EduSahara™ Assignment
Name : Class Interval Table Concepts
Chapter : Frequency Distribution
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
The class size used in the below table is
Class-Interval
24 - 33
34 - 43
44 - 53
54 - 63
64 - 73
74 - 83
84 - 93
Frequency
26
3
26
10
8
25
4
(i)
10
(ii)
13
(iii)
8
(iv)
11
(v)
9
Question
2
2.
The class size used in the below table is
Class-Interval
25 - 31
31 - 37
37 - 43
43 - 49
49 - 55
55 - 61
61 - 67
67 - 73
Frequency
27
1
4
14
18
10
22
26
(i)
3
(ii)
9
(iii)
7
(iv)
5
(v)
6
Question
3
3.
The class mark of the class with frequency x is
Class-Interval
Frequency
1 - 6
11
7 - 12
x
13 - 18
20
19 - 24
18
25 - 30
2
(i)
17
2
(ii)
19
2
(iii)
10
(iv)
37
4
(v)
21
2
Question
4
4.
The class mark of the class with frequency x is
Class-Interval
Frequency
6 - 11
16
11 - 16
13
16 - 21
21
21 - 26
x
26 - 31
19
(i)
24
(ii)
93
4
(iii)
47
2
(iv)
45
2
(v)
49
2
Question
5
5.
The mid value of the class with frequency x is
Class-Interval
Frequency
16 - 26
11
27 - 37
x
38 - 48
23
49 - 59
21
60 - 70
17
(i)
29
(ii)
32
(iii)
31
(iv)
35
(v)
33
Question
6
6.
The mid value of the class with frequency x is
Class-Interval
Frequency
5 - 10
17
10 - 15
11
15 - 20
10
20 - 25
15
25 - 30
x
(i)
28
(ii)
53
2
(iii)
109
4
(iv)
55
2
(v)
57
2
Question
7
7.
The class boundaries of the class with frequency x is
Class-Interval
Frequency
32 - 38
9
39 - 45
1
46 - 52
1
53 - 59
x
60 - 66
9
(i)
52.5
-
60
(ii)
52.5
-
59.5
(iii)
52
-
60
(iv)
53
-
59
(v)
52
-
59.5
Question
8
8.
The class boundaries of the class with frequency x is
Class-Interval
Frequency
48 - 55
x
55 - 62
30
62 - 69
14
69 - 76
14
76 - 83
25
(i)
48
-
55
(ii)
48.5
-
54.5
(iii)
47.5
-
55.5
(iv)
48
-
55.5
(v)
47.5
-
55
Question
9
9.
The true lower limit and true upper limit of the class with frequency x is
Class-Interval
Frequency
42 - 50
13
51 - 59
x
60 - 68
11
69 - 77
21
78 - 86
5
(i)
51
-
59
(ii)
50
-
60
(iii)
50.5
-
59.5
(iv)
50
-
59.5
(v)
50.5
-
60
Question
10
10.
The true lower limit and true upper limit of the class with frequency x is
Class-Interval
Frequency
18 - 24
2
24 - 30
x
30 - 36
15
36 - 42
10
42 - 48
26
(i)
24.5
-
29.5
(ii)
24
-
30.5
(iii)
24
-
30
(iv)
23.5
-
30
(v)
23.5
-
30.5
Question
11
11.
The lower limit of the class with frequency x is
Class-Interval
Frequency
27 - 35
7
36 - 44
x
45 - 53
16
54 - 62
7
63 - 71
21
(i)
36
(ii)
39
(iii)
34
(iv)
37
(v)
35
Question
12
12.
The upper limit of the class with frequency x is
Class-Interval
Frequency
44 - 52
9
52 - 60
x
60 - 68
15
68 - 76
13
76 - 84
7
(i)
60
(ii)
59
(iii)
57
(iv)
62
(v)
61
Question
13
13.
If some random sample data is arranged in a frequency distribution table in
inclusive form
with
2
-
9
as the first class,
then the observation
20
falls in which class?
(i)
17.5
-
25.5
(ii)
19
-
26
(iii)
17
-
24
(iv)
18
-
25
(v)
18.5
-
24.5
Question
14
14.
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
27
falls in which class?
(i)
20.5
-
30.5
(ii)
21.5
-
29.5
(iii)
22
-
31
(iv)
21
-
30
(v)
20
-
29
Question
15
15.
Find the sum of frequencies for the given table
Value
10
16
39
45
65
75
80
83
88
Frequency
1
1
1
2
1
1
1
1
1
(i)
11
(ii)
13
(iii)
10
(iv)
7
(v)
9
Question
16
16.
Given class interval table, find the sum of frequencies.
Class-Interval
47 - 55
56 - 64
65 - 73
74 - 82
83 - 91
92 - 100
101 - 109
Frequency
27
17
13
25
4
19
13
(i)
120
(ii)
119
(iii)
118
(iv)
115
(v)
117
Question
17
17.
Given class interval table, find the sum of frequencies.
Class-Interval
50 - 57
57 - 64
64 - 71
71 - 78
78 - 85
Frequency
5
14
16
1
25
(i)
59
(ii)
60
(iii)
61
(iv)
63
(v)
62
Question
18
18.
Given table in inclusive form, convert it into exclusive form.
Class-Interval
11 - 16
17 - 22
23 - 28
29 - 34
35 - 40
41 - 46
Frequency
42
26
22
26
23
45
(i)
Class-Interval
11.5 - 16.5
17.5 - 22.5
23.5 - 28.5
29.5 - 34.5
35.5 - 40.5
41.5 - 46.5
Frequency
42
26
22
26
23
45
(ii)
Class-Interval
10.5 - 16.5
16.5 - 22.5
22.5 - 28.5
28.5 - 34.5
34.5 - 40.5
40.5 - 46.5
Frequency
42
26
22
26
23
45
(iii)
Class-Interval
10.5 - 16
16.5 - 22
22.5 - 28
28.5 - 34
34.5 - 40
40.5 - 46
Frequency
42
26
22
26
23
45
(iv)
Class-Interval
11 - 16
16 - 21
21 - 26
26 - 31
31 - 36
36 - 41
Frequency
26
39
30
17
11
10
(v)
Class-Interval
10.5 - 15.5
16.5 - 21.5
22.5 - 27.5
28.5 - 33.5
34.5 - 39.5
40.5 - 45.5
Frequency
42
26
22
26
23
45
Question
19
19.
If the sum of the following frequency distribution is
25
,
find the value of 'x'.
Value
Frequency
1
3
3
x
4
2
5
2
6
3
7
2
9
3
10
6
11
2
(i)
1
(ii)
2
(iii)
-1
(iv)
5
(v)
3
Question
20
20.
If the sum of the following frequency distribution is
35
,
find the value of 'x'.
Class-Interval
Frequency
10 - 17
7
18 - 25
5
26 - 33
6
34 - 41
9
42 - 49
x
50 - 57
5
58 - 65
2
(i)
-1
(ii)
4
(iii)
1
(iv)
2
(v)
0
Question
21
21.
Given class interval
38
-
45
in exclusive form, its
lower limit is
(i)
39
(ii)
37
(iii)
35
(iv)
40
(v)
38
Question
22
22.
Given class interval
27
-
29
in exclusive form, its
upper limit is
(i)
28
(ii)
30
(iii)
32
(iv)
29
(v)
26
Question
23
23.
Given class interval
16
-
26
in exclusive form, its
class size is
(i)
11
(ii)
13
(iii)
9
(iv)
7
(v)
10
Question
24
24.
Given class interval
46
-
50
in exclusive form, its
class mark is
(i)
48
(ii)
47
(iii)
45
(iv)
51
(v)
49
Question
25
25.
Given class interval
45
-
50
in exclusive form, its
mid value is
(i)
95
2
(ii)
97
2
(iii)
93
2
(iv)
189
4
(v)
48
Question
26
26.
If the upper and lower limit of class interval are 17 and 15 respectively, then the class interval is
(i)
14.5
-
17
(ii)
15
-
17.5
(iii)
14.5
-
17.5
(iv)
15.5
-
16.5
(v)
15
-
17
Question
27
27.
If the lower and upper limit of class interval are 31 and 39 respectively, then the class interval is
(i)
30.5
-
39.5
(ii)
31
-
39.5
(iii)
31.5
-
38.5
(iv)
31
-
39
(v)
30.5
-
39
Question
28
28.
The class boundaries of 12 - 17 which is in exclusive form are
(i)
12
-
17
(ii)
12
-
17.5
(iii)
12.5
-
16.5
(iv)
11.5
-
17
(v)
11.5
-
17.5
Question
29
29.
The class boundaries of 12 - 16 which is in inclusive form are
(i)
11
-
16.5
(ii)
11.5
-
17
(iii)
12
-
16
(iv)
11.5
-
16.5
(v)
11
-
17
Question
30
30.
Convert the exclusive form of the class interval 22.5 - 27.5 to inclusive form
(i)
23.5
-
26.5
(ii)
23
-
27.5
(iii)
23
-
27
(iv)
22.5
-
27
(v)
22.5
-
27.5
Question
31
31.
Convert the inclusive form of the class interval 37 - 41 to exclusive form
(i)
36.5
-
41.5
(ii)
37
-
41
(iii)
36.5
-
42
(iv)
36
-
41.5
(v)
36
-
42
Question
32
32.
Convert the discontinuous form of the class interval 44 - 54 to continuous form
(i)
44
-
54
(ii)
43
-
54.5
(iii)
43
-
55
(iv)
43.5
-
54.5
(v)
43.5
-
55
Question
33
33.
Convert the continuous form of the class interval 18.5 - 24.5 to discontinuous form
(i)
19.5
-
23.5
(ii)
19
-
24.5
(iii)
18.5
-
24
(iv)
19
-
24
(v)
18.5
-
24.5
Question
34
34.
Which of the following are true?
a)
Each numerical figure in a data set is called an observation.
b)
The difference between the true upper limit and true lower limit is called the class mark.
c)
The number of times a particular observation occurs is called its frequency.
d)
The true lower limit of the exclusive form class interval 20 - 30 is 20.
e)
The true lower limit of the inclusive form class interval 20 - 30 is 20.
(i)
{e,c}
(ii)
{b,a,c}
(iii)
{b,e,d}
(iv)
{b,a}
(v)
{a,c,d}
Question
35
35.
Which of the following class intervals are in inclusive form?
a)
25 - 35 , 36 - 46 , 47 - 57,...
b)
55 - 65 , 65 - 75 , 75 - 85...
c)
58 - 68 , 69 - 79 , 80 - 90,...
d)
25 - 35 , 35 - 45 , 45 - 55,...
e)
24.5 - 35.5 , 35.5 - 46.5 , 46.5 - 57.5...
(i)
{a,c}
(ii)
{d,c,a}
(iii)
{e,b,a}
(iv)
{b,a}
(v)
{d,c}
Question
36
36.
In inclusive form representation, the observation
52
falls in which class?
(i)
53
-
62
(ii)
32
-
42
(iii)
42
-
52
(iv)
41
-
51
(v)
37
-
47
Question
37
37.
In exclusive form representation, the observation
22
falls in which class?
(i)
12
-
22
(ii)
27
-
37
(iii)
32
-
42
(iv)
17
-
22
(v)
22
-
32
Question
38
38.
If the sample data with range 40 has to be divided into 9 class intervals, then the length of the class is
(i)
6
(ii)
4
(iii)
3
(iv)
7
(v)
5
Question
39
39.
If the length of the class is 6, then the number of class intervals needed to represent data with range 60 is
(i)
8
(ii)
10
(iii)
12
(iv)
11
(v)
9
Question
40
40.
The number of classes of class size
7
required to represent
the given random sample in exclusive form
3
6
6
8
12
13
19
20
23
25
25
25
26
28
29
29
30
32
33
36
36
38
39
40
44
45
47
49
(i)
6
(ii)
8
(iii)
7
(iv)
5
(v)
10
Question
41
41.
Which of the following are continuous variables?
a)
Number of members in a family.
b)
Wages of workers in a factory.
c)
Weights of persons in a group.
d)
Heights of children in a class.
e)
Number of workers in a factory.
(i)
{b,c,d}
(ii)
{a,b,c}
(iii)
{a,e,d}
(iv)
{e,c}
(v)
{a,b}
Question
42
42.
Which of the following are discontinuous variables?
a)
Weights of persons in a group.
b)
Number of members in a family.
c)
Heights of children in a class.
d)
Number of workers in a factory.
e)
Wages of workers in a factory.
(i)
{b,d}
(ii)
{a,b}
(iii)
{e,a,b}
(iv)
{c,d,b}
(v)
{c,d}
Question
43
43.
Which of the following class intervals are in exclusive form?
a)
30 - 36 , 36 - 42 , 42 - 48,...
b)
30 - 36 , 37 - 43 , 44 - 50,...
c)
29.5 - 36.5 , 36.5 - 43.5 , 43.5 - 50.5...
d)
51 - 57 , 58 - 64 , 65 - 71,...
e)
48 - 54 , 54 - 60 , 60 - 66...
(i)
{b,d,e}
(ii)
{a,c,e}
(iii)
{b,a}
(iv)
{d,c}
(v)
{b,a,c}
Question
44
44.
The class marks of a frequency distribution are
14.5 , 20.5 , 26.5 , 32.5
.
Find the class size and class intervals
in inclusive form
(i)
5
;
12
-
17
,
17
-
22
,
22
-
27
,
27
-
32
(ii)
6
;
11
-
16
,
17
-
22
,
23
-
28
,
29
-
34
(iii)
6
;
12
-
17
,
18
-
23
,
24
-
29
,
30
-
35
(iv)
6
;
13
-
18
,
19
-
24
,
25
-
30
,
31
-
36
(v)
6
;
11
-
17
,
17
-
23
,
23
-
29
,
29
-
35
Question
45
45.
The class marks of a frequency distribution are
28 , 34 , 40 , 46
.
Find the class size and class intervals
in exclusive form
(i)
6
;
26
-
32
,
32
-
38
,
38
-
44
,
44
-
50
(ii)
7
;
25
-
31
,
32
-
38
,
39
-
45
,
46
-
52
(iii)
6
;
24
-
30
,
30
-
36
,
36
-
42
,
42
-
48
(iv)
6
;
25
-
31
,
31
-
37
,
37
-
43
,
43
-
49
(v)
8
;
24
-
31
,
32
-
39
,
40
-
47
,
48
-
55
Question
46
46.
Which of the following are continuous variables?
a)
Rainfall at a place over a month
b)
Population of cities
c)
Number of workers in a factory
d)
Weights of persons in a group
e)
Number of players in a team
(i)
{c,d}
(ii)
{e,b,a}
(iii)
{c,d,a}
(iv)
{a,d}
(v)
{b,a}
Question
47
47.
Which of the following are discrete variables?
a)
Heights of children in a class
b)
Weights of persons in a group
c)
Number of players in a team
d)
Rainfall at a place over a month
e)
Number of workers in a factory
(i)
{d,a,c}
(ii)
{b,e}
(iii)
{c,e}
(iv)
{b,e,c}
(v)
{a,c}
Assignment Key
1) (i)
2) (v)
3) (ii)
4) (iii)
5) (ii)
6) (iv)
7) (ii)
8) (i)
9) (iii)
10) (iii)
11) (i)
12) (i)
13) (iv)
14) (iv)
15) (iii)
16) (iii)
17) (iii)
18) (ii)
19) (ii)
20) (iii)
21) (v)
22) (iv)
23) (v)
24) (i)
25) (i)
26) (v)
27) (iv)
28) (i)
29) (iv)
30) (iii)
31) (i)
32) (iv)
33) (iv)
34) (v)
35) (i)
36) (iii)
37) (v)
38) (v)
39) (ii)
40) (iii)
41) (i)
42) (i)
43) (ii)
44) (iii)
45) (iv)
46) (iv)
47) (iii)
