EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Measures of Central Tendency
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
Scores of 25 students are given below. Find the mean.
Score
72
73
74
75
76
78
83
84
86
89
90
No. of students
2
2
1
3
4
4
1
2
2
2
2
(i)
2036
25
(ii)
2011
25
(iii)
1988
25
(iv)
1986
25
(v)
1987
25
Question
2
2.
Given the mean of
10
samples as
8
1
10
,
what is the new mean if two samples
6
and
9
are added ?
(i)
8
(ii)
6
(iii)
9
(iv)
7
(v)
10
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
2
4
6
4
8
6
(i)
15
years
(ii)
13
years
(iii)
11
years
(iv)
12
years
(v)
14
years
Question
4
4.
Given the mean of
5
samples as
13
,
what is the mean if a sample value is
increased
by
15
?
(i)
14
(ii)
16
(iii)
15
(iv)
19
(v)
17
Question
5
5.
If the mean of
10
9
3
x
8
5
is
6
1
2
,
find the value of x.
(i)
1
(ii)
3
(iii)
5
(iv)
6
(v)
4
Question
6
6.
Rainfall of 208 days (in mm) are given below. Calculate the mean rainfall from the given histogram.
(i)
28.32 mm
(ii)
36.32 mm
(iii)
26.32 mm
(iv)
34.32 mm
(v)
31.32 mm
Question
7
7.
Heights of 12 plants (in cm) are given below. Find the mean height.
68
59
79
66
84
57
90
95
57
82
52
64
(i)
285
4
cm
(ii)
853
12
cm
(iii)
877
12
cm
(iv)
427
6
cm
(v)
865
12
cm
Question
8
8.
Given the mean of
12
samples as
6
11
12
,
what is the new mean if two samples
10
and
7
are removed ?
(i)
33
5
(ii)
7
(iii)
45
7
(iv)
31
5
Question
9
9.
The scores obtained by 10 students in a test are given below. Find the mean score.
11
11
4
16
3
3
14
5
6
13
(i)
8
3
5
(ii)
3
(iii)
8
1
2
(iv)
13
(v)
16
Question
10
10.
The daily wages of
133
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
No. of workers
25
17
24
8
15
18
26
(i)
₹
44.79
(ii)
₹
43.89
(iii)
₹
43.84
(iv)
₹
45.79
(v)
₹
43.79
Question
11
11.
The daily wages of
181
workers in a factory are given below.
Find the
mean wage.
Wage (in rupees)
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
80 - 90
90 - 100
100 - 110
No. of workers
28
17
22
30
20
22
20
22
(i)
₹
69.98
(ii)
₹
68.98
(iii)
₹
70.98
(iv)
₹
68.99
Question
12
12.
The arithmetic mean of
3
17
28
26
18
16
is
(i)
18
(ii)
19
(iii)
16
(iv)
20
(v)
17
Question
13
13.
Given the mean of
7
samples as
6
4
7
,
what is the mean if a sample value is
decreased
by
17
?
(i)
27
7
(ii)
31
7
(iii)
29
7
(iv)
37
9
(v)
21
5
Question
14
14.
Daily wages of 196 labourers (in ₹) are given below. Calculate the mean wage from the given histogram.
(i)
₹228.14
(ii)
₹243.14
(iii)
₹214.14
(iv)
₹220.14
(v)
₹234.14
Question
15
15.
If the mean of
5
samples is
29
4
5
,
what is the new mean if
7
is added to each number.
(i)
112
3
(ii)
182
5
(iii)
184
5
(iv)
256
7
(v)
186
5
Question
16
16.
Find the mean of the first 15 odd numbers.
(i)
15
(ii)
18
(iii)
12
(iv)
16
(v)
14
Question
17
17.
If the mean of the following frequency distribution is
5
13
35
,
find the value of 'x'.
Value
Frequency
1
2
2
2
3
7
4
5
5
3
6
4
7
4
8
2
9
3
10
x
11
1
(i)
3
(ii)
1
(iii)
5
(iv)
2
(v)
0
Question
18
18.
Weights of 89 students (in kg) are given below. Calculate the mean weight from the given histogram.
(i)
54.55 kg
(ii)
56.55 kg
(iii)
64.55 kg
(iv)
62.55 kg
(v)
59.55 kg
Question
19
19.
Find the mean of first 5 multiples of 18.
(i)
55
(ii)
53
(iii)
54
(iv)
56
(v)
51
Question
20
20.
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)
45
(ii)
43
(iii)
47
(iv)
46
(v)
44
Question
21
21.
Scores of 11 students are given below. Find the mean score.
78
90
75
76
84
81
89
74
75
88
90
(i)
911
11
(ii)
900
11
(iii)
901
11
(iv)
82
(v)
922
11
Question
22
22.
A frequency distribution table is given below.
Find the
mean .
Class-Interval
4 - 9
9 - 14
14 - 19
19 - 24
24 - 29
29 - 34
34 - 39
39 - 44
Frequency
19
8
50
35
45
8
16
27
(i)
309
13
(ii)
2471
104
(iii)
2473
104
(iv)
2679
104
(v)
2575
104
Question
23
23.
The production yield in kg per hectare of wheat of 44 farms of a village is given below. Calculate the mean yield correct to 2 decimal places.
Production yield (in kg/ha)
less than 60
less than 70
less than 80
less than 90
less than 100
less than 110
less than 120
Number of farms
6
12
18
23
31
39
44
(i)
90.68
(ii)
85.68
(iii)
80.68
(iv)
82.68
(v)
88.68
Question
24
24.
If the sum of the following frequency distribution is
34
,
find the value of 'x'.
Class-Interval
Frequency
10 - 16
7
17 - 23
7
24 - 30
4
31 - 37
3
38 - 44
x
45 - 51
2
52 - 58
7
59 - 65
1
(i)
6
(ii)
1
(iii)
4
(iv)
3
(v)
2
Question
25
25.
The arithmetic mean of a + 2, a, and a - 2 is
(i)
3a
(ii)
a - 2
(iii)
a + 2
(iv)
a
Assignment Key
1) (iv)
2) (i)
3) (ii)
4) (ii)
5) (v)
6) (v)
7) (ii)
8) (i)
9) (i)
10) (v)
11) (ii)
12) (i)
13) (iii)
14) (i)
15) (iii)
16) (i)
17) (iv)
18) (v)
19) (iii)
20) (i)
21) (ii)
22) (ii)
23) (ii)
24) (iv)
25) (iv)
