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)
127
133
149
150
151
155
160
162
163
168
175
No. of students
1
2
2
3
2
3
3
3
2
2
2
(i)
3936
25
cm
(ii)
3887
25
cm
(iii)
3886
25
cm
(iv)
3911
25
cm
(v)
3888
25
cm
Question
2
2.
Heights of 15 plants are given below. Find the mean.
Height (in cm)
61
65
73
76
86
95
99
No. of plants
3
1
3
3
1
3
1
(i)
233
3
cm
(ii)
239
3
cm
(iii)
235
3
cm
(iv)
78
cm
(v)
236
3
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
4
4
1
4
4
3
(i)
269
20
years
(ii)
25
2
years
(iii)
289
20
years
(iv)
249
20
years
(v)
251
20
years
Question
4
4.
Scores of 10 students are given below. Find the mean.
Score
73
79
82
83
86
87
90
No. of students
1
1
1
4
1
1
1
(i)
83
(ii)
849
10
(iii)
839
10
(iv)
831
10
(v)
829
10
Question
5
5.
Rainfall of 25 days are given below. Find the mean.
Rainfall (in mm)
6
7
9
10
11
12
13
14
15
No. of days
3
3
4
4
2
3
3
1
2
(i)
306
25
mm
(ii)
257
25
mm
(iii)
258
25
mm
(iv)
281
25
mm
(v)
256
25
mm
Question
6
6.
Temperatures of 15 days are given below. Find the mean.
Temperature (in degree C)
25
26
27
28
30
31
33
34
35
No. of days
1
1
1
2
3
1
1
3
2
(i)
95
3
°C
(ii)
98
3
°C
(iii)
92
3
°C
(iv)
31
°C
(v)
94
3
°C
Question
7
7.
Weights of 30 students are given below. Find the mean.
Weight (in kg)
40
41
42
43
47
48
49
54
55
56
59
No. of students
3
2
1
4
1
2
3
6
1
4
3
(i)
773
15
kg
(ii)
248
5
kg
(iii)
758
15
kg
(iv)
149
3
kg
(v)
743
15
kg
Question
8
8.
Wages of 10 labourers are given below. Find the mean.
Wage (in rupees)
308
327
374
419
455
471
481
No. of labourers
1
1
2
1
1
1
3
(i)
₹
418.10
(ii)
₹
417.20
(iii)
₹
417.30
(iv)
₹
419.10
(v)
₹
417.10
Question
9
9.
The following table shows the weights of
51
persons in a group.
Find the
mean weight.
Weight (in kg)
40 - 50
51 - 61
62 - 72
73 - 83
84 - 94
No. of persons
6
7
10
10
18
(i)
1240
17
kg
(ii)
1272
17
kg
(iii)
1238
17
kg
(iv)
1239
17
kg
(v)
1255
17
kg
Question
10
10.
The following table shows the weights of
97
persons in a group.
Find the
mean weight.
Weight (in kg)
20 - 27
27 - 34
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
No. of persons
12
16
14
14
13
18
10
(i)
8593
194
kg
(ii)
8785
194
kg
(iii)
4296
97
kg
(iv)
8979
194
kg
(v)
8591
194
kg
Question
11
11.
The daily wages of
128
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
62 - 68
69 - 75
No. of workers
6
22
8
5
25
16
23
23
(i)
₹
54.09
(ii)
₹
52.16
(iii)
₹
52.09
(iv)
₹
53.09
(v)
₹
52.12
Question
12
12.
The daily wages of
114
workers in a factory are given below.
Find the
mean wage.
Wage (in rupees)
30 - 38
38 - 46
46 - 54
54 - 62
62 - 70
70 - 78
No. of workers
24
21
5
28
12
24
(i)
₹
53.88
(ii)
₹
55.86
(iii)
₹
53.89
(iv)
₹
54.86
(v)
₹
53.86
Question
13
13.
A frequency distribution table is given below.
Find the
mean .
Class-Interval
20 - 29
30 - 39
40 - 49
50 - 59
60 - 69
70 - 79
80 - 89
Frequency
47
4
27
6
48
14
37
(i)
6723
122
(ii)
20167
366
(iii)
20533
366
(iv)
10084
183
(v)
20899
366
Question
14
14.
A frequency distribution table is given below.
Find the
mean .
Class-Interval
16 - 21
21 - 26
26 - 31
31 - 36
36 - 41
Frequency
29
46
49
45
25
(i)
2744
97
(ii)
2936
97
(iii)
2743
97
(iv)
2742
97
(v)
2839
97
Question
15
15.
The following frequency distribution table gives
the monthly consumption of electricity of
82
consumers in a locality.
Find the
mean units.
Monthly consumption (in units)
56 - 76
76 - 96
96 - 116
116 - 136
136 - 156
156 - 176
No. of consumers
23
10
11
10
20
8
(i)
4526
41
units
(ii)
4527
41
units
(iii)
4608
41
units
(iv)
4567
41
units
(v)
4528
41
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)
73.5
(ii)
71.5
(iii)
72.5
(iv)
70.5
(v)
74.5
Assignment Key
1) (iii)
2) (i)
3) (iv)
4) (v)
5) (v)
6) (iii)
7) (v)
8) (v)
9) (iii)
10) (v)
11) (iii)
12) (v)
13) (ii)
14) (iv)
15) (i)
16) (iii)