EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Measures of Central Tendency
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
Find the mean of first 5 multiples of 20.
(i)
60
(ii)
61
(iii)
57
(iv)
59
(v)
63
Question
2
2.
Temperatures of 10 days (in °C) are given below. Find the mean temperature.
32
29
32
31
25
35
35
25
25
26
(i)
61
2
°C
(ii)
59
2
°C
(iii)
63
2
°C
(iv)
30
°C
Question
3
3.
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)
55
(ii)
54
(iii)
57
(iv)
56
(v)
58
Question
4
4.
The histogram given below represents the weights of students of a particular class. Using the data in the diagram, calculate the mean weight
(i)
48.69 kg
(ii)
44.69 kg
(iii)
46.69 kg
(iv)
47.69 kg
(v)
45.69 kg
Question
5
5.
If the sum of the following frequency distribution is
21
,
find the value of 'x'.
Class-Interval
Frequency
20 - 25
3
26 - 31
2
32 - 37
9
38 - 43
4
44 - 49
x
(i)
0
(ii)
3
(iii)
5
(iv)
2
(v)
4
Question
6
6.
Given the mean of
10
samples as
6
3
5
,
what is the new mean if two samples
4
and
9
are added ?
(i)
13
2
(ii)
27
4
(iii)
67
10
(iv)
77
12
(v)
79
12
Question
7
7.
The scores obtained by 11 students in a test are given below. Find the mean score.
2
7
1
11
4
18
19
19
1
5
9
(i)
1
(ii)
7
(iii)
8
8
11
(iv)
18
(v)
19
Question
8
8.
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)
56.44 years
(ii)
53.44 years
(iii)
55.44 years
(iv)
54.44 years
(v)
57.44 years
Question
9
9.
If the mean of the following frequency distribution is
7
5
9
,
find the value of 'x'.
Value
Frequency
4
2
5
6
6
1
7
4
8
x
9
3
10
7
11
1
(i)
2
(ii)
4
(iii)
1
(iv)
6
(v)
3
Question
10
10.
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)
28.50 years
(ii)
30.50 years
(iii)
31.50 years
(iv)
29.50 years
(v)
27.50 years
Question
11
11.
Ages of 20 students are given below. Find the mean.
Age (in years)
10
11
12
13
14
15
No. of students
4
4
4
1
5
2
(i)
51
4
years
(ii)
25
2
years
(iii)
53
4
years
(iv)
49
4
years
(v)
57
4
years
Question
12
12.
Heights of 12 students (in cm) are given below. Find the mean height.
172
133
170
151
138
129
136
131
139
152
130
163
(i)
442
3
cm
(ii)
436
3
cm
(iii)
439
3
cm
(iv)
146
cm
(v)
437
3
cm
Question
13
13.
If the mean of the following frequency distribution is
26
10
31
,
find the value of 'x'.
Class-Interval
Frequency
10 - 16
8
17 - 23
9
24 - 30
x
31 - 37
7
38 - 44
3
45 - 51
3
(i)
1
(ii)
2
(iii)
3
(iv)
-2
(v)
0
Question
14
14.
Scores of 30 students are given below. Find the mean.
Score
70
72
73
80
81
83
85
86
89
No. of students
5
1
5
4
7
1
3
1
3
(i)
79
(ii)
485
6
(iii)
479
6
(iv)
475
6
(v)
473
6
Question
15
15.
Rainfall of 199 days (in mm) are given below. Calculate the mean rainfall from the given histogram.
(i)
53.87 mm
(ii)
51.87 mm
(iii)
48.87 mm
(iv)
45.87 mm
(v)
43.87 mm
Question
16
16.
The marks obtained by 14 students in a test are given below. Find their mean marks.
48
15
25
17
47
39
43
38
40
3
49
22
11
43
(i)
220
7
(ii)
94
3
(iii)
158
5
(iv)
218
7
(v)
222
7
Question
17
17.
Daily wages of 10 labourers (in ₹) are given below. Find the mean wage.
344
377
342
456
357
435
340
434
464
322
(i)
₹
388.10
(ii)
₹
387.30
(iii)
₹
389.10
(iv)
₹
387.10
(v)
₹
387.20
Question
18
18.
If the mean of
5
samples is
16
,
what is the new mean if
4
is added to each number.
(i)
19
(ii)
20
(iii)
23
(iv)
21
(v)
17
Question
19
19.
Find the mean of the first 20 even numbers.
(i)
24
(ii)
18
(iii)
20
(iv)
21
(v)
22
Question
20
20.
A frequency distribution table is given below.
Find the
mean .
Class-Interval
1 - 6
6 - 11
11 - 16
16 - 21
21 - 26
26 - 31
31 - 36
Frequency
3
41
45
5
29
25
48
(i)
4063
196
(ii)
4257
196
(iii)
4453
196
(iv)
2031
98
(v)
4061
196
Question
21
21.
Find the mean of all prime numbers between 30 and 60.
(i)
133
3
(ii)
313
7
(iii)
311
7
(iv)
309
7
(v)
223
5
Question
22
22.
Heights of 10 students are given below. Find the mean.
Height (in cm)
132
144
151
162
No. of students
2
3
1
4
(i)
150
cm
(ii)
301
2
cm
(iii)
299
2
cm
(iv)
303
2
cm
Question
23
23.
Temperatures of 156 days (in °C) are given below. Calculate the mean temperature from the given histogram.
(i)
57.35 °C
(ii)
52.35 °C
(iii)
55.35 °C
(iv)
49.35 °C
(v)
47.35 °C
Question
24
24.
Wages of 10 labourers are given below. Find the mean.
Wage (in rupees)
319
370
388
417
446
453
476
No. of labourers
1
2
1
1
1
2
2
(i)
₹
417.00
(ii)
₹
417.80
(iii)
₹
418.80
(iv)
₹
416.80
(v)
₹
417.20
Question
25
25.
Weights of 20 students are given below. Find the mean.
Weight (in kg)
41
42
43
44
46
47
56
57
59
No. of students
2
2
3
1
3
2
3
3
1
(i)
97
2
kg
(ii)
989
20
kg
(iii)
1009
20
kg
(iv)
971
20
kg
(v)
969
20
kg
Assignment Key
1) (i)
2) (ii)
3) (iv)
4) (iii)
5) (ii)
6) (v)
7) (iii)
8) (iii)
9) (v)
10) (iv)
11) (iv)
12) (ii)
13) (i)
14) (v)
15) (iii)
16) (i)
17) (iv)
18) (ii)
19) (iv)
20) (v)
21) (iii)
22) (iii)
23) (ii)
24) (iv)
25) (v)