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
22 - 27
28 - 33
34 - 39
40 - 45
46 - 51
Frequency
26
23
12
18
16
(i)
7
(ii)
8
(iii)
5
(iv)
4
(v)
6
Question
2
2.
The class size used in the below table is
Class-Interval
38 - 45
45 - 52
52 - 59
59 - 66
66 - 73
73 - 80
80 - 87
87 - 94
Frequency
26
29
12
20
26
24
27
6
(i)
10
(ii)
5
(iii)
7
(iv)
8
(v)
6
Question
3
3.
The class mark of the class with frequency x is
Class-Interval
Frequency
14 - 19
8
20 - 25
8
26 - 31
x
32 - 37
22
38 - 43
15
(i)
57
2
(ii)
59
2
(iii)
55
2
(iv)
29
(v)
113
4
Question
4
4.
The class mark of the class with frequency x is
Class-Interval
Frequency
5 - 10
8
10 - 15
19
15 - 20
x
20 - 25
5
25 - 30
30
(i)
69
4
(ii)
18
(iii)
35
2
(iv)
33
2
(v)
37
2
Question
5
5.
The mid value of the class with frequency x is
Class-Interval
Frequency
17 - 22
13
23 - 28
7
29 - 34
26
35 - 40
x
41 - 46
14
(i)
149
4
(ii)
73
2
(iii)
38
(iv)
77
2
(v)
75
2
Question
6
6.
The mid value of the class with frequency x is
Class-Interval
Frequency
14 - 24
20
24 - 34
22
34 - 44
x
44 - 54
19
54 - 64
2
(i)
36
(ii)
39
(iii)
42
(iv)
40
(v)
38
Question
7
7.
The class boundaries of the class with frequency x is
Class-Interval
Frequency
26 - 33
21
34 - 41
18
42 - 49
20
50 - 57
2
58 - 65
x
(i)
57.5
-
66
(ii)
58
-
65
(iii)
57
-
65.5
(iv)
57.5
-
65.5
(v)
57
-
66
Question
8
8.
The class boundaries of the class with frequency x is
Class-Interval
Frequency
42 - 48
x
48 - 54
24
54 - 60
7
60 - 66
24
66 - 72
23
(i)
41.5
-
48
(ii)
42
-
48
(iii)
42
-
48.5
(iv)
41.5
-
48.5
(v)
42.5
-
47.5
Question
9
9.
The true lower limit and true upper limit of the class with frequency x is
Class-Interval
Frequency
22 - 30
27
31 - 39
15
40 - 48
7
49 - 57
7
58 - 66
x
(i)
57
-
66.5
(ii)
58
-
66
(iii)
57.5
-
66.5
(iv)
57.5
-
67
(v)
57
-
67
Question
10
10.
The true lower limit and true upper limit of the class with frequency x is
Class-Interval
Frequency
43 - 51
3
51 - 59
x
59 - 67
21
67 - 75
3
75 - 83
20
(i)
51
-
59
(ii)
50.5
-
59
(iii)
50.5
-
59.5
(iv)
51.5
-
58.5
(v)
51
-
59.5
Question
11
11.
The lower limit of the class with frequency x is
Class-Interval
Frequency
44 - 52
11
53 - 61
16
62 - 70
x
71 - 79
3
80 - 88
11
(i)
59
(ii)
64
(iii)
63
(iv)
61
(v)
62
Question
12
12.
The upper limit of the class with frequency x is
Class-Interval
Frequency
49 - 56
10
56 - 63
19
63 - 70
x
70 - 77
6
77 - 84
26
(i)
70
(ii)
69
(iii)
67
(iv)
71
(v)
72
Question
13
13.
If some random sample data is arranged in a frequency distribution table in
inclusive form
with
2
-
7
as the first class,
then the observation
26
falls in which class?
(i)
25.5
-
31.5
(ii)
27
-
32
(iii)
26.5
-
30.5
(iv)
26
-
31
(v)
25
-
30
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
25
falls in which class?
(i)
22
-
31
(ii)
21
-
30
(iii)
21.5
-
29.5
(iv)
20.5
-
30.5
(v)
20
-
29
Question
15
15.
Find the sum of frequencies for the given table
Value
16
35
43
48
50
56
60
72
73
77
Frequency
1
1
1
1
1
1
1
1
1
1
(i)
12
(ii)
11
(iii)
9
(iv)
8
(v)
10
Question
16
16.
Given class interval table, find the sum of frequencies.
Class-Interval
40 - 45
46 - 51
52 - 57
58 - 63
64 - 69
Frequency
19
19
3
11
19
(i)
72
(ii)
71
(iii)
70
(iv)
73
(v)
68
Question
17
17.
Given class interval table, find the sum of frequencies.
Class-Interval
43 - 52
52 - 61
61 - 70
70 - 79
79 - 88
88 - 97
Frequency
27
11
30
5
24
12
(i)
109
(ii)
107
(iii)
111
(iv)
108
(v)
110
Question
18
18.
Given table in inclusive form, convert it into exclusive form.
Class-Interval
19 - 27
28 - 36
37 - 45
46 - 54
55 - 63
Frequency
36
49
39
25
34
(i)
Class-Interval
19 - 27
27 - 35
35 - 43
43 - 51
51 - 59
Frequency
10
32
11
13
13
(ii)
Class-Interval
18.5 - 27.5
27.5 - 36.5
36.5 - 45.5
45.5 - 54.5
54.5 - 63.5
Frequency
36
49
39
25
34
(iii)
Class-Interval
19.5 - 27.5
28.5 - 36.5
37.5 - 45.5
46.5 - 54.5
55.5 - 63.5
Frequency
36
49
39
25
34
(iv)
Class-Interval
18.5 - 27
27.5 - 36
36.5 - 45
45.5 - 54
54.5 - 63
Frequency
36
49
39
25
34
(v)
Class-Interval
18.5 - 26.5
27.5 - 35.5
36.5 - 44.5
45.5 - 53.5
54.5 - 62.5
Frequency
36
49
39
25
34
Question
19
19.
If the sum of the following frequency distribution is
37
,
find the value of 'x'.
Value
Frequency
4
6
5
5
6
x
7
3
8
1
9
3
10
3
11
2
12
7
13
4
(i)
4
(ii)
2
(iii)
6
(iv)
3
(v)
1
Question
20
20.
If the sum of the following frequency distribution is
44
,
find the value of 'x'.
Class-Interval
Frequency
10 - 19
10
20 - 29
4
30 - 39
7
40 - 49
x
50 - 59
7
60 - 69
6
(i)
11
(ii)
8
(iii)
10
(iv)
12
(v)
9
Question
21
21.
Given class interval
26
-
36
in exclusive form, its
lower limit is
(i)
24
(ii)
29
(iii)
26
(iv)
25
(v)
27
Question
22
22.
Given class interval
15
-
22
in exclusive form, its
upper limit is
(i)
20
(ii)
22
(iii)
23
(iv)
21
(v)
24
Question
23
23.
Given class interval
21
-
27
in exclusive form, its
class size is
(i)
6
(ii)
7
(iii)
4
(iv)
5
(v)
8
Question
24
24.
Given class interval
28
-
37
in exclusive form, its
class mark is
(i)
65
2
(ii)
67
2
(iii)
33
(iv)
63
2
(v)
129
4
Question
25
25.
Given class interval
18
-
28
in exclusive form, its
mid value is
(i)
26
(ii)
23
(iii)
20
(iv)
24
(v)
22
Question
26
26.
If the upper and lower limit of class interval are 19 and 17 respectively, then the class interval is
(i)
17
-
19.5
(ii)
16.5
-
19
(iii)
17.5
-
18.5
(iv)
16.5
-
19.5
(v)
17
-
19
Question
27
27.
If the lower and upper limit of class interval are 19 and 24 respectively, then the class interval is
(i)
18.5
-
24
(ii)
19
-
24.5
(iii)
19.5
-
23.5
(iv)
19
-
24
(v)
18.5
-
24.5
Question
28
28.
The class boundaries of 11 - 18 which is in exclusive form are
(i)
11.5
-
17.5
(ii)
10.5
-
18.5
(iii)
11
-
18
(iv)
10.5
-
18
(v)
11
-
18.5
Question
29
29.
The class boundaries of 37 - 46 which is in inclusive form are
(i)
36
-
46.5
(ii)
36.5
-
47
(iii)
36.5
-
46.5
(iv)
37
-
46
(v)
36
-
47
Question
30
30.
Convert the exclusive form of the class interval 34.5 - 41.5 to inclusive form
(i)
34.5
-
41.5
(ii)
35
-
41.5
(iii)
35.5
-
40.5
(iv)
35
-
41
(v)
34.5
-
41
Question
31
31.
Convert the inclusive form of the class interval 39 - 49 to exclusive form
(i)
38
-
50
(ii)
38.5
-
49.5
(iii)
38.5
-
50
(iv)
39
-
49
(v)
38
-
49.5
Question
32
32.
Convert the discontinuous form of the class interval 10 - 12 to continuous form
(i)
9.5
-
12.5
(ii)
10
-
12
(iii)
9.5
-
13
(iv)
9
-
12.5
(v)
9
-
13
Question
33
33.
Convert the continuous form of the class interval 21.5 - 24.5 to discontinuous form
(i)
21.5
-
24.5
(ii)
22
-
24
(iii)
21.5
-
24
(iv)
22.5
-
23.5
(v)
22
-
24.5
Question
34
34.
Which of the following are true?
a)
The true lower limit of the exclusive form class interval 50 - 60 is 50.
b)
The difference between the true upper limit and true lower limit is called the class mark.
c)
Each numerical figure in a data set is called an observation.
d)
The number of times a particular observation occurs is called its frequency.
e)
The true lower limit of the inclusive form class interval 50 - 60 is 50.
(i)
{a,c,d}
(ii)
{b,e,d}
(iii)
{b,a,c}
(iv)
{e,c}
(v)
{b,a}
Question
35
35.
Which of the following class intervals are in inclusive form?
a)
50 - 58 , 58 - 66 , 66 - 74...
b)
26 - 34 , 35 - 43 , 44 - 52,...
c)
25.5 - 34.5 , 34.5 - 43.5 , 43.5 - 52.5...
d)
26 - 34 , 34 - 42 , 42 - 50,...
e)
53 - 61 , 62 - 70 , 71 - 79,...
(i)
{c,e}
(ii)
{d,a,b}
(iii)
{c,e,b}
(iv)
{b,e}
(v)
{a,b}
Question
36
36.
In inclusive form representation, the observation
55
falls in which class?
(i)
56
-
65
(ii)
40
-
50
(iii)
45
-
55
(iv)
35
-
45
(v)
44
-
54
Question
37
37.
In exclusive form representation, the observation
36
falls in which class?
(i)
41
-
51
(ii)
46
-
56
(iii)
26
-
36
(iv)
31
-
36
(v)
36
-
46
Question
38
38.
If the sample data with range 70 has to be divided into 9 class intervals, then the length of the class is
(i)
9
(ii)
7
(iii)
5
(iv)
8
(v)
10
Question
39
39.
If the length of the class is 4, then the number of class intervals needed to represent data with range 30 is
(i)
5
(ii)
8
(iii)
10
(iv)
7
(v)
9
Question
40
40.
The number of classes of class size
4
required to represent
the given random sample in exclusive form
1
5
8
8
13
15
17
18
22
25
27
27
28
29
30
30
30
32
34
36
38
42
(i)
10
(ii)
12
(iii)
9
(iv)
13
(v)
11
Question
41
41.
Which of the following are continuous variables?
a)
Number of workers in a factory.
b)
Wages of workers in a factory.
c)
Weights of persons in a group.
d)
Number of members in a family.
e)
Heights of children in a class.
(i)
{a,d,e}
(ii)
{a,b,c}
(iii)
{d,c}
(iv)
{a,b}
(v)
{b,c,e}
Question
42
42.
Which of the following are discontinuous variables?
a)
Heights of children in a class.
b)
Weights of persons in a group.
c)
Number of workers in a factory.
d)
Number of members in a family.
e)
Wages of workers in a factory.
(i)
{e,a,c}
(ii)
{b,d,c}
(iii)
{a,c}
(iv)
{b,d}
(v)
{c,d}
Question
43
43.
Which of the following class intervals are in exclusive form?
a)
22 - 29 , 30 - 37 , 38 - 45,...
b)
46 - 53 , 54 - 61 , 62 - 69,...
c)
22 - 29 , 29 - 36 , 36 - 43,...
d)
21.5 - 29.5 , 29.5 - 37.5 , 37.5 - 45.5...
e)
43 - 50 , 50 - 57 , 57 - 64...
(i)
{c,d,e}
(ii)
{a,c}
(iii)
{a,c,d}
(iv)
{a,b,e}
(v)
{b,d}
Question
44
44.
The class marks of a frequency distribution are
18.5 , 24.5 , 30.5 , 36.5
.
Find the class size and class intervals
in inclusive form
(i)
6
;
16
-
21
,
22
-
27
,
28
-
33
,
34
-
39
(ii)
6
;
15
-
20
,
21
-
26
,
27
-
32
,
33
-
38
(iii)
5
;
16
-
21
,
21
-
26
,
26
-
31
,
31
-
36
(iv)
6
;
15
-
21
,
21
-
27
,
27
-
33
,
33
-
39
(v)
6
;
17
-
22
,
23
-
28
,
29
-
34
,
35
-
40
Question
45
45.
The class marks of a frequency distribution are
33 , 39 , 45 , 51
.
Find the class size and class intervals
in exclusive form
(i)
8
;
29
-
36
,
37
-
44
,
45
-
52
,
53
-
60
(ii)
6
;
30
-
36
,
36
-
42
,
42
-
48
,
48
-
54
(iii)
6
;
29
-
35
,
35
-
41
,
41
-
47
,
47
-
53
(iv)
6
;
31
-
37
,
37
-
43
,
43
-
49
,
49
-
55
(v)
7
;
30
-
36
,
37
-
43
,
44
-
50
,
51
-
57
Question
46
46.
Which of the following are continuous variables?
a)
Number of workers in a factory
b)
Weights of persons in a group
c)
Number of players in a team
d)
Number of members in a family
e)
Wages of workers in a factory
(i)
{a,b}
(ii)
{d,a,b}
(iii)
{c,e}
(iv)
{b,e}
(v)
{c,e,b}
Question
47
47.
Which of the following are discrete variables?
a)
Rainfall at a place over a month
b)
Wages of workers in a factory
c)
Temperature at a place over a month
d)
Number of workers in a factory
e)
Marks obtained by student in a particular subject
(i)
{b,e,d}
(ii)
{a,d}
(iii)
{d,e}
(iv)
{c,a,d}
(v)
{b,e}
Assignment Key
1) (v)
2) (iii)
3) (i)
4) (iii)
5) (v)
6) (ii)
7) (iv)
8) (ii)
9) (iii)
10) (i)
11) (v)
12) (i)
13) (iv)
14) (ii)
15) (v)
16) (ii)
17) (i)
18) (ii)
19) (iv)
20) (iii)
21) (iii)
22) (ii)
23) (i)
24) (i)
25) (ii)
26) (v)
27) (iv)
28) (iii)
29) (iii)
30) (iv)
31) (ii)
32) (i)
33) (ii)
34) (i)
35) (iv)
36) (iii)
37) (v)
38) (iv)
39) (ii)
40) (v)
41) (v)
42) (v)
43) (i)
44) (i)
45) (ii)
46) (iv)
47) (iii)
