EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Measures of Central Tendency
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
The histogram given below is a study of heart patients of different age groups. Using the data in the diagram, calculate the mean age
(i)
44.08 years
(ii)
42.08 years
(iii)
45.08 years
(iv)
46.08 years
(v)
43.08 years
Question
2
2.
If the mean of
7
samples is
22
,
what is the new mean if each number is multiplied by
7
.
(i)
154
(ii)
153
(iii)
157
(iv)
155
(v)
152
Question
3
3.
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)
44.05 years
(ii)
48.05 years
(iii)
47.05 years
(iv)
45.05 years
(v)
46.05 years
Question
4
4.
Rainfall of 15 days (in mm) are given below. Find the mean rainfall.
5
13
8
14
15
5
11
6
13
14
7
13
10
5
11
(i)
10
mm
(ii)
8
mm
(iii)
9
mm
(iv)
12
mm
(v)
11
mm
Question
5
5.
The daily wages of
114
workers in a factory are given below.
Find the
mean wage.
Wage (in rupees)
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
80 - 90
No. of workers
15
8
24
22
8
19
18
(i)
₹
56.32
(ii)
₹
56.37
(iii)
₹
56.42
(iv)
₹
57.32
(v)
₹
58.32
Question
6
6.
Find the mean of all prime numbers between 40 and 80.
(i)
179
3
(ii)
299
5
(iii)
415
7
(iv)
297
5
(v)
59
Question
7
7.
Find the mean of the first 15 even numbers.
(i)
17
(ii)
13
(iii)
16
(iv)
15
(v)
18
Question
8
8.
Given the mean of
10
samples as
5
3
5
,
what is the new mean if two samples
8
and
2
are added ?
(i)
6
(ii)
9
2
(iii)
11
2
(iv)
21
4
(v)
13
2
Question
9
9.
Given the mean of
11
samples as
8
2
11
,
what is the mean if a sample value is
decreased
by
14
?
(i)
88
13
(ii)
64
9
(iii)
78
11
(iv)
76
11
(v)
74
11
Question
10
10.
Find the mean of first 5 multiples of 13.
(i)
42
(ii)
36
(iii)
40
(iv)
38
(v)
39
Question
11
11.
Weights of 165 students (in kg) are given below. Calculate the mean weight from the given histogram.
(i)
69.16 kg
(ii)
71.16 kg
(iii)
66.16 kg
(iv)
61.16 kg
(v)
63.16 kg
Question
12
12.
The heights of 40 pupils in a school are given below. Calculate the mean height correct to 2 decimal places.
Height (in cm)
less than 127
less than 133
less than 139
less than 145
less than 151
No. of pupils
5
17
21
32
40
(i)
122.75 cm
(ii)
138.75 cm
(iii)
136.75 cm
(iv)
111.75 cm
(v)
149.75 cm
Question
13
13.
Find the mean of first 10 multiples of 19.
(i)
417
4
(ii)
211
2
(iii)
105
(iv)
209
2
(v)
207
2
Question
14
14.
Heights of 153 students (in cm) are given below. Calculate the mean height from the given histogram.
(i)
173.84 cm
(ii)
171.84 cm
(iii)
156.84 cm
(iv)
142.84 cm
(v)
134.84 cm
Question
15
15.
Heights of 10 students (in cm) are given below. Find the mean height.
174
135
158
154
158
155
128
161
157
163
(i)
309
2
cm
(ii)
1553
10
cm
(iii)
772
5
cm
(iv)
1543
10
cm
(v)
1563
10
cm
Question
16
16.
If the mean of
8
samples is
30
1
8
,
what is the new mean if
9
is added to each number.
(i)
311
8
(ii)
235
6
(iii)
391
10
(iv)
313
8
(v)
315
8
Question
17
17.
Weights of 10 students (in kg) are given below. Find the mean weight.
47
45
43
49
48
50
45
42
60
45
(i)
238
5
kg
(ii)
239
5
kg
(iii)
237
5
kg
(iv)
242
5
kg
(v)
247
5
kg
Question
18
18.
Scores of 30 students are given below. Find the mean.
Score
70
71
73
75
76
85
87
89
90
No. of students
4
3
4
3
4
1
3
3
5
(i)
793
10
(ii)
2407
30
(iii)
1189
15
(iv)
2377
30
(v)
2437
30
Question
19
19.
The marks obtained by 50 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
13
21
31
41
50
(i)
34.40
(ii)
28.40
(iii)
31.40
(iv)
36.40
(v)
26.40
Question
20
20.
The following table shows the weights of
98
persons in a group.
Find the
mean weight.
Weight (in kg)
20 - 30
31 - 41
42 - 52
53 - 63
64 - 74
75 - 85
86 - 96
No. of persons
19
15
18
11
8
20
7
(i)
2645
49
kg
(ii)
2644
49
kg
(iii)
54
kg
(iv)
2742
49
kg
(v)
2693
49
kg
Question
21
21.
A frequency distribution table is given below.
Find the
mean .
Class-Interval
2 - 10
10 - 18
18 - 26
26 - 34
34 - 42
Frequency
9
20
41
29
39
(i)
25
(ii)
27
(iii)
24
(iv)
28
(v)
26
Question
22
22.
Temperatures of 10 days (in °C) are given below. Find the mean temperature.
33
35
26
30
33
29
31
34
33
32
(i)
163
5
°C
(ii)
32
°C
(iii)
158
5
°C
(iv)
168
5
°C
(v)
159
5
°C
Question
23
23.
If the mean of
5
9
6
x
8
2
is
5
1
6
,
find the value of x.
(i)
-2
(ii)
2
(iii)
1
(iv)
0
(v)
4
Question
24
24.
Heights of 265 plants (in cm) are given below. Calculate the mean height from the given histogram.
(i)
87.16 cm
(ii)
85.16 cm
(iii)
90.16 cm
(iv)
95.16 cm
(v)
93.16 cm
Question
25
25.
Scores of 15 students are given below. Find the mean score.
73
79
87
72
87
79
72
88
70
75
83
75
84
72
87
(i)
1183
15
(ii)
1198
15
(iii)
1184
15
(iv)
79
(v)
1213
15
Assignment Key
1) (i)
2) (i)
3) (v)
4) (i)
5) (i)
6) (iv)
7) (iii)
8) (iii)
9) (iv)
10) (v)
11) (iii)
12) (iii)
13) (iv)
14) (iii)
15) (iv)
16) (iv)
17) (iii)
18) (iv)
19) (iii)
20) (ii)
21) (v)
22) (iii)
23) (iii)
24) (iii)
25) (i)
