EduSahara™ Assignment
Name : Class Interval Table Concepts
Chapter : Statistics
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
Given class interval
46
-
51
in exclusive form, its
lower limit is
(i)
47
(ii)
46
(iii)
45
(iv)
48
(v)
44
Question
2
2.
Given class interval
42
-
50
in exclusive form, its
upper limit is
(i)
49
(ii)
50
(iii)
51
(iv)
48
(v)
53
Question
3
3.
Given class interval
11
-
20
in exclusive form, its
class size is
(i)
12
(ii)
6
(iii)
10
(iv)
9
(v)
8
Question
4
4.
Given class interval
37
-
46
in exclusive form, its
class mark is
(i)
85
2
(ii)
42
(iii)
165
4
(iv)
81
2
(v)
83
2
Question
5
5.
Given class interval
45
-
52
in exclusive form, its
mid value is
(i)
97
2
(ii)
49
(iii)
95
2
(iv)
193
4
(v)
99
2
Question
6
6.
If the upper and lower limit of class interval are 45 and 35 respectively, then the class interval is
(i)
35
-
45.5
(ii)
34.5
-
45.5
(iii)
34.5
-
45
(iv)
35.5
-
44.5
(v)
35
-
45
Question
7
7.
If the lower and upper limit of class interval are 28 and 36 respectively, then the class interval is
(i)
27.5
-
36
(ii)
28
-
36
(iii)
28.5
-
35.5
(iv)
28
-
36.5
(v)
27.5
-
36.5
Question
8
8.
The class boundaries of 19 - 24 which is in exclusive form are
(i)
19
-
24.5
(ii)
18.5
-
24.5
(iii)
19.5
-
23.5
(iv)
19
-
24
(v)
18.5
-
24
Question
9
9.
The class boundaries of 24 - 34 which is in inclusive form are
(i)
23
-
34.5
(ii)
24
-
34
(iii)
23.5
-
35
(iv)
23.5
-
34.5
(v)
23
-
35
Question
10
10.
Convert the exclusive form of the class interval 12.5 - 21.5 to inclusive form
(i)
13.5
-
20.5
(ii)
13
-
21.5
(iii)
12.5
-
21
(iv)
12.5
-
21.5
(v)
13
-
21
Question
11
11.
Convert the inclusive form of the class interval 24 - 32 to exclusive form
(i)
23.5
-
32.5
(ii)
23
-
33
(iii)
24
-
32
(iv)
23.5
-
33
(v)
23
-
32.5
Question
12
12.
Convert the discontinuous form of the class interval 41 - 43 to continuous form
(i)
40
-
43.5
(ii)
41
-
43
(iii)
40.5
-
43.5
(iv)
40
-
44
(v)
40.5
-
44
Question
13
13.
Convert the continuous form of the class interval 30.5 - 41.5 to discontinuous form
(i)
30.5
-
41.5
(ii)
30.5
-
41
(iii)
31.5
-
40.5
(iv)
31
-
41.5
(v)
31
-
41
Question
14
14.
The class size used in the below table is
Class-Interval
46 - 52
53 - 59
60 - 66
67 - 73
74 - 80
81 - 87
88 - 94
95 - 101
Frequency
18
28
14
11
5
14
29
27
(i)
7
(ii)
8
(iii)
6
(iv)
10
(v)
4
Question
15
15.
The class size used in the below table is
Class-Interval
50 - 56
56 - 62
62 - 68
68 - 74
74 - 80
80 - 86
Frequency
7
11
11
13
9
20
(i)
5
(ii)
4
(iii)
6
(iv)
7
(v)
9
Question
16
16.
Which of the following are true?
a)
The true lower limit of the exclusive form class interval 30 - 40 is 30.
b)
The true lower limit of the inclusive form class interval 30 - 40 is 30.
c)
The difference between the true upper limit and true lower limit is called the class mark.
d)
The number of times a particular observation occurs is called its frequency.
e)
Each numerical figure in a data set is called an observation.
(i)
{a,d,e}
(ii)
{b,c,e}
(iii)
{c,d}
(iv)
{b,a,d}
(v)
{b,a}
Question
17
17.
Which of the following class intervals are in inclusive form?
a)
10.5 - 20.5 , 20.5 - 30.5 , 30.5 - 40.5...
b)
11 - 20 , 21 - 30 , 31 - 40,...
c)
11 - 20 , 20 - 29 , 29 - 38,...
d)
41 - 50 , 51 - 60 , 61 - 70,...
e)
38 - 47 , 47 - 56 , 56 - 65...
(i)
{c,d,b}
(ii)
{e,a,b}
(iii)
{b,d}
(iv)
{c,d}
(v)
{a,b}
Question
18
18.
In inclusive form representation, the observation
24
falls in which class?
(i)
9
-
19
(ii)
13
-
23
(iii)
14
-
24
(iv)
4
-
14
(v)
25
-
34
Question
19
19.
In exclusive form representation, the observation
31
falls in which class?
(i)
21
-
31
(ii)
36
-
46
(iii)
26
-
31
(iv)
31
-
41
(v)
41
-
51
Question
20
20.
The class mark of the class with frequency x is
Class-Interval
Frequency
8 - 13
15
14 - 19
x
20 - 25
6
26 - 31
6
32 - 37
18
(i)
33
2
(ii)
17
(iii)
35
2
(iv)
31
2
(v)
65
4
Question
21
21.
The class mark of the class with frequency x is
Class-Interval
Frequency
5 - 10
17
10 - 15
5
15 - 20
x
20 - 25
30
25 - 30
15
(i)
33
2
(ii)
35
2
(iii)
37
2
(iv)
18
(v)
69
4
Question
22
22.
The mid value of the class with frequency x is
Class-Interval
Frequency
14 - 19
14
20 - 25
x
26 - 31
19
32 - 37
20
38 - 43
9
(i)
23
(ii)
43
2
(iii)
89
4
(iv)
45
2
(v)
47
2
Question
23
23.
The mid value of the class with frequency x is
Class-Interval
Frequency
20 - 30
21
30 - 40
x
40 - 50
20
50 - 60
7
60 - 70
10
(i)
35
(ii)
37
(iii)
33
(iv)
34
(v)
36
Question
24
24.
The class boundaries of the class with frequency x is
Class-Interval
Frequency
44 - 50
16
51 - 57
24
58 - 64
10
65 - 71
27
72 - 78
x
(i)
71
-
78.5
(ii)
72
-
78
(iii)
71.5
-
78.5
(iv)
71.5
-
79
(v)
71
-
79
Question
25
25.
The class boundaries of the class with frequency x is
Class-Interval
Frequency
11 - 19
14
19 - 27
23
27 - 35
x
35 - 43
24
43 - 51
3
(i)
26.5
-
35.5
(ii)
27
-
35
(iii)
27
-
35.5
(iv)
26.5
-
35
(v)
27.5
-
34.5
Question
26
26.
The true lower limit and true upper limit of the class with frequency x is
Class-Interval
Frequency
18 - 26
17
27 - 35
12
36 - 44
17
45 - 53
28
54 - 62
x
(i)
53
-
62.5
(ii)
53.5
-
63
(iii)
54
-
62
(iv)
53
-
63
(v)
53.5
-
62.5
Question
27
27.
The true lower limit and true upper limit of the class with frequency x is
Class-Interval
Frequency
24 - 29
29
29 - 34
28
34 - 39
30
39 - 44
10
44 - 49
x
(i)
43.5
-
49
(ii)
44
-
49.5
(iii)
44.5
-
48.5
(iv)
43.5
-
49.5
(v)
44
-
49
Question
28
28.
The lower limit of the class with frequency x is
Class-Interval
Frequency
17 - 22
x
23 - 28
3
29 - 34
3
35 - 40
26
41 - 46
28
(i)
16
(ii)
18
(iii)
15
(iv)
17
(v)
19
Question
29
29.
The upper limit of the class with frequency x is
Class-Interval
Frequency
12 - 19
6
19 - 26
1
26 - 33
x
33 - 40
14
40 - 47
5
(i)
33
(ii)
32
(iii)
31
(iv)
35
(v)
34
Question
30
30.
If the sample data with range 30 has to be divided into 9 class intervals, then the length of the class is
(i)
4
(ii)
7
(iii)
3
(iv)
2
(v)
5
Question
31
31.
If the length of the class is 10, then the number of class intervals needed to represent data with range 50 is
(i)
2
(ii)
5
(iii)
4
(iv)
8
(v)
6
Question
32
32.
The number of classes of class size
10
required to represent
the given random sample in exclusive form
4
4
5
7
7
10
14
15
16
16
18
19
23
23
25
26
26
28
30
31
31
37
37
37
40
40
41
42
42
44
46
47
47
48
50
(i)
3
(ii)
4
(iii)
7
(iv)
6
(v)
5
Question
33
33.
If some random sample data is arranged in a frequency distribution table in
inclusive form
with
2
-
6
as the first class,
then the observation
26
falls in which class?
(i)
21
-
25
(ii)
22
-
26
(iii)
22.5
-
25.5
(iv)
21.5
-
26.5
(v)
23
-
27
Question
34
34.
If some random sample data is arranged in a frequency distribution table in
exclusive form
with
6
-
12
as the first class,
then the observation
36
falls in which class?
(i)
35
-
41
(ii)
36
-
42
(iii)
35.5
-
42.5
(iv)
37
-
43
(v)
36.5
-
41.5
Question
35
35.
Given class interval table, find the sum of frequencies.
Class-Interval
37 - 47
48 - 58
59 - 69
70 - 80
81 - 91
Frequency
30
2
9
10
15
(i)
66
(ii)
69
(iii)
65
(iv)
64
(v)
67
Question
36
36.
Given class interval table, find the sum of frequencies.
Class-Interval
17 - 25
25 - 33
33 - 41
41 - 49
49 - 57
57 - 65
65 - 73
73 - 81
Frequency
3
12
22
25
17
22
16
28
(i)
146
(ii)
144
(iii)
143
(iv)
147
(v)
145
Question
37
37.
Which of the following are continuous variables?
a)
Heights of children in a class.
b)
Number of workers in a factory.
c)
Number of members in a family.
d)
Weights of persons in a group.
e)
Wages of workers in a factory.
(i)
{b,a,d}
(ii)
{a,d,e}
(iii)
{b,c,e}
(iv)
{b,a}
(v)
{c,d}
Question
38
38.
Which of the following are discontinuous variables?
a)
Weights of persons in a group.
b)
Number of workers in a factory.
c)
Number of members in a family.
d)
Heights of children in a class.
e)
Wages of workers in a factory.
(i)
{a,b}
(ii)
{b,c}
(iii)
{d,c}
(iv)
{d,c,b}
(v)
{e,a,b}
Question
39
39.
If the sum of the following frequency distribution is
41
,
find the value of 'x'.
Class-Interval
Frequency
10 - 15
10
16 - 21
3
22 - 27
4
28 - 33
8
34 - 39
4
40 - 45
6
46 - 51
x
(i)
5
(ii)
6
(iii)
7
(iv)
8
(v)
3
Question
40
40.
The class marks of a frequency distribution are
20 , 31 , 42 , 53
.
Find the class size and class intervals
in inclusive form
(i)
11
;
14
-
24
,
25
-
35
,
36
-
46
,
47
-
57
(ii)
11
;
16
-
26
,
27
-
37
,
38
-
48
,
49
-
59
(iii)
11
;
15
-
25
,
26
-
36
,
37
-
47
,
48
-
58
(iv)
11
;
14
-
25
,
25
-
36
,
36
-
47
,
47
-
58
(v)
10
;
15
-
25
,
25
-
35
,
35
-
45
,
45
-
55
Question
41
41.
The class marks of a frequency distribution are
25 , 31 , 37 , 43
.
Find the class size and class intervals
in exclusive form
(i)
8
;
21
-
28
,
29
-
36
,
37
-
44
,
45
-
52
(ii)
7
;
22
-
28
,
29
-
35
,
36
-
42
,
43
-
49
(iii)
6
;
21
-
27
,
27
-
33
,
33
-
39
,
39
-
45
(iv)
6
;
23
-
29
,
29
-
35
,
35
-
41
,
41
-
47
(v)
6
;
22
-
28
,
28
-
34
,
34
-
40
,
40
-
46
Question
42
42.
Which of the following are continuous variables?
a)
Weights of persons in a group
b)
Number of members in a family
c)
Marks obtained by student in a particular subject
d)
Number of workers in a factory
e)
Temperature at a place over a month
(i)
{c,e}
(ii)
{b,a}
(iii)
{c,e,a}
(iv)
{d,b,a}
(v)
{a,e}
Question
43
43.
Which of the following are discrete variables?
a)
Number of workers in a factory
b)
Temperature at a place over a month
c)
Rainfall at a place over a month
d)
Number of members in a family
e)
Wages of workers in a factory
(i)
{c,d,a}
(ii)
{c,d}
(iii)
{a,d}
(iv)
{e,b,a}
(v)
{b,a}
Question
44
44.
Which of the following class intervals are in exclusive form?
a)
21 - 26 , 26 - 31 , 31 - 36,...
b)
39 - 44 , 45 - 50 , 51 - 56,...
c)
21 - 26 , 27 - 32 , 33 - 38,...
d)
36 - 41 , 41 - 46 , 46 - 51...
e)
20.5 - 26.5 , 26.5 - 32.5 , 32.5 - 38.5...
(i)
{c,d}
(ii)
{b,a}
(iii)
{b,a,d}
(iv)
{a,d,e}
(v)
{b,c,e}
Question
45
45.
Given table in inclusive form, convert it into exclusive form.
Class-Interval
8 - 13
14 - 19
20 - 25
26 - 31
32 - 37
Frequency
32
32
49
50
31
(i)
Class-Interval
8.5 - 13.5
14.5 - 19.5
20.5 - 25.5
26.5 - 31.5
32.5 - 37.5
Frequency
32
32
49
50
31
(ii)
Class-Interval
7.5 - 13.5
13.5 - 19.5
19.5 - 25.5
25.5 - 31.5
31.5 - 37.5
Frequency
32
32
49
50
31
(iii)
Class-Interval
8 - 13
13 - 18
18 - 23
23 - 28
28 - 33
Frequency
37
29
50
37
27
(iv)
Class-Interval
7.5 - 12.5
13.5 - 18.5
19.5 - 24.5
25.5 - 30.5
31.5 - 36.5
Frequency
32
32
49
50
31
(v)
Class-Interval
7.5 - 13
13.5 - 19
19.5 - 25
25.5 - 31
31.5 - 37
Frequency
32
32
49
50
31
Assignment Key
1) (ii)
2) (ii)
3) (iv)
4) (v)
5) (i)
6) (v)
7) (ii)
8) (iv)
9) (iv)
10) (v)
11) (i)
12) (iii)
13) (v)
14) (i)
15) (iii)
16) (i)
17) (iii)
18) (iii)
19) (iv)
20) (i)
21) (ii)
22) (iv)
23) (i)
24) (iii)
25) (ii)
26) (v)
27) (v)
28) (iv)
29) (i)
30) (i)
31) (ii)
32) (v)
33) (ii)
34) (ii)
35) (i)
36) (v)
37) (ii)
38) (ii)
39) (ii)
40) (iii)
41) (v)
42) (v)
43) (iii)
44) (iv)
45) (ii)
