EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Statistics
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
Given an even number of random samples with the middle two samples as
x +
14
and x +
16
and the median as
23
,
find the value of x.
(i)
7
(ii)
9
(iii)
6
(iv)
11
(v)
8
Question
2
2.
If some random sample data is arranged in a frequency distribution table in
inclusive form
with
1
-
8
as the first class,
then the observation
16
falls in which class?
(i)
8
-
15
(ii)
9
-
16
(iii)
8.5
-
16.5
(iv)
9.5
-
15.5
(v)
10
-
17
Question
3
3.
Given the mean of
10
samples as
4
3
5
,
what is the new mean if two samples
4
and
8
are added ?
(i)
37
8
(ii)
31
6
(iii)
29
6
(iv)
21
4
(v)
9
2
Question
4
4.
The marks obtained by Sai in his annual exam are shown below. Find the subject that has maximum score.
(i)
German
(ii)
Science
(iii)
Telugu
(iv)
Spanish
(v)
Biology
Question
5
5.
The class boundaries of the class with frequency x is
Class-Interval
Frequency
42 - 50
5
51 - 59
28
60 - 68
x
69 - 77
4
78 - 86
11
(i)
59
-
68.5
(ii)
59
-
69
(iii)
59.5
-
68.5
(iv)
59.5
-
69
(v)
60
-
68
Question
6
6.
If some random sample data is arranged in a frequency distribution table in
exclusive form
with
3
-
12
as the first class,
then the observation
26
falls in which class?
(i)
21
-
30
(ii)
20
-
29
(iii)
22
-
31
(iv)
20.5
-
30.5
(v)
21.5
-
29.5
Question
7
7.
Read the given column-graph. Find the month that has maximum rainfall.
(i)
July
(ii)
June
(iii)
August
(iv)
October
(v)
November
Question
8
8.
The marks obtained by 12 students in a test are given below. Find the mean of their marks when the marks of each student is increased by 1.
39
30
8
13
48
25
21
50
4
35
26
37
(i)
27
(ii)
28
(iii)
29
(iv)
31
(v)
30
Question
9
9.
Read the given column-graph. Find the month that has minimum rainfall.
(i)
June
(ii)
August
(iii)
September
(iv)
July
(v)
October
Question
10
10.
Scores of 11 students are given below. Find the mode.
Score
71
72
73
75
76
80
88
No. of students
2
1
1
1
4
1
1
(i)
78
(ii)
74
(iii)
76
(iv)
77
(v)
75
Question
11
11.
Find the median of the first 20 odd numbers.
(i)
19
(ii)
21
(iii)
17
(iv)
20
(v)
22
Question
12
12.
The following table gives the data regarding
the favourite sport of
137
students of a school.
Find number of students who like
boxing
.
Sport
running
cricket
hockey
wrestling
swimming
kabaddi
boxing
No. of Students
18
11
16
10
45
13
24
(i)
23
(ii)
25
(iii)
22
(iv)
24
(v)
27
Question
13
13.
684 students of a certain locality use different modes of travel to school as given below.
Mode of travel
RTC Bus
By Foot
School Van
Auto
Moped
School Bus
Scooter
No. of Students
72
81
117
171
108
45
90
Find the number of students whose travelling mode is School Bus.
(i)
44
(ii)
42
(iii)
47
(iv)
46
(v)
45
Question
14
14.
Wages of 25 labourers are given below. Find the median.
Wage (in rupees)
326
334
339
347
374
400
461
477
No. of labourers
2
3
5
2
2
1
4
6
(i)
₹
375.00
(ii)
₹
373.00
(iii)
₹
374.00
(iv)
₹
376.00
(v)
₹
372.00
Question
15
15.
There are certain creatures in a zoo. Find the type of creature that has minimum presense in the zoo.
(i)
Wild animals
(ii)
Reptiles
(iii)
Water animals
(iv)
Beast animals
(v)
Birds
Question
16
16.
There are certain creatures in a zoo. Find the type of creature that has maximum presense in the zoo.
(i)
Beast animals
(ii)
Land animals
(iii)
Water animals
(iv)
Reptiles
(v)
Domestic animals
Question
17
17.
Arrange the following data
19
33
13
14
17
15
10
14
12
10
in ascending order
(i)
12
38
16
28
17
21
30
21
23
24
(ii)
10
10
12
13
14
14
15
17
19
33
(iii)
24
20
26
10
25
35
17
13
40
26
(iv)
34
37
38
37
26
16
26
23
25
20
(v)
27
19
19
38
40
16
32
26
32
32
Question
18
18.
The class mark of the class with frequency x is
Class-Interval
Frequency
5 - 15
2
16 - 26
23
27 - 37
24
38 - 48
x
49 - 59
3
(i)
43
(ii)
41
(iii)
42
(iv)
45
(v)
44
Question
19
19.
Ages of 11 students (in years) are given below. Find the median age.
13
15
10
13
13
11
13
12
15
10
12
(i)
11
years
(ii)
12
years
(iii)
14
years
(iv)
15
years
(v)
13
years
Question
20
20.
Given class interval table, find the sum of frequencies.
Class-Interval
28 - 37
37 - 46
46 - 55
55 - 64
64 - 73
73 - 82
82 - 91
91 - 100
Frequency
23
6
10
4
26
20
2
19
(i)
107
(ii)
111
(iii)
113
(iv)
110
(v)
109
Question
21
21.
The class mark of the class with frequency x is
Class-Interval
Frequency
3 - 13
19
13 - 23
x
23 - 33
30
33 - 43
20
43 - 53
11
(i)
19
(ii)
18
(iii)
17
(iv)
16
(v)
21
Question
22
22.
Weights of 30 students are given below. Find the median.
Weight (in kg)
40
41
44
46
48
51
54
No. of students
4
4
4
6
4
4
4
(i)
44
kg
(ii)
47
kg
(iii)
46
kg
(iv)
48
kg
(v)
45
kg
Question
23
23.
The class marks of a frequency distribution are
30.5 , 37.5 , 44.5 , 51.5
.
Find the class size and class intervals
in exclusive form
(i)
8
;
27
-
34
,
35
-
42
,
43
-
50
,
51
-
58
(ii)
7
;
26
-
33
,
33
-
40
,
40
-
47
,
47
-
54
(iii)
7
;
28
-
35
,
35
-
42
,
42
-
49
,
49
-
56
(iv)
9
;
26
-
34
,
35
-
43
,
44
-
52
,
53
-
61
(v)
7
;
27
-
34
,
34
-
41
,
41
-
48
,
48
-
55
Question
24
24.
Heights of 25 plants are given below. Find the median.
Height (in cm)
51
61
66
67
79
86
96
100
No. of plants
2
2
4
4
2
4
4
3
(i)
77
cm
(ii)
78
cm
(iii)
79
cm
(iv)
80
cm
(v)
81
cm
Question
25
25.
The observations of an ungrouped data are
x
1
,
x
2
,
x
3
and
x
1
<
x
2
<
x
3
.
If the mean and median of the data are
42
and
28
respectively and
x
3
-
x
1
=
70
,
find
x
1
,
x
2
,
x
3
(i)
28
,
28
,
168
(ii)
18
,
28
,
88
(iii)
16
,
28
,
86
(iv)
14
,
28
,
84
Assignment Key
1) (v)
2) (ii)
3) (iii)
4) (i)
5) (iii)
6) (i)
7) (i)
8) (iii)
9) (i)
10) (iii)
11) (iv)
12) (iv)
13) (v)
14) (iii)
15) (i)
16) (iii)
17) (ii)
18) (i)
19) (v)
20) (iv)
21) (ii)
22) (iii)
23) (v)
24) (iii)
25) (iv)