EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Measures of Central Tendency
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
If the mean of
8
4
7
3
x
10
9
2
is
6
1
8
,
find the value of x.
(i)
5
(ii)
7
(iii)
3
(iv)
9
(v)
6
Question
2
2.
Weights of 20 students are given below. Find the mean.
Weight (in kg)
41
46
47
49
50
52
57
58
No. of students
3
3
1
2
3
4
3
1
(i)
199
4
kg
(ii)
1013
20
kg
(iii)
497
10
kg
(iv)
993
20
kg
(v)
1033
20
kg
Question
3
3.
Find the mean of first 10 multiples of 3.
(i)
17
(ii)
35
2
(iii)
31
2
(iv)
65
4
(v)
33
2
Question
4
4.
Weights of 147 students (in kg) are given below. Calculate the mean weight from the given histogram.
(i)
63.47 kg
(ii)
65.47 kg
(iii)
55.47 kg
(iv)
60.47 kg
(v)
57.47 kg
Question
5
5.
Find the mean of first 8 whole numbers.
(i)
7
2
(ii)
9
2
(iii)
5
2
(iv)
13
4
(v)
4
Question
6
6.
Heights of 137 students (in cm) are given below. Calculate the mean height from the given histogram.
(i)
161.34 cm
(ii)
113.34 cm
(iii)
152.34 cm
(iv)
124.34 cm
(v)
136.34 cm
Question
7
7.
The following frequency distribution table gives
the monthly consumption of electricity of
112
consumers in a locality.
Find the
mean units.
Monthly consumption (in units)
79 - 99
99 - 119
119 - 139
139 - 159
159 - 179
179 - 199
No. of consumers
24
21
23
12
21
11
(i)
1853
14
units
(ii)
1865
14
units
(iii)
1879
14
units
(iv)
926
7
units
(v)
1851
14
units
Question
8
8.
The histogram given below shows the number of illiterate persons of different age groups in a town. Using the data in the diagram, calculate the mean age
(i)
64.09 years
(ii)
65.09 years
(iii)
63.09 years
(iv)
62.09 years
(v)
61.09 years
Question
9
9.
Heights of 15 students (in cm) are given below. Find the mean height.
166
150
128
173
135
150
140
126
142
148
143
151
132
159
141
(i)
729
5
cm
(ii)
738
5
cm
(iii)
733
5
cm
(iv)
728
5
cm
(v)
146
cm
Question
10
10.
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 20
less than 25
less than 30
less than 35
less than 40
less than 45
No. of students
5
14
21
29
38
43
(i)
33.06
(ii)
25.06
(iii)
30.06
(iv)
35.06
(v)
27.06
Question
11
11.
The histogram given below represents the marks obtained by some candidates in an examination. Using the data in the diagram, calculate the mean marks
(i)
54
(ii)
56
(iii)
52
(iv)
53
(v)
55
Question
12
12.
The histogram given below represents the marks obtained by some candidates in an examination.
Using data in the diagram, calculate the
mean
marks.
(i)
47.98
(ii)
45.98
(iii)
46.98
(iv)
49.98
(v)
48.98
Question
13
13.
Weights of 13 students (in kg) are given below. Find the mean weight.
41
48
40
54
51
43
42
60
55
52
51
45
53
(i)
661
13
kg
(ii)
635
13
kg
(iii)
636
13
kg
(iv)
49
kg
(v)
648
13
kg
Question
14
14.
Daily wages of 250 labourers (in ₹) are given below. Calculate the mean wage from the given histogram.
(i)
₹253.92
(ii)
₹264.92
(iii)
₹212.92
(iv)
₹228.92
(v)
₹240.92
Question
15
15.
The marks obtained by 13 students in a test are given below. Find the mean of their marks when the marks of each student is increased by 3.
41
29
29
46
28
38
37
17
48
37
25
22
4
(i)
438
13
(ii)
506
15
(iii)
440
13
(iv)
34
Question
16
16.
Rainfall of 30 days are given below. Find the mean.
Rainfall (in mm)
5
6
7
8
9
10
11
12
13
14
15
No. of days
1
3
3
2
3
2
5
2
1
3
5
(i)
32
3
mm
(ii)
158
15
mm
(iii)
173
15
mm
(iv)
53
5
mm
(v)
188
15
mm
Question
17
17.
Daily wages of 15 labourers (in ₹) are given below. Find the mean wage.
496
396
358
474
431
424
453
328
481
487
487
452
371
469
457
(i)
₹
437.80
(ii)
₹
439.60
(iii)
₹
438.60
(iv)
₹
437.60
(v)
₹
438.00
Question
18
18.
Ages of 143 students (in years) are given below. Calculate the mean age from the given histogram.
(i)
32.85 years
(ii)
35.85 years
(iii)
37.85 years
(iv)
29.85 years
(v)
27.85 years
Question
19
19.
Scores of 11 students are given below. Find the mean score.
83
70
81
77
85
71
90
70
90
71
72
(i)
861
11
(ii)
882
11
(iii)
860
11
(iv)
862
11
(v)
871
11
Question
20
20.
If the mean of
6
samples is
29
1
2
,
what is the new mean if each number is multiplied by
9
.
(i)
1061
4
(ii)
529
2
(iii)
531
2
(iv)
533
2
(v)
266
Question
21
21.
Rainfall of 15 days (in mm) are given below. Find the mean rainfall.
6
5
10
6
6
5
13
13
14
5
5
12
9
9
9
(i)
157
15
mm
(ii)
142
15
mm
(iii)
127
15
mm
(iv)
43
5
mm
(v)
128
15
mm
Question
22
22.
Scores of 30 students are given below. Find the mean.
Score
71
73
75
78
81
84
89
90
No. of students
2
5
1
5
3
8
4
2
(i)
2453
30
(ii)
404
5
(iii)
2483
30
(iv)
485
6
(v)
2423
30
Question
23
23.
Scores of 177 students are given below. Calculate the mean score from the given histogram.
(i)
94.66
(ii)
89.66
(iii)
99.66
(iv)
97.66
(v)
91.66
Question
24
24.
Given the mean of
5
samples as
7
,
what is the mean if a sample value is
increased
by
15
?
(i)
11
(ii)
10
(iii)
9
(iv)
8
(v)
12
Question
25
25.
The mean of
8
numbers is
6
.
Upon
adding
one number,
the mean becomes
6
1
9
.
Find the
included
number.
(i)
8
(ii)
7
(iii)
6
(iv)
10
(v)
5
Assignment Key
1) (v)
2) (iv)
3) (v)
4) (iv)
5) (i)
6) (v)
7) (v)
8) (iii)
9) (iv)
10) (iii)
11) (i)
12) (i)
13) (ii)
14) (v)
15) (iii)
16) (ii)
17) (iv)
18) (i)
19) (iii)
20) (iii)
21) (iii)
22) (v)
23) (i)
24) (ii)
25) (ii)