight.
Weight (in kg)
20 - 26
26 - 32
32 - 38
38 - 44
44 - 50
50 - 56
No. of persons
20
7
10
19
10
15
(i)
340
9
kg
(ii)
1019
27
kg
(iii)
1021
27
kg
(iv)
1046
27
kg
(v)
1073
27
kg
Question
11
11.
The daily wages of
157
workers in a factory are given below.
Find the
mean wage.
Wage (in rupees)
20 - 27
28 - 35
36 - 43
44 - 51
52 - 59
60 - 67
68 - 75
No. of workers
26
28
24
9
29
15
26
(i)
₹
47.43
(ii)
₹
46.44
(iii)
₹
48.43
(iv)
₹
46.43
Question
12
12.
The daily wages of
100
workers in a factory are given below.
Find the
mean wage.
Wage (in rupees)
20 - 29
29 - 38
38 - 47
47 - 56
56 - 65
65 - 74
74 - 83
No. of workers
25
21
7
15
6
14
12
(i)
₹
47.64
(ii)
₹
46.72
(iii)
₹
46.64
(iv)
₹
46.68
(v)
₹
48.64
Question
13
13.
A frequency distribution table is given below.
Find the
mean .
Class-Interval
7 - 15
16 - 24
25 - 33
34 - 42
43 - 51
Frequency
26
43
26
22
44
(i)
4965
161
(ii)
4806
161
(iii)
4805
161
(iv)
4804
161
(v)
5126
161
Question
14
14.
A frequency distribution table is given below.
Find the
mean .
Class-Interval
2 - 12
12 - 22
22 - 32
32 - 42
42 - 52
Frequency
38
11
42
30
4
(i)
602
25
(ii)
577
25
(iii)
579
25
(iv)
578
25
(v)
627
25
Question
15
15.
The following frequency distribution table gives
the monthly consumption of electricity of
75
consumers in a locality.
Find the
mean units.
Monthly consumption (in units)
59 - 79
79 - 99
99 - 119
119 - 139
139 - 159
159 - 179
179 - 199
No. of consumers
14
6
7
20
14
5
9
(i)
380
3
units
(ii)
382
3
units
(iii)
379
3
units
(iv)
127
units
(v)
385
3
units
Question
16
16.
The histogram given below represents the marks obtained by some candidates in an examination.
Using data in the diagram, calculate the
mean
marks.
(i)
57.09
(ii)
55.09
(iii)
56.09
(iv)
53.09
(v)
54.09
Assignment Key
1) (iv)
2) (iii)
3) (iv)
4) (iv)
5) (ii)
6) (iv)
7) (v)
8) (v)
9) (v)
10) (ii)
11) (iv)
12) (iii)
13) (iv)
14) (ii)
15) (iii)
16) (ii)
