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
29 - 37
38 - 46
47 - 55
56 - 64
65 - 73
Frequency
8
22
10
25
7
(i)
11
(ii)
8
(iii)
7
(iv)
10
(v)
9
Question
2
2.
The class size used in the below table is
Class-Interval
21 - 27
27 - 33
33 - 39
39 - 45
45 - 51
51 - 57
Frequency
16
22
24
26
29
7
(i)
9
(ii)
3
(iii)
7
(iv)
6
(v)
5
Question
3
3.
The class mark of the class with frequency x is
Class-Interval
Frequency
16 - 21
24
22 - 27
2
28 - 33
5
34 - 39
23
40 - 45
x
(i)
169
4
(ii)
87
2
(iii)
43
(iv)
83
2
(v)
85
2
Question
4
4.
The class mark of the class with frequency x is
Class-Interval
Frequency
12 - 22
14
22 - 32
x
32 - 42
23
42 - 52
21
52 - 62
3
(i)
27
(ii)
26
(iii)
29
(iv)
24
(v)
28
Question
5
5.
The mid value of the class with frequency x is
Class-Interval
Frequency
4 - 9
23
10 - 15
x
16 - 21
30
22 - 27
18
28 - 33
14
(i)
23
2
(ii)
13
(iii)
27
2
(iv)
49
4
(v)
25
2
Question
6
6.
The mid value of the class with frequency x is
Class-Interval
Frequency
4 - 9
27
9 - 14
25
14 - 19
1
19 - 24
x
24 - 29
14
(i)
22
(ii)
45
2
(iii)
41
2
(iv)
43
2
(v)
85
4
Question
7
7.
The class boundaries of the class with frequency x is
Class-Interval
Frequency
32 - 39
30
40 - 47
20
48 - 55
27
56 - 63
30
64 - 71
x
(i)
63
-
72
(ii)
63.5
-
71.5
(iii)
63
-
71.5
(iv)
63.5
-
72
(v)
64
-
71
Question
8
8.
The class boundaries of the class with frequency x is
Class-Interval
Frequency
39 - 44
29
44 - 49
28
49 - 54
22
54 - 59
x
59 - 64
26
(i)
54
-
59.5
(ii)
54.5
-
58.5
(iii)
54
-
59
(iv)
53.5
-
59.5
(v)
53.5
-
59
Question
9
9.
The true lower limit and true upper limit of the class with frequency x is
Class-Interval
Frequency
27 - 34
21
35 - 42
20
43 - 50
x
51 - 58
10
59 - 66
6
(i)
43
-
50
(ii)
42
-
50.5
(iii)
42
-
51
(iv)
42.5
-
51
(v)
42.5
-
50.5
Question
10
10.
The true lower limit and true upper limit of the class with frequency x is
Class-Interval
Frequency
28 - 35
14
35 - 42
x
42 - 49
26
49 - 56
22
56 - 63
24
(i)
35
-
42
(ii)
34.5
-
42
(iii)
35
-
42.5
(iv)
35.5
-
41.5
(v)
34.5
-
42.5
Question
11
11.
The lower limit of the class with frequency x is
Class-Interval
Frequency
35 - 42
4
43 - 50
19
51 - 58
15
59 - 66
x
67 - 74
30
(i)
58
(ii)
60
(iii)
62
(iv)
57
(v)
59
Question
12
12.
The upper limit of the class with frequency x is
Class-Interval
Frequency
30 - 35
19
35 - 40
x
40 - 45
3
45 - 50
2
50 - 55
9
(i)
39
(ii)
41
(iii)
37
(iv)
40
(v)
42
Question
13
13.
If some random sample data is arranged in a frequency distribution table in
inclusive form
with
3
-
12
as the first class,
then the observation
20
falls in which class?
(i)
12
-
21
(ii)
12.5
-
22.5
(iii)
13.5
-
21.5
(iv)
14
-
23
(v)
13
-
22
Question
14
14.
If some random sample data is arranged in a frequency distribution table in
exclusive form
with
2
-
11
as the first class,
then the observation
23
falls in which class?
(i)
19
-
28
(ii)
20.5
-
28.5
(iii)
19.5
-
29.5
(iv)
21
-
30
(v)
20
-
29
Question
15
15.
Find the sum of frequencies for the given table
Value
10
11
13
33
41
48
50
59
64
89
Frequency
1
1
1
1
1
1
1
1
1
1
(i)
8
(ii)
12
(iii)
11
(iv)
10
(v)
9
Question
16
16.
Given class interval table, find the sum of frequencies.
Class-Interval
31 - 39
40 - 48
49 - 57
58 - 66
Frequency
3
6
12
17
(i)
39
(ii)
36
(iii)
41
(iv)
37
(v)
38
Question
17
17.
Given class interval table, find the sum of frequencies.
Class-Interval
36 - 43
43 - 50
50 - 57
57 - 64
64 - 71
Frequency
16
17
10
10
19
(i)
73
(ii)
72
(iii)
75
(iv)
71
(v)
69
Question
18
18.
Given table in inclusive form, convert it into exclusive form.
Class-Interval
19 - 24
25 - 30
31 - 36
37 - 42
43 - 48
Frequency
47
20
13
32
40
(i)
Class-Interval
19 - 24
24 - 29
29 - 34
34 - 39
39 - 44
Frequency
34
48
15
47
31
(ii)
Class-Interval
18.5 - 24.5
24.5 - 30.5
30.5 - 36.5
36.5 - 42.5
42.5 - 48.5
Frequency
47
20
13
32
40
(iii)
Class-Interval
18.5 - 24
24.5 - 30
30.5 - 36
36.5 - 42
42.5 - 48
Frequency
47
20
13
32
40
(iv)
Class-Interval
18.5 - 23.5
24.5 - 29.5
30.5 - 35.5
36.5 - 41.5
42.5 - 47.5
Frequency
47
20
13
32
40
(v)
Class-Interval
19.5 - 24.5
25.5 - 30.5
31.5 - 36.5
37.5 - 42.5
43.5 - 48.5
Frequency
47
20
13
32
40
Question
19
19.
If the sum of the following frequency distribution is
38
,
find the value of 'x'.
Value
Frequency
4
7
5
3
6
4
7
2
8
4
9
3
10
3
11
3
12
6
13
x
(i)
4
(ii)
3
(iii)
2
(iv)
5
(v)
0
Question
20
20.
If the sum of the following frequency distribution is
35
,
find the value of 'x'.
Class-Interval
Frequency
20 - 25
3
26 - 31
6
32 - 37
6
38 - 43
1
44 - 49
x
50 - 55
8
56 - 61
8
(i)
3
(ii)
5
(iii)
0
(iv)
2
(v)
4
Question
21
21.
Given class interval
42
-
44
in exclusive form, its
lower limit is
(i)
43
(ii)
41
(iii)
42
(iv)
40
(v)
45
Question
22
22.
Given class interval
29
-
34
in exclusive form, its
upper limit is
(i)
31
(ii)
33
(iii)
37
(iv)
35
(v)
34
Question
23
23.
Given class interval
10
-
15
in exclusive form, its
class size is
(i)
6
(ii)
5
(iii)
2
(iv)
8
(v)
4
Question
24
24.
Given class interval
29
-
36
in exclusive form, its
class mark is
(i)
33
(ii)
65
2
(iii)
67
2
(iv)
129
4
(v)
63
2
Question
25
25.
Given class interval
24
-
33
in exclusive form, its
mid value is
(i)
113
4
(ii)
59
2
(iii)
55
2
(iv)
29
(v)
57
2
Question
26
26.
If the upper and lower limit of class interval are 34 and 27 respectively, then the class interval is
(i)
26.5
-
34
(ii)
27
-
34.5
(iii)
27
-
34
(iv)
27.5
-
33.5
(v)
26.5
-
34.5
Question
27
27.
If the lower and upper limit of class interval are 15 and 24 respectively, then the class interval is
(i)
14.5
-
24
(ii)
15
-
24
(iii)
14.5
-
24.5
(iv)
15
-
24.5
(v)
15.5
-
23.5
Question
28
28.
The class boundaries of 19 - 27 which is in exclusive form are
(i)
18.5
-
27
(ii)
19
-
27
(iii)
19
-
27.5
(iv)
18.5
-
27.5
(v)
19.5
-
26.5
Question
29
29.
The class boundaries of 21 - 31 which is in inclusive form are
(i)
20
-
32
(ii)
20.5
-
31.5
(iii)
21
-
31
(iv)
20.5
-
32
(v)
20
-
31.5
Question
30
30.
Convert the exclusive form of the class interval 12.5 - 20.5 to inclusive form
(i)
13.5
-
19.5
(ii)
12.5
-
20
(iii)
12.5
-
20.5
(iv)
13
-
20
(v)
13
-
20.5
Question
31
31.
Convert the inclusive form of the class interval 17 - 21 to exclusive form
(i)
16.5
-
21.5
(ii)
17
-
21
(iii)
16
-
21.5
(iv)
16.5
-
22
(v)
16
-
22
Question
32
32.
Convert the discontinuous form of the class interval 20 - 27 to continuous form
(i)
19
-
28
(ii)
19.5
-
28
(iii)
20
-
27
(iv)
19
-
27.5
(v)
19.5
-
27.5
Question
33
33.
Convert the continuous form of the class interval 11.5 - 19.5 to discontinuous form
(i)
12.5
-
18.5
(ii)
12
-
19
(iii)
12
-
19.5
(iv)
11.5
-
19
(v)
11.5
-
19.5
Question
34
34.
Which of the following are true?
a)
The true lower limit of the inclusive form class interval 10 - 20 is 10.
b)
The true lower limit of the exclusive form class interval 10 - 20 is 10.
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,b,d}
(ii)
{a,b}
(iii)
{b,d,e}
(iv)
{a,c,e}
(v)
{c,d}
Question
35
35.
Which of the following class intervals are in inclusive form?
a)
23.5 - 30.5 , 30.5 - 37.5 , 37.5 - 44.5...
b)
24 - 30 , 30 - 36 , 36 - 42,...
c)
45 - 51 , 52 - 58 , 59 - 65,...
d)
24 - 30 , 31 - 37 , 38 - 44,...
e)
42 - 48 , 48 - 54 , 54 - 60...
(i)
{c,d}
(ii)
{e,a,c}
(iii)
{b,d,c}
(iv)
{b,d}
(v)
{a,c}
Question
36
36.
In inclusive form representation, the observation
45
falls in which class?
(i)
30
-
40
(ii)
34
-
44
(iii)
25
-
35
(iv)
46
-
55
(v)
35
-
45
Question
37
37.
In exclusive form representation, the observation
42
falls in which class?
(i)
52
-
62
(ii)
42
-
52
(iii)
47
-
57
(iv)
32
-
42
(v)
37
-
42
Question
38
38.
If the sample data with range 60 has to be divided into 5 class intervals, then the length of the class is
(i)
11
(ii)
9
(iii)
13
(iv)
14
(v)
12
Question
39
39.
If the length of the class is 10, then the number of class intervals needed to represent data with range 40 is
(i)
4
(ii)
3
(iii)
7
(iv)
1
(v)
5
Question
40
40.
The number of classes of class size
10
required to represent
the given random sample in exclusive form
2
6
9
9
10
12
14
14
15
19
19
22
27
36
39
39
40
44
45
47
49
49
(i)
5
(ii)
3
(iii)
6
(iv)
4
(v)
7
Question
41
41.
Which of the following are continuous variables?
a)
Heights of children in a class.
b)
Wages of workers in a factory.
c)
Number of workers in a factory.
d)
Weights of persons in a group.
e)
Number of members in a family.
(i)
{c,a,b}
(ii)
{a,b,d}
(iii)
{c,e,d}
(iv)
{c,a}
(v)
{e,b}
Question
42
42.
Which of the following are discontinuous variables?
a)
Weights of persons in a group.
b)
Heights of children in a class.
c)
Number of workers in a factory.
d)
Wages of workers in a factory.
e)
Number of members in a family.
(i)
{c,e}
(ii)
{b,e}
(iii)
{d,a,c}
(iv)
{b,e,c}
(v)
{a,c}
Question
43
43.
Which of the following class intervals are in exclusive form?
a)
22 - 32 , 32 - 42 , 42 - 52,...
b)
22 - 32 , 33 - 43 , 44 - 54,...
c)
21.5 - 32.5 , 32.5 - 43.5 , 43.5 - 54.5...
d)
52 - 62 , 62 - 72 , 72 - 82...
e)
55 - 65 , 66 - 76 , 77 - 87,...
(i)
{b,e,d}
(ii)
{e,c}
(iii)
{a,c,d}
(iv)
{b,a}
(v)
{b,a,c}
Question
44
44.
The class marks of a frequency distribution are
32.5 , 38.5 , 44.5 , 50.5
.
Find the class size and class intervals
in inclusive form
(i)
6
;
29
-
34
,
35
-
40
,
41
-
46
,
47
-
52
(ii)
6
;
31
-
36
,
37
-
42
,
43
-
48
,
49
-
54
(iii)
5
;
30
-
35
,
35
-
40
,
40
-
45
,
45
-
50
(iv)
6
;
29
-
35
,
35
-
41
,
41
-
47
,
47
-
53
(v)
6
;
30
-
35
,
36
-
41
,
42
-
47
,
48
-
53
Question
45
45.
The class marks of a frequency distribution are
21 , 27 , 33 , 39
.
Find the class size and class intervals
in exclusive form
(i)
6
;
18
-
24
,
24
-
30
,
30
-
36
,
36
-
42
(ii)
6
;
17
-
23
,
23
-
29
,
29
-
35
,
35
-
41
(iii)
6
;
19
-
25
,
25
-
31
,
31
-
37
,
37
-
43
(iv)
7
;
18
-
24
,
25
-
31
,
32
-
38
,
39
-
45
(v)
8
;
17
-
24
,
25
-
32
,
33
-
40
,
41
-
48
Question
46
46.
Which of the following are continuous variables?
a)
Rainfall at a place over a month
b)
Heights of children in a class
c)
Number of players in a team
d)
Population of cities
e)
Number of workers in a factory
(i)
{a,b}
(ii)
{e,c,a}
(iii)
{d,b,a}
(iv)
{c,a}
(v)
{d,b}
Question
47
47.
Which of the following are discrete variables?
a)
Temperature at a place over a month
b)
Number of players in a team
c)
Heights of children in a class
d)
Number of workers in a factory
e)
Weights of persons in a group
(i)
{b,d}
(ii)
{c,d,b}
(iii)
{a,b}
(iv)
{c,d}
(v)
{e,a,b}
Assignment Key
1) (v)
2) (iv)
3) (v)
4) (i)
5) (v)
6) (iv)
7) (ii)
8) (iii)
9) (v)
10) (i)
11) (v)
12) (iv)
13) (v)
14) (v)
15) (iv)
16) (v)
17) (ii)
18) (ii)
19) (ii)
20) (i)
21) (iii)
22) (v)
23) (ii)
24) (ii)
25) (v)
26) (iii)
27) (ii)
28) (ii)
29) (ii)
30) (iv)
31) (i)
32) (v)
33) (ii)
34) (iii)
35) (i)
36) (v)
37) (ii)
38) (v)
39) (i)
40) (i)
41) (ii)
42) (i)
43) (iii)
44) (v)
45) (i)
46) (i)
47) (i)
