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
44 - 50
51 - 57
58 - 64
65 - 71
Frequency
18
2
25
19
(i)
7
(ii)
6
(iii)
5
(iv)
8
(v)
9
Question
2
2.
The class size used in the below table is
Class-Interval
22 - 32
32 - 42
42 - 52
52 - 62
62 - 72
72 - 82
82 - 92
Frequency
19
29
1
29
20
12
24
(i)
11
(ii)
10
(iii)
7
(iv)
9
(v)
12
Question
3
3.
The class mark of the class with frequency x is
Class-Interval
Frequency
6 - 16
16
17 - 27
27
28 - 38
23
39 - 49
26
50 - 60
x
(i)
56
(ii)
52
(iii)
58
(iv)
55
(v)
54
Question
4
4.
The class mark of the class with frequency x is
Class-Interval
Frequency
16 - 21
12
21 - 26
23
26 - 31
24
31 - 36
25
36 - 41
x
(i)
79
2
(ii)
75
2
(iii)
153
4
(iv)
39
(v)
77
2
Question
5
5.
The mid value of the class with frequency x is
Class-Interval
Frequency
9 - 14
27
15 - 20
x
21 - 26
25
27 - 32
10
33 - 38
2
(i)
69
4
(ii)
35
2
(iii)
37
2
(iv)
33
2
(v)
18
Question
6
6.
The mid value of the class with frequency x is
Class-Interval
Frequency
9 - 14
26
14 - 19
8
19 - 24
19
24 - 29
7
29 - 34
x
(i)
63
2
(ii)
65
2
(iii)
32
(iv)
61
2
(v)
125
4
Question
7
7.
The class boundaries of the class with frequency x is
Class-Interval
Frequency
48 - 54
24
55 - 61
12
62 - 68
8
69 - 75
10
76 - 82
x
(i)
76
-
82
(ii)
75.5
-
83
(iii)
75
-
82.5
(iv)
75.5
-
82.5
(v)
75
-
83
Question
8
8.
The class boundaries of the class with frequency x is
Class-Interval
Frequency
18 - 25
x
25 - 32
14
32 - 39
25
39 - 46
12
46 - 53
18
(i)
17.5
-
25.5
(ii)
18
-
25
(iii)
18
-
25.5
(iv)
18.5
-
24.5
(v)
17.5
-
25
Question
9
9.
The true lower limit and true upper limit of the class with frequency x is
Class-Interval
Frequency
43 - 51
20
52 - 60
x
61 - 69
3
70 - 78
7
79 - 87
19
(i)
51.5
-
60.5
(ii)
51
-
60.5
(iii)
51
-
61
(iv)
52
-
60
(v)
51.5
-
61
Question
10
10.
The true lower limit and true upper limit of the class with frequency x is
Class-Interval
Frequency
22 - 28
3
28 - 34
6
34 - 40
26
40 - 46
x
46 - 52
29
(i)
40
-
46.5
(ii)
40
-
46
(iii)
39.5
-
46
(iv)
39.5
-
46.5
(v)
40.5
-
45.5
Question
11
11.
The lower limit of the class with frequency x is
Class-Interval
Frequency
32 - 41
10
42 - 51
9
52 - 61
x
62 - 71
10
72 - 81
5
(i)
55
(ii)
53
(iii)
51
(iv)
52
(v)
50
Question
12
12.
The upper limit of the class with frequency x is
Class-Interval
Frequency
15 - 25
6
25 - 35
30
35 - 45
x
45 - 55
25
55 - 65
11
(i)
42
(ii)
46
(iii)
45
(iv)
47
(v)
44
Question
13
13.
If some random sample data is arranged in a frequency distribution table in
inclusive form
with
1
-
7
as the first class,
then the observation
19
falls in which class?
(i)
14
-
20
(ii)
15.5
-
20.5
(iii)
15
-
21
(iv)
16
-
22
(v)
14.5
-
21.5
Question
14
14.
If some random sample data is arranged in a frequency distribution table in
exclusive form
with
1
-
11
as the first class,
then the observation
33
falls in which class?
(i)
30
-
40
(ii)
31
-
41
(iii)
31.5
-
40.5
(iv)
30.5
-
41.5
(v)
32
-
42
Question
15
15.
Find the sum of frequencies for the given table
Value
14
19
29
31
37
42
53
60
77
89
Frequency
1
1
1
1
1
1
1
1
1
1
(i)
11
(ii)
8
(iii)
12
(iv)
9
(v)
10
Question
16
16.
Given class interval table, find the sum of frequencies.
Class-Interval
27 - 36
37 - 46
47 - 56
57 - 66
67 - 76
77 - 86
Frequency
6
23
30
29
29
19
(i)
136
(ii)
135
(iii)
134
(iv)
137
(v)
138
Question
17
17.
Given class interval table, find the sum of frequencies.
Class-Interval
48 - 58
58 - 68
68 - 78
78 - 88
Frequency
17
16
16
25
(i)
75
(ii)
77
(iii)
72
(iv)
74
(v)
73
Question
18
18.
Given table in inclusive form, convert it into exclusive form.
Class-Interval
6 - 15
16 - 25
26 - 35
36 - 45
46 - 55
56 - 65
Frequency
18
28
39
16
47
35
(i)
Class-Interval
6.5 - 15.5
16.5 - 25.5
26.5 - 35.5
36.5 - 45.5
46.5 - 55.5
56.5 - 65.5
Frequency
18
28
39
16
47
35
(ii)
Class-Interval
5.5 - 15.5
15.5 - 25.5
25.5 - 35.5
35.5 - 45.5
45.5 - 55.5
55.5 - 65.5
Frequency
18
28
39
16
47
35
(iii)
Class-Interval
5.5 - 15
15.5 - 25
25.5 - 35
35.5 - 45
45.5 - 55
55.5 - 65
Frequency
18
28
39
16
47
35
(iv)
Class-Interval
6 - 15
15 - 24
24 - 33
33 - 42
42 - 51
51 - 60
Frequency
36
35
45
10
37
29
(v)
Class-Interval
5.5 - 14.5
15.5 - 24.5
25.5 - 34.5
35.5 - 44.5
45.5 - 54.5
55.5 - 64.5
Frequency
18
28
39
16
47
35
Question
19
19.
If the sum of the following frequency distribution is
39
,
find the value of 'x'.
Value
Frequency
2
7
3
x
4
5
5
3
6
8
8
5
9
3
10
3
(i)
5
(ii)
6
(iii)
8
(iv)
4
(v)
3
Question
20
20.
If the sum of the following frequency distribution is
30
,
find the value of 'x'.
Class-Interval
Frequency
10 - 15
10
16 - 21
8
22 - 27
1
28 - 33
x
34 - 39
2
(i)
8
(ii)
9
(iii)
12
(iv)
10
(v)
7
Question
21
21.
Given class interval
34
-
38
in exclusive form, its
lower limit is
(i)
33
(ii)
37
(iii)
31
(iv)
35
(v)
34
Question
22
22.
Given class interval
40
-
50
in exclusive form, its
upper limit is
(i)
50
(ii)
53
(iii)
51
(iv)
49
(v)
47
Question
23
23.
Given class interval
22
-
27
in exclusive form, its
class size is
(i)
6
(ii)
8
(iii)
3
(iv)
4
(v)
5
Question
24
24.
Given class interval
39
-
46
in exclusive form, its
class mark is
(i)
83
2
(ii)
169
4
(iii)
87
2
(iv)
85
2
(v)
43
Question
25
25.
Given class interval
25
-
31
in exclusive form, its
mid value is
(i)
31
(ii)
29
(iii)
25
(iv)
28
(v)
27
Question
26
26.
If the upper and lower limit of class interval are 51 and 48 respectively, then the class interval is
(i)
48.5
-
50.5
(ii)
48
-
51.5
(iii)
48
-
51
(iv)
47.5
-
51
(v)
47.5
-
51.5
Question
27
27.
If the lower and upper limit of class interval are 30 and 34 respectively, then the class interval is
(i)
29.5
-
34.5
(ii)
29.5
-
34
(iii)
30
-
34
(iv)
30
-
34.5
(v)
30.5
-
33.5
Question
28
28.
The class boundaries of 13 - 15 which is in exclusive form are
(i)
13
-
15
(ii)
12.5
-
15
(iii)
12.5
-
15.5
(iv)
13
-
15.5
(v)
13.5
-
14.5
Question
29
29.
The class boundaries of 15 - 18 which is in inclusive form are
(i)
14.5
-
19
(ii)
14.5
-
18.5
(iii)
14
-
19
(iv)
14
-
18.5
(v)
15
-
18
Question
30
30.
Convert the exclusive form of the class interval 36.5 - 47.5 to inclusive form
(i)
37
-
47
(ii)
37.5
-
46.5
(iii)
36.5
-
47
(iv)
36.5
-
47.5
(v)
37
-
47.5
Question
31
31.
Convert the inclusive form of the class interval 18 - 22 to exclusive form
(i)
18
-
22
(ii)
17.5
-
23
(iii)
17
-
23
(iv)
17
-
22.5
(v)
17.5
-
22.5
Question
32
32.
Convert the discontinuous form of the class interval 43 - 46 to continuous form
(i)
42
-
46.5
(ii)
42.5
-
46.5
(iii)
42
-
47
(iv)
42.5
-
47
(v)
43
-
46
Question
33
33.
Convert the continuous form of the class interval 31.5 - 41.5 to discontinuous form
(i)
31.5
-
41
(ii)
32
-
41
(iii)
32.5
-
40.5
(iv)
31.5
-
41.5
(v)
32
-
41.5
Question
34
34.
Which of the following are true?
a)
The difference between the true upper limit and true lower limit is called the class mark.
b)
The number of times a particular observation occurs is called its frequency.
c)
The true lower limit of the exclusive form class interval 20 - 30 is 20.
d)
Each numerical figure in a data set is called an observation.
e)
The true lower limit of the inclusive form class interval 20 - 30 is 20.
(i)
{e,c}
(ii)
{a,b}
(iii)
{a,e,d}
(iv)
{a,b,c}
(v)
{b,c,d}
Question
35
35.
Which of the following class intervals are in inclusive form?
a)
28 - 38 , 39 - 49 , 50 - 60,...
b)
27.5 - 38.5 , 38.5 - 49.5 , 49.5 - 60.5...
c)
61 - 71 , 72 - 82 , 83 - 93,...
d)
58 - 68 , 68 - 78 , 78 - 88...
e)
28 - 38 , 38 - 48 , 48 - 58,...
(i)
{b,a}
(ii)
{d,c,a}
(iii)
{a,c}
(iv)
{d,c}
(v)
{e,b,a}
Question
36
36.
In inclusive form representation, the observation
58
falls in which class?
(i)
48
-
58
(ii)
59
-
68
(iii)
43
-
53
(iv)
47
-
57
(v)
38
-
48
Question
37
37.
In exclusive form representation, the observation
21
falls in which class?
(i)
11
-
21
(ii)
21
-
31
(iii)
16
-
21
(iv)
31
-
41
(v)
26
-
36
Question
38
38.
If the sample data with range 40 has to be divided into 10 class intervals, then the length of the class is
(i)
5
(ii)
6
(iii)
4
(iv)
3
(v)
1
Question
39
39.
If the length of the class is 4, then the number of class intervals needed to represent data with range 40 is
(i)
7
(ii)
13
(iii)
11
(iv)
10
(v)
9
Question
40
40.
The number of classes of class size
9
required to represent
the given random sample in exclusive form
3
3
8
9
9
11
11
12
24
26
32
35
37
40
40
41
41
42
44
46
50
(i)
6
(ii)
5
(iii)
7
(iv)
9
(v)
3
Question
41
41.
Which of the following are continuous variables?
a)
Number of workers in a factory.
b)
Number of members in a family.
c)
Weights of persons in a group.
d)
Heights of children in a class.
e)
Wages of workers in a factory.
(i)
{c,d,e}
(ii)
{b,d}
(iii)
{a,b,e}
(iv)
{a,c}
(v)
{a,c,d}
Question
42
42.
Which of the following are discontinuous variables?
a)
Wages of workers in a factory.
b)
Heights of children in a class.
c)
Number of workers in a factory.
d)
Number of members in a family.
e)
Weights of persons in a group.
(i)
{b,d}
(ii)
{c,d}
(iii)
{a,c}
(iv)
{b,d,c}
(v)
{e,a,c}
Question
43
43.
Which of the following class intervals are in exclusive form?
a)
43 - 50 , 51 - 58 , 59 - 66,...
b)
18.5 - 26.5 , 26.5 - 34.5 , 34.5 - 42.5...
c)
19 - 26 , 27 - 34 , 35 - 42,...
d)
40 - 47 , 47 - 54 , 54 - 61...
e)
19 - 26 , 26 - 33 , 33 - 40,...
(i)
{a,b}
(ii)
{a,b,d}
(iii)
{c,d}
(iv)
{b,d,e}
(v)
{a,c,e}
Question
44
44.
The class marks of a frequency distribution are
18 , 29 , 40 , 51
.
Find the class size and class intervals
in inclusive form
(i)
11
;
14
-
24
,
25
-
35
,
36
-
46
,
47
-
57
(ii)
11
;
12
-
23
,
23
-
34
,
34
-
45
,
45
-
56
(iii)
11
;
13
-
23
,
24
-
34
,
35
-
45
,
46
-
56
(iv)
11
;
12
-
22
,
23
-
33
,
34
-
44
,
45
-
55
(v)
10
;
13
-
23
,
23
-
33
,
33
-
43
,
43
-
53
Question
45
45.
The class marks of a frequency distribution are
17 , 25 , 33 , 41
.
Find the class size and class intervals
in exclusive form
(i)
8
;
12
-
20
,
20
-
28
,
28
-
36
,
36
-
44
(ii)
8
;
14
-
22
,
22
-
30
,
30
-
38
,
38
-
46
(iii)
9
;
13
-
21
,
22
-
30
,
31
-
39
,
40
-
48
(iv)
8
;
13
-
21
,
21
-
29
,
29
-
37
,
37
-
45
(v)
10
;
12
-
21
,
22
-
31
,
32
-
41
,
42
-
51
Question
46
46.
Which of the following are continuous variables?
a)
Marks obtained by student in a particular subject
b)
Weights of persons in a group
c)
Heights of children in a class
d)
Number of members in a family
e)
Number of workers in a factory
(i)
{d,c}
(ii)
{e,a,b}
(iii)
{b,c}
(iv)
{d,c,b}
(v)
{a,b}
Question
47
47.
Which of the following are discrete variables?
a)
Number of members in a family
b)
Heights of children in a class
c)
Temperature at a place over a month
d)
Weights of persons in a group
e)
Number of workers in a factory
(i)
{a,e}
(ii)
{b,a}
(iii)
{c,e}
(iv)
{d,b,a}
(v)
{c,e,a}
Assignment Key
1) (i)
2) (ii)
3) (iv)
4) (v)
5) (ii)
6) (i)
7) (iv)
8) (ii)
9) (i)
10) (ii)
11) (iv)
12) (iii)
13) (iii)
14) (ii)
15) (v)
16) (i)
17) (iv)
18) (ii)
19) (i)
20) (ii)
21) (v)
22) (i)
23) (v)
24) (iv)
25) (iv)
26) (iii)
27) (iii)
28) (i)
29) (ii)
30) (i)
31) (v)
32) (ii)
33) (ii)
34) (v)
35) (iii)
36) (i)
37) (ii)
38) (iii)
39) (iv)
40) (i)
41) (i)
42) (ii)
43) (iv)
44) (iii)
45) (iv)
46) (iii)
47) (i)
