EduSahara™ Assignment
Name : Class Interval Table Concepts
Chapter : Statistics
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
Given class interval
25
-
32
in exclusive form, its
lower limit is
(i)
22
(ii)
25
(iii)
26
(iv)
24
(v)
27
Question
2
2.
Given class interval
22
-
25
in exclusive form, its
upper limit is
(i)
24
(ii)
27
(iii)
26
(iv)
25
(v)
22
Question
3
3.
Given class interval
45
-
52
in exclusive form, its
class size is
(i)
4
(ii)
8
(iii)
10
(iv)
7
(v)
6
Question
4
4.
Given class interval
47
-
49
in exclusive form, its
class mark is
(i)
45
(ii)
49
(iii)
47
(iv)
48
(v)
50
Question
5
5.
Given class interval
37
-
46
in exclusive form, its
mid value is
(i)
42
(ii)
165
4
(iii)
81
2
(iv)
85
2
(v)
83
2
Question
6
6.
If the upper and lower limit of class interval are 32 and 25 respectively, then the class interval is
(i)
24.5
-
32
(ii)
25
-
32.5
(iii)
24.5
-
32.5
(iv)
25.5
-
31.5
(v)
25
-
32
Question
7
7.
If the lower and upper limit of class interval are 11 and 17 respectively, then the class interval is
(i)
11.5
-
16.5
(ii)
11
-
17.5
(iii)
10.5
-
17.5
(iv)
11
-
17
(v)
10.5
-
17
Question
8
8.
The class boundaries of 26 - 33 which is in exclusive form are
(i)
26
-
33.5
(ii)
26.5
-
32.5
(iii)
25.5
-
33.5
(iv)
25.5
-
33
(v)
26
-
33
Question
9
9.
The class boundaries of 38 - 41 which is in inclusive form are
(i)
37
-
42
(ii)
37.5
-
42
(iii)
37
-
41.5
(iv)
38
-
41
(v)
37.5
-
41.5
Question
10
10.
Convert the exclusive form of the class interval 22.5 - 29.5 to inclusive form
(i)
23.5
-
28.5
(ii)
22.5
-
29.5
(iii)
22.5
-
29
(iv)
23
-
29.5
(v)
23
-
29
Question
11
11.
Convert the inclusive form of the class interval 37 - 45 to exclusive form
(i)
36
-
46
(ii)
36.5
-
45.5
(iii)
37
-
45
(iv)
36
-
45.5
(v)
36.5
-
46
Question
12
12.
Convert the discontinuous form of the class interval 25 - 27 to continuous form
(i)
24.5
-
27.5
(ii)
25
-
27
(iii)
24
-
28
(iv)
24.5
-
28
(v)
24
-
27.5
Question
13
13.
Convert the continuous form of the class interval 42.5 - 51.5 to discontinuous form
(i)
43.5
-
50.5
(ii)
43
-
51.5
(iii)
42.5
-
51
(iv)
42.5
-
51.5
(v)
43
-
51
Question
14
14.
The class size used in the below table is
Class-Interval
24 - 32
33 - 41
42 - 50
51 - 59
Frequency
20
29
3
6
(i)
11
(ii)
6
(iii)
10
(iv)
9
(v)
8
Question
15
15.
The class size used in the below table is
Class-Interval
39 - 49
49 - 59
59 - 69
69 - 79
79 - 89
89 - 99
99 - 109
Frequency
4
13
22
15
3
15
22
(i)
11
(ii)
10
(iii)
7
(iv)
9
(v)
13
Question
16
16.
Which of the following are true?
a)
The true lower limit of the exclusive form class interval 30 - 40 is 30.
b)
The true lower limit of the inclusive form class interval 30 - 40 is 30.
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 difference between the true upper limit and true lower limit is called the class mark.
(i)
{e,c}
(ii)
{a,c,d}
(iii)
{b,a,c}
(iv)
{b,a}
(v)
{b,e,d}
Question
17
17.
Which of the following class intervals are in inclusive form?
a)
12 - 17 , 18 - 23 , 24 - 29,...
b)
30 - 35 , 36 - 41 , 42 - 47,...
c)
27 - 32 , 32 - 37 , 37 - 42...
d)
12 - 17 , 17 - 22 , 22 - 27,...
e)
11.5 - 17.5 , 17.5 - 23.5 , 23.5 - 29.5...
(i)
{a,b}
(ii)
{d,b}
(iii)
{e,c,a}
(iv)
{d,b,a}
(v)
{c,a}
Question
18
18.
In inclusive form representation, the observation
41
falls in which class?
(i)
42
-
51
(ii)
30
-
40
(iii)
31
-
41
(iv)
26
-
36
(v)
21
-
31
Question
19
19.
In exclusive form representation, the observation
20
falls in which class?
(i)
25
-
35
(ii)
10
-
20
(iii)
15
-
20
(iv)
30
-
40
(v)
20
-
30
Question
20
20.
The class mark of the class with frequency x is
Class-Interval
Frequency
8 - 13
1
14 - 19
3
20 - 25
26
26 - 31
23
32 - 37
x
(i)
35
(ii)
137
4
(iii)
67
2
(iv)
69
2
(v)
71
2
Question
21
21.
The class mark of the class with frequency x is
Class-Interval
Frequency
1 - 11
17
11 - 21
x
21 - 31
3
31 - 41
17
41 - 51
2
(i)
15
(ii)
16
(iii)
17
(iv)
19
(v)
13
Question
22
22.
The mid value of the class with frequency x is
Class-Interval
Frequency
10 - 20
4
21 - 31
29
32 - 42
30
43 - 53
22
54 - 64
x
(i)
58
(ii)
59
(iii)
60
(iv)
56
(v)
62
Question
23
23.
The mid value of the class with frequency x is
Class-Interval
Frequency
14 - 19
13
19 - 24
10
24 - 29
17
29 - 34
x
34 - 39
21
(i)
63
2
(ii)
65
2
(iii)
125
4
(iv)
61
2
(v)
32
Question
24
24.
The class boundaries of the class with frequency x is
Class-Interval
Frequency
20 - 27
11
28 - 35
1
36 - 43
x
44 - 51
2
52 - 59
24
(i)
35.5
-
43.5
(ii)
36
-
43
(iii)
35.5
-
44
(iv)
35
-
44
(v)
35
-
43.5
Question
25
25.
The class boundaries of the class with frequency x is
Class-Interval
Frequency
28 - 34
24
34 - 40
x
40 - 46
2
46 - 52
11
52 - 58
10
(i)
34
-
40.5
(ii)
34
-
40
(iii)
33.5
-
40
(iv)
34.5
-
39.5
(v)
33.5
-
40.5
Question
26
26.
The true lower limit and true upper limit of the class with frequency x is
Class-Interval
Frequency
11 - 18
3
19 - 26
16
27 - 34
18
35 - 42
x
43 - 50
25
(i)
34.5
-
42.5
(ii)
34
-
43
(iii)
34.5
-
43
(iv)
35
-
42
(v)
34
-
42.5
Question
27
27.
The true lower limit and true upper limit of the class with frequency x is
Class-Interval
Frequency
45 - 52
26
52 - 59
16
59 - 66
x
66 - 73
7
73 - 80
1
(i)
58.5
-
66.5
(ii)
59
-
66
(iii)
59
-
66.5
(iv)
59.5
-
65.5
(v)
58.5
-
66
Question
28
28.
The lower limit of the class with frequency x is
Class-Interval
Frequency
37 - 46
5
47 - 56
3
57 - 66
x
67 - 76
28
77 - 86
26
(i)
59
(ii)
57
(iii)
55
(iv)
56
(v)
58
Question
29
29.
The upper limit of the class with frequency x is
Class-Interval
Frequency
33 - 41
29
41 - 49
22
49 - 57
x
57 - 65
23
65 - 73
29
(i)
57
(ii)
58
(iii)
59
(iv)
56
(v)
55
Question
30
30.
If the sample data with range 60 has to be divided into 10 class intervals, then the length of the class is
(i)
5
(ii)
3
(iii)
7
(iv)
6
(v)
8
Question
31
31.
If the length of the class is 5, then the number of class intervals needed to represent data with range 50 is
(i)
10
(ii)
12
(iii)
9
(iv)
7
(v)
11
Question
32
32.
The number of classes of class size
10
required to represent
the given random sample in exclusive form
2
2
4
5
5
8
10
11
13
16
16
17
21
21
21
25
26
26
28
29
30
30
35
36
41
45
45
48
49
49
50
(i)
4
(ii)
5
(iii)
8
(iv)
6
(v)
2
Question
33
33.
If some random sample data is arranged in a frequency distribution table in
inclusive form
with
3
-
7
as the first class,
then the observation
20
falls in which class?
(i)
17
-
21
(ii)
19
-
23
(iii)
17.5
-
22.5
(iv)
18.5
-
21.5
(v)
18
-
22
Question
34
34.
If some random sample data is arranged in a frequency distribution table in
exclusive form
with
2
-
12
as the first class,
then the observation
26
falls in which class?
(i)
22.5
-
31.5
(ii)
22
-
32
(iii)
23
-
33
(iv)
21
-
31
(v)
21.5
-
32.5
Question
35
35.
Given class interval table, find the sum of frequencies.
Class-Interval
37 - 43
44 - 50
51 - 57
58 - 64
65 - 71
72 - 78
79 - 85
Frequency
17
19
15
7
28
6
9
(i)
101
(ii)
100
(iii)
98
(iv)
103
(v)
102
Question
36
36.
Given class interval table, find the sum of frequencies.
Class-Interval
23 - 32
32 - 41
41 - 50
50 - 59
59 - 68
Frequency
17
12
23
15
24
(i)
88
(ii)
92
(iii)
93
(iv)
91
(v)
90
Question
37
37.
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)
{a,b}
(ii)
{b,c,d}
(iii)
{e,c}
(iv)
{a,b,c}
(v)
{a,e,d}
Question
38
38.
Which of the following are discontinuous variables?
a)
Wages of workers in a factory.
b)
Number of workers in a factory.
c)
Heights of children in a class.
d)
Number of members in a family.
e)
Weights of persons in a group.
(i)
{a,b}
(ii)
{e,a,b}
(iii)
{b,d}
(iv)
{c,d}
(v)
{c,d,b}
Question
39
39.
If the sum of the following frequency distribution is
36
,
find the value of 'x'.
Class-Interval
Frequency
20 - 29
10
30 - 39
5
40 - 49
10
50 - 59
1
60 - 69
x
(i)
12
(ii)
9
(iii)
10
(iv)
11
(v)
7
Question
40
40.
The class marks of a frequency distribution are
14 , 21 , 28 , 35
.
Find the class size and class intervals
in inclusive form
(i)
7
;
10
-
17
,
17
-
24
,
24
-
31
,
31
-
38
(ii)
7
;
12
-
18
,
19
-
25
,
26
-
32
,
33
-
39
(iii)
7
;
11
-
17
,
18
-
24
,
25
-
31
,
32
-
38
(iv)
7
;
10
-
16
,
17
-
23
,
24
-
30
,
31
-
37
(v)
6
;
11
-
17
,
17
-
23
,
23
-
29
,
29
-
35
Question
41
41.
The class marks of a frequency distribution are
19.5 , 26.5 , 33.5 , 40.5
.
Find the class size and class intervals
in exclusive form
(i)
7
;
17
-
24
,
24
-
31
,
31
-
38
,
38
-
45
(ii)
8
;
16
-
23
,
24
-
31
,
32
-
39
,
40
-
47
(iii)
7
;
16
-
23
,
23
-
30
,
30
-
37
,
37
-
44
(iv)
7
;
15
-
22
,
22
-
29
,
29
-
36
,
36
-
43
(v)
9
;
15
-
23
,
24
-
32
,
33
-
41
,
42
-
50
Question
42
42.
Which of the following are continuous variables?
a)
Number of players in a team
b)
Number of members in a family
c)
Marks obtained by student in a particular subject
d)
Temperature at a place over a month
e)
Heights of children in a class
(i)
{d,e}
(ii)
{b,e}
(iii)
{c,a,d}
(iv)
{a,d}
(v)
{b,e,d}
Question
43
43.
Which of the following are discrete variables?
a)
Temperature at a place over a month
b)
Heights of children in a class
c)
Number of workers in a factory
d)
Marks obtained by student in a particular subject
e)
Weights of persons in a group
(i)
{b,d}
(ii)
{c,d}
(iii)
{e,a,c}
(iv)
{a,c}
(v)
{b,d,c}
Question
44
44.
Which of the following class intervals are in exclusive form?
a)
37 - 45 , 45 - 53 , 53 - 61...
b)
13 - 21 , 21 - 29 , 29 - 37,...
c)
40 - 48 , 49 - 57 , 58 - 66,...
d)
13 - 21 , 22 - 30 , 31 - 39,...
e)
12.5 - 21.5 , 21.5 - 30.5 , 30.5 - 39.5...
(i)
{c,d,e}
(ii)
{d,b}
(iii)
{c,a,b}
(iv)
{a,b,e}
(v)
{c,a}
Question
45
45.
Given table in inclusive form, convert it into exclusive form.
Class-Interval
18 - 28
29 - 39
40 - 50
51 - 61
62 - 72
73 - 83
Frequency
17
47
18
22
26
34
(i)
Class-Interval
17.5 - 27.5
28.5 - 38.5
39.5 - 49.5
50.5 - 60.5
61.5 - 71.5
72.5 - 82.5
Frequency
17
47
18
22
26
34
(ii)
Class-Interval
18.5 - 28.5
29.5 - 39.5
40.5 - 50.5
51.5 - 61.5
62.5 - 72.5
73.5 - 83.5
Frequency
17
47
18
22
26
34
(iii)
Class-Interval
17.5 - 28
28.5 - 39
39.5 - 50
50.5 - 61
61.5 - 72
72.5 - 83
Frequency
17
47
18
22
26
34
(iv)
Class-Interval
18 - 28
28 - 38
38 - 48
48 - 58
58 - 68
68 - 78
Frequency
37
40
39
22
28
12
(v)
Class-Interval
17.5 - 28.5
28.5 - 39.5
39.5 - 50.5
50.5 - 61.5
61.5 - 72.5
72.5 - 83.5
Frequency
17
47
18
22
26
34
Assignment Key
1) (ii)
2) (iv)
3) (iv)
4) (iv)
5) (v)
6) (v)
7) (iv)
8) (v)
9) (v)
10) (v)
11) (ii)
12) (i)
13) (v)
14) (iv)
15) (ii)
16) (ii)
17) (i)
18) (iii)
19) (v)
20) (iv)
21) (ii)
22) (ii)
23) (i)
24) (i)
25) (ii)
26) (i)
27) (ii)
28) (ii)
29) (i)
30) (iv)
31) (i)
32) (ii)
33) (v)
34) (ii)
35) (i)
36) (iv)
37) (ii)
38) (iii)
39) (iii)
40) (iii)
41) (iii)
42) (i)
43) (ii)
44) (iv)
45) (v)
