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
38 - 46
47 - 55
56 - 64
65 - 73
74 - 82
Frequency
20
13
8
7
16
(i)
9
(ii)
8
(iii)
11
(iv)
10
(v)
7
Question
2
2.
The class size used in the below table is
Class-Interval
12 - 22
22 - 32
32 - 42
42 - 52
Frequency
17
3
11
6
(i)
7
(ii)
11
(iii)
9
(iv)
13
(v)
10
Question
3
3.
The class mark of the class with frequency x is
Class-Interval
Frequency
8 - 18
3
19 - 29
x
30 - 40
24
41 - 51
22
52 - 62
30
(i)
26
(ii)
25
(iii)
21
(iv)
23
(v)
24
Question
4
4.
The class mark of the class with frequency x is
Class-Interval
Frequency
4 - 14
18
14 - 24
x
24 - 34
20
34 - 44
8
44 - 54
9
(i)
19
(ii)
20
(iii)
21
(iv)
18
(v)
17
Question
5
5.
The mid value of the class with frequency x is
Class-Interval
Frequency
2 - 7
10
8 - 13
21
14 - 19
x
20 - 25
12
26 - 31
13
(i)
31
2
(ii)
35
2
(iii)
65
4
(iv)
33
2
(v)
17
Question
6
6.
The mid value of the class with frequency x is
Class-Interval
Frequency
11 - 16
20
16 - 21
x
21 - 26
4
26 - 31
6
31 - 36
3
(i)
19
(ii)
37
2
(iii)
39
2
(iv)
35
2
(v)
73
4
Question
7
7.
The class boundaries of the class with frequency x is
Class-Interval
Frequency
35 - 41
15
42 - 48
22
49 - 55
2
56 - 62
x
63 - 69
4
(i)
55.5
-
63
(ii)
55
-
63
(iii)
55
-
62.5
(iv)
55.5
-
62.5
(v)
56
-
62
Question
8
8.
The class boundaries of the class with frequency x is
Class-Interval
Frequency
32 - 40
7
40 - 48
4
48 - 56
10
56 - 64
7
64 - 72
x
(i)
63.5
-
72
(ii)
63.5
-
72.5
(iii)
64
-
72.5
(iv)
64
-
72
(v)
64.5
-
71.5
Question
9
9.
The true lower limit and true upper limit of the class with frequency x is
Class-Interval
Frequency
42 - 48
28
49 - 55
x
56 - 62
9
63 - 69
17
70 - 76
27
(i)
48.5
-
56
(ii)
48
-
56
(iii)
48
-
55.5
(iv)
48.5
-
55.5
(v)
49
-
55
Question
10
10.
The true lower limit and true upper limit of the class with frequency x is
Class-Interval
Frequency
46 - 51
5
51 - 56
24
56 - 61
10
61 - 66
30
66 - 71
x
(i)
66
-
71
(ii)
66
-
71.5
(iii)
66.5
-
70.5
(iv)
65.5
-
71.5
(v)
65.5
-
71
Question
11
11.
The lower limit of the class with frequency x is
Class-Interval
Frequency
37 - 45
14
46 - 54
x
55 - 63
1
64 - 72
9
73 - 81
6
(i)
45
(ii)
47
(iii)
48
(iv)
46
(v)
44
Question
12
12.
The upper limit of the class with frequency x is
Class-Interval
Frequency
25 - 35
26
35 - 45
3
45 - 55
x
55 - 65
23
65 - 75
19
(i)
56
(ii)
55
(iii)
54
(iv)
57
(v)
53
Question
13
13.
If some random sample data is arranged in a frequency distribution table in
inclusive form
with
1
-
5
as the first class,
then the observation
23
falls in which class?
(i)
20.5
-
25.5
(ii)
22
-
26
(iii)
21
-
25
(iv)
20
-
24
(v)
21.5
-
24.5
Question
14
14.
If some random sample data is arranged in a frequency distribution table in
exclusive form
with
2
-
9
as the first class,
then the observation
26
falls in which class?
(i)
23
-
30
(ii)
24
-
31
(iii)
22
-
29
(iv)
22.5
-
30.5
(v)
23.5
-
29.5
Question
15
15.
Find the sum of frequencies for the given table
Value
12
19
29
41
45
46
49
67
90
Frequency
1
1
1
1
1
2
1
1
1
(i)
12
(ii)
10
(iii)
11
(iv)
9
(v)
8
Question
16
16.
Given class interval table, find the sum of frequencies.
Class-Interval
43 - 49
50 - 56
57 - 63
64 - 70
71 - 77
78 - 84
Frequency
17
11
6
21
9
21
(i)
82
(ii)
84
(iii)
85
(iv)
87
(v)
86
Question
17
17.
Given class interval table, find the sum of frequencies.
Class-Interval
50 - 58
58 - 66
66 - 74
74 - 82
Frequency
22
15
27
19
(i)
84
(ii)
86
(iii)
81
(iv)
83
(v)
82
Question
18
18.
Given table in inclusive form, convert it into exclusive form.
Class-Interval
7 - 15
16 - 24
25 - 33
34 - 42
43 - 51
Frequency
32
29
46
22
21
(i)
Class-Interval
7 - 15
15 - 23
23 - 31
31 - 39
39 - 47
Frequency
39
37
36
46
17
(ii)
Class-Interval
6.5 - 14.5
15.5 - 23.5
24.5 - 32.5
33.5 - 41.5
42.5 - 50.5
Frequency
32
29
46
22
21
(iii)
Class-Interval
7.5 - 15.5
16.5 - 24.5
25.5 - 33.5
34.5 - 42.5
43.5 - 51.5
Frequency
32
29
46
22
21
(iv)
Class-Interval
6.5 - 15.5
15.5 - 24.5
24.5 - 33.5
33.5 - 42.5
42.5 - 51.5
Frequency
32
29
46
22
21
(v)
Class-Interval
6.5 - 15
15.5 - 24
24.5 - 33
33.5 - 42
42.5 - 51
Frequency
32
29
46
22
21
Question
19
19.
If the sum of the following frequency distribution is
22
,
find the value of 'x'.
Value
Frequency
4
1
5
3
6
1
7
2
8
x
9
2
11
1
13
3
14
4
(i)
6
(ii)
2
(iii)
5
(iv)
4
(v)
8
Question
20
20.
If the sum of the following frequency distribution is
28
,
find the value of 'x'.
Class-Interval
Frequency
20 - 30
7
31 - 41
3
42 - 52
9
53 - 63
2
64 - 74
3
75 - 85
x
(i)
5
(ii)
4
(iii)
3
(iv)
6
(v)
2
Question
21
21.
Given class interval
30
-
35
in exclusive form, its
lower limit is
(i)
29
(ii)
30
(iii)
31
(iv)
28
(v)
32
Question
22
22.
Given class interval
24
-
33
in exclusive form, its
upper limit is
(i)
34
(ii)
32
(iii)
31
(iv)
33
(v)
36
Question
23
23.
Given class interval
21
-
28
in exclusive form, its
class size is
(i)
10
(ii)
4
(iii)
8
(iv)
6
(v)
7
Question
24
24.
Given class interval
20
-
27
in exclusive form, its
class mark is
(i)
24
(ii)
49
2
(iii)
47
2
(iv)
93
4
(v)
45
2
Question
25
25.
Given class interval
46
-
53
in exclusive form, its
mid value is
(i)
99
2
(ii)
197
4
(iii)
50
(iv)
97
2
(v)
101
2
Question
26
26.
If the upper and lower limit of class interval are 26 and 20 respectively, then the class interval is
(i)
19.5
-
26
(ii)
19.5
-
26.5
(iii)
20.5
-
25.5
(iv)
20
-
26.5
(v)
20
-
26
Question
27
27.
If the lower and upper limit of class interval are 31 and 38 respectively, then the class interval is
(i)
30.5
-
38.5
(ii)
31.5
-
37.5
(iii)
31
-
38
(iv)
30.5
-
38
(v)
31
-
38.5
Question
28
28.
The class boundaries of 17 - 22 which is in exclusive form are
(i)
17
-
22
(ii)
16.5
-
22
(iii)
16.5
-
22.5
(iv)
17.5
-
21.5
(v)
17
-
22.5
Question
29
29.
The class boundaries of 48 - 56 which is in inclusive form are
(i)
47
-
57
(ii)
47.5
-
57
(iii)
48
-
56
(iv)
47.5
-
56.5
(v)
47
-
56.5
Question
30
30.
Convert the exclusive form of the class interval 24.5 - 31.5 to inclusive form
(i)
25
-
31
(ii)
24.5
-
31.5
(iii)
25.5
-
30.5
(iv)
25
-
31.5
(v)
24.5
-
31
Question
31
31.
Convert the inclusive form of the class interval 47 - 52 to exclusive form
(i)
46.5
-
53
(ii)
46
-
52.5
(iii)
46.5
-
52.5
(iv)
47
-
52
(v)
46
-
53
Question
32
32.
Convert the discontinuous form of the class interval 25 - 31 to continuous form
(i)
24.5
-
32
(ii)
24
-
31.5
(iii)
24.5
-
31.5
(iv)
24
-
32
(v)
25
-
31
Question
33
33.
Convert the continuous form of the class interval 14.5 - 23.5 to discontinuous form
(i)
15
-
23.5
(ii)
15.5
-
22.5
(iii)
15
-
23
(iv)
14.5
-
23.5
(v)
14.5
-
23
Question
34
34.
Which of the following are true?
a)
The number of times a particular observation occurs is called its frequency.
b)
The difference between the true upper limit and true lower limit is called the class mark.
c)
The true lower limit of the exclusive form class interval 10 - 20 is 10.
d)
The true lower limit of the inclusive form class interval 10 - 20 is 10.
e)
Each numerical figure in a data set is called an observation.
(i)
{b,a,c}
(ii)
{a,c,e}
(iii)
{b,d,e}
(iv)
{b,a}
(v)
{d,c}
Question
35
35.
Which of the following class intervals are in inclusive form?
a)
12 - 18 , 18 - 24 , 24 - 30,...
b)
11.5 - 18.5 , 18.5 - 25.5 , 25.5 - 32.5...
c)
30 - 36 , 36 - 42 , 42 - 48...
d)
12 - 18 , 19 - 25 , 26 - 32,...
e)
33 - 39 , 40 - 46 , 47 - 53,...
(i)
{d,e}
(ii)
{b,e}
(iii)
{c,a,d}
(iv)
{a,d}
(v)
{b,e,d}
Question
36
36.
In inclusive form representation, the observation
23
falls in which class?
(i)
13
-
23
(ii)
8
-
18
(iii)
12
-
22
(iv)
24
-
33
(v)
3
-
13
Question
37
37.
In exclusive form representation, the observation
39
falls in which class?
(i)
49
-
59
(ii)
29
-
39
(iii)
44
-
54
(iv)
34
-
39
(v)
39
-
49
Question
38
38.
If the sample data with range 30 has to be divided into 7 class intervals, then the length of the class is
(i)
3
(ii)
6
(iii)
4
(iv)
5
(v)
7
Question
39
39.
If the length of the class is 7, then the number of class intervals needed to represent data with range 40 is
(i)
3
(ii)
6
(iii)
8
(iv)
7
(v)
5
Question
40
40.
The number of classes of class size
8
required to represent
the given random sample in exclusive form
2
7
8
10
11
12
14
14
15
16
18
22
24
24
27
27
28
29
30
31
31
32
33
33
35
39
40
40
41
41
44
45
45
46
46
47
49
50
50
(i)
6
(ii)
9
(iii)
7
(iv)
4
(v)
8
Question
41
41.
Which of the following are continuous variables?
a)
Wages of workers in a factory.
b)
Number of members in a family.
c)
Heights of children in a class.
d)
Number of workers in a factory.
e)
Weights of persons in a group.
(i)
{b,a,c}
(ii)
{a,c,e}
(iii)
{d,c}
(iv)
{b,a}
(v)
{b,d,e}
Question
42
42.
Which of the following are discontinuous variables?
a)
Wages of workers in a factory.
b)
Number of members in a family.
c)
Heights of children in a class.
d)
Number of workers in a factory.
e)
Weights of persons in a group.
(i)
{a,b}
(ii)
{e,a,b}
(iii)
{b,d}
(iv)
{c,d,b}
(v)
{c,d}
Question
43
43.
Which of the following class intervals are in exclusive form?
a)
18 - 25 , 26 - 33 , 34 - 41,...
b)
18 - 25 , 25 - 32 , 32 - 39,...
c)
17.5 - 25.5 , 25.5 - 33.5 , 33.5 - 41.5...
d)
42 - 49 , 50 - 57 , 58 - 65,...
e)
39 - 46 , 46 - 53 , 53 - 60...
(i)
{b,c,e}
(ii)
{a,b,c}
(iii)
{a,d,e}
(iv)
{a,b}
(v)
{d,c}
Question
44
44.
The class marks of a frequency distribution are
19 , 30 , 41 , 52
.
Find the class size and class intervals
in inclusive form
(i)
11
;
13
-
24
,
24
-
35
,
35
-
46
,
46
-
57
(ii)
11
;
14
-
24
,
25
-
35
,
36
-
46
,
47
-
57
(iii)
11
;
15
-
25
,
26
-
36
,
37
-
47
,
48
-
58
(iv)
10
;
14
-
24
,
24
-
34
,
34
-
44
,
44
-
54
(v)
11
;
13
-
23
,
24
-
34
,
35
-
45
,
46
-
56
Question
45
45.
The class marks of a frequency distribution are
28.5 , 33.5 , 38.5 , 43.5
.
Find the class size and class intervals
in exclusive form
(i)
7
;
25
-
31
,
32
-
38
,
39
-
45
,
46
-
52
(ii)
5
;
26
-
31
,
31
-
36
,
36
-
41
,
41
-
46
(iii)
5
;
27
-
32
,
32
-
37
,
37
-
42
,
42
-
47
(iv)
5
;
25
-
30
,
30
-
35
,
35
-
40
,
40
-
45
(v)
6
;
26
-
31
,
32
-
37
,
38
-
43
,
44
-
49
Question
46
46.
Which of the following are continuous variables?
a)
Weights of persons in a group
b)
Population of cities
c)
Number of players in a team
d)
Number of workers in a factory
e)
Heights of children in a class
(i)
{a,e}
(ii)
{c,e}
(iii)
{d,b,a}
(iv)
{c,e,a}
(v)
{b,a}
Question
47
47.
Which of the following are discrete variables?
a)
Weights of persons in a group
b)
Number of workers in a factory
c)
Heights of children in a class
d)
Wages of workers in a factory
e)
Number of players in a team
(i)
{c,e}
(ii)
{b,e}
(iii)
{c,e,b}
(iv)
{a,b}
(v)
{d,a,b}
Assignment Key
1) (i)
2) (v)
3) (v)
4) (i)
5) (iv)
6) (ii)
7) (iv)
8) (iv)
9) (iv)
10) (i)
11) (iv)
12) (ii)
13) (iii)
14) (i)
15) (ii)
16) (iii)
17) (iv)
18) (iv)
19) (iii)
20) (ii)
21) (ii)
22) (iv)
23) (v)
24) (iii)
25) (i)
26) (v)
27) (iii)
28) (i)
29) (iv)
30) (i)
31) (iii)
32) (iii)
33) (iii)
34) (ii)
35) (i)
36) (i)
37) (v)
38) (iv)
39) (ii)
40) (iii)
41) (ii)
42) (iii)
43) (i)
44) (ii)
45) (ii)
46) (i)
47) (ii)
