EduSahara™ Assignment
Name : Class Interval Table Concepts
Chapter : Statistics
Grade : CBSE Grade IX
License : Non Commercial Use
Question
1
1.
Given class interval
47
-
52
in exclusive form, its
lower limit is
(i)
47
(ii)
48
(iii)
49
(iv)
46
(v)
45
Question
2
2.
Given class interval
36
-
40
in exclusive form, its
upper limit is
(i)
40
(ii)
43
(iii)
41
(iv)
39
(v)
38
Question
3
3.
Given class interval
21
-
28
in exclusive form, its
class size is
(i)
6
(ii)
7
(iii)
8
(iv)
9
(v)
4
Question
4
4.
Given class interval
22
-
30
in exclusive form, its
class mark is
(i)
27
(ii)
26
(iii)
23
(iv)
29
(v)
25
Question
5
5.
Given class interval
30
-
34
in exclusive form, its
mid value is
(i)
33
(ii)
32
(iii)
31
(iv)
34
(v)
29
Question
6
6.
If the upper and lower limit of class interval are 23 and 14 respectively, then the class interval is
(i)
13.5
-
23
(ii)
13.5
-
23.5
(iii)
14
-
23.5
(iv)
14.5
-
22.5
(v)
14
-
23
Question
7
7.
If the lower and upper limit of class interval are 15 and 23 respectively, then the class interval is
(i)
14.5
-
23.5
(ii)
15.5
-
22.5
(iii)
14.5
-
23
(iv)
15
-
23
(v)
15
-
23.5
Question
8
8.
The class boundaries of 34 - 42 which is in exclusive form are
(i)
33.5
-
42.5
(ii)
33.5
-
42
(iii)
34.5
-
41.5
(iv)
34
-
42
(v)
34
-
42.5
Question
9
9.
The class boundaries of 16 - 21 which is in inclusive form are
(i)
15
-
21.5
(ii)
16
-
21
(iii)
15
-
22
(iv)
15.5
-
21.5
(v)
15.5
-
22
Question
10
10.
Convert the exclusive form of the class interval 25.5 - 29.5 to inclusive form
(i)
25.5
-
29.5
(ii)
26
-
29.5
(iii)
26.5
-
28.5
(iv)
25.5
-
29
(v)
26
-
29
Question
11
11.
Convert the inclusive form of the class interval 15 - 25 to exclusive form
(i)
14
-
25.5
(ii)
15
-
25
(iii)
14.5
-
26
(iv)
14
-
26
(v)
14.5
-
25.5
Question
12
12.
Convert the discontinuous form of the class interval 34 - 36 to continuous form
(i)
33.5
-
37
(ii)
33
-
36.5
(iii)
34
-
36
(iv)
33.5
-
36.5
(v)
33
-
37
Question
13
13.
Convert the continuous form of the class interval 43.5 - 48.5 to discontinuous form
(i)
44.5
-
47.5
(ii)
43.5
-
48.5
(iii)
44
-
48.5
(iv)
43.5
-
48
(v)
44
-
48
Question
14
14.
The class size used in the below table is
Class-Interval
43 - 49
50 - 56
57 - 63
64 - 70
71 - 77
78 - 84
85 - 91
Frequency
15
7
17
23
24
21
25
(i)
7
(ii)
8
(iii)
10
(iv)
6
(v)
5
Question
15
15.
The class size used in the below table is
Class-Interval
26 - 31
31 - 36
36 - 41
41 - 46
46 - 51
51 - 56
56 - 61
61 - 66
Frequency
1
18
14
24
22
14
5
25
(i)
6
(ii)
5
(iii)
2
(iv)
8
(v)
4
Question
16
16.
Which of the following are true?
a)
Each numerical figure in a data set is called an observation.
b)
The number of times a particular observation occurs is called its frequency.
c)
The true lower limit of the exclusive form class interval 30 - 40 is 30.
d)
The difference between the true upper limit and true lower limit is called the class mark.
e)
The true lower limit of the inclusive form class interval 30 - 40 is 30.
(i)
{d,a}
(ii)
{d,e,c}
(iii)
{e,b}
(iv)
{d,a,b}
(v)
{a,b,c}
Question
17
17.
Which of the following class intervals are in inclusive form?
a)
36 - 41 , 41 - 46 , 46 - 51...
b)
39 - 44 , 45 - 50 , 51 - 56,...
c)
21 - 26 , 26 - 31 , 31 - 36,...
d)
21 - 26 , 27 - 32 , 33 - 38,...
e)
20.5 - 26.5 , 26.5 - 32.5 , 32.5 - 38.5...
(i)
{b,d}
(ii)
{c,d}
(iii)
{a,b}
(iv)
{c,d,b}
(v)
{e,a,b}
Question
18
18.
In inclusive form representation, the observation
60
falls in which class?
(i)
61
-
70
(ii)
40
-
50
(iii)
45
-
55
(iv)
49
-
59
(v)
50
-
60
Question
19
19.
In exclusive form representation, the observation
22
falls in which class?
(i)
12
-
22
(ii)
17
-
22
(iii)
22
-
32
(iv)
27
-
37
(v)
32
-
42
Question
20
20.
The class boundaries of the class with frequency x is
Class-Interval
Frequency
35 - 42
x
43 - 50
25
51 - 58
2
59 - 66
24
67 - 74
17
(i)
34
-
43
(ii)
35
-
42
(iii)
34.5
-
42.5
(iv)
34.5
-
43
(v)
34
-
42.5
Question
21
21.
The class boundaries of the class with frequency x is
Class-Interval
Frequency
33 - 38
3
38 - 43
6
43 - 48
24
48 - 53
x
53 - 58
2
(i)
47.5
-
53.5
(ii)
48.5
-
52.5
(iii)
47.5
-
53
(iv)
48
-
53.5
(v)
48
-
53
Question
22
22.
The true lower limit and true upper limit of the class with frequency x is
Class-Interval
Frequency
28 - 34
27
35 - 41
x
42 - 48
17
49 - 55
18
56 - 62
5
(i)
35
-
41
(ii)
34
-
41.5
(iii)
34.5
-
42
(iv)
34
-
42
(v)
34.5
-
41.5
Question
23
23.
The true lower limit and true upper limit of the class with frequency x is
Class-Interval
Frequency
46 - 52
4
52 - 58
3
58 - 64
26
64 - 70
x
70 - 76
2
(i)
64
-
70
(ii)
63.5
-
70.5
(iii)
64
-
70.5
(iv)
63.5
-
70
(v)
64.5
-
69.5
Question
24
24.
The lower limit of the class with frequency x is
Class-Interval
Frequency
28 - 34
4
35 - 41
2
42 - 48
14
49 - 55
x
56 - 62
7
(i)
47
(ii)
51
(iii)
50
(iv)
49
(v)
48
Question
25
25.
The upper limit of the class with frequency x is
Class-Interval
Frequency
21 - 29
x
29 - 37
29
37 - 45
13
45 - 53
13
53 - 61
3
(i)
31
(ii)
27
(iii)
29
(iv)
28
(v)
30
Question
26
26.
If the sample data with range 60 has to be divided into 7 class intervals, then the length of the class is
(i)
10
(ii)
12
(iii)
6
(iv)
8
(v)
9
Question
27
27.
If the length of the class is 10, then the number of class intervals needed to represent data with range 60 is
(i)
6
(ii)
5
(iii)
4
(iv)
9
(v)
7
Question
28
28.
The number of classes of class size
7
required to represent
the given random sample in exclusive form
3
4
5
7
8
8
10
11
11
13
14
15
15
18
20
21
22
22
24
26
28
32
33
34
36
37
37
39
40
41
41
41
43
43
44
45
45
48
49
(i)
5
(ii)
10
(iii)
7
(iv)
8
(v)
6
Question
29
29.
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
31
falls in which class?
(i)
24
-
33
(ii)
22
-
31
(iii)
22.5
-
32.5
(iv)
23.5
-
31.5
(v)
23
-
32
Question
30
30.
If some random sample data is arranged in a frequency distribution table in
exclusive form
with
3
-
8
as the first class,
then the observation
31
falls in which class?
(i)
28
-
33
(ii)
27
-
32
(iii)
29
-
34
(iv)
27.5
-
33.5
(v)
28.5
-
32.5
Question
31
31.
Given class interval table, find the sum of frequencies.
Class-Interval
37 - 43
43 - 49
49 - 55
55 - 61
61 - 67
67 - 73
73 - 79
79 - 85
Frequency
8
28
21
11
2
3
24
29
(i)
124
(ii)
126
(iii)
128
(iv)
125
(v)
127
Question
32
32.
Which of the following are continuous variables?
a)
Number of members in a family.
b)
Heights of children in a class.
c)
Weights of persons in a group.
d)
Number of workers in a factory.
e)
Wages of workers in a factory.
(i)
{a,b}
(ii)
{b,c,e}
(iii)
{a,d,e}
(iv)
{a,b,c}
(v)
{d,c}
Question
33
33.
Which of the following are discontinuous variables?
a)
Number of workers in a factory.
b)
Weights of persons in a group.
c)
Number of members in a family.
d)
Heights of children in a class.
e)
Wages of workers in a factory.
(i)
{b,a}
(ii)
{d,c,a}
(iii)
{d,c}
(iv)
{a,c}
(v)
{e,b,a}
Question
34
34.
Given table in inclusive form, convert it into exclusive form.
Class-Interval
8 - 13
14 - 19
20 - 25
26 - 31
32 - 37
38 - 43
Frequency
25
32
16
39
22
49
(i)
Class-Interval
7.5 - 13.5
13.5 - 19.5
19.5 - 25.5
25.5 - 31.5
31.5 - 37.5
37.5 - 43.5
Frequency
25
32
16
39
22
49
(ii)
Class-Interval
7.5 - 13
13.5 - 19
19.5 - 25
25.5 - 31
31.5 - 37
37.5 - 43
Frequency
25
32
16
39
22
49
(iii)
Class-Interval
7.5 - 12.5
13.5 - 18.5
19.5 - 24.5
25.5 - 30.5
31.5 - 36.5
37.5 - 42.5
Frequency
25
32
16
39
22
49
(iv)
Class-Interval
8 - 13
13 - 18
18 - 23
23 - 28
28 - 33
33 - 38
Frequency
33
32
45
18
28
43
(v)
Class-Interval
8.5 - 13.5
14.5 - 19.5
20.5 - 25.5
26.5 - 31.5
32.5 - 37.5
38.5 - 43.5
Frequency
25
32
16
39
22
49
Question
35
35.
Which of the following class intervals are in exclusive form?
a)
38 - 44 , 44 - 50 , 50 - 56...
b)
19.5 - 26.5 , 26.5 - 33.5 , 33.5 - 40.5...
c)
20 - 26 , 27 - 33 , 34 - 40,...
d)
20 - 26 , 26 - 32 , 32 - 38,...
e)
41 - 47 , 48 - 54 , 55 - 61,...
(i)
{e,b}
(ii)
{c,a,b}
(iii)
{c,a}
(iv)
{a,b,d}
(v)
{c,e,d}
Question
36
36.
If the mean of the following frequency distribution is
6
1
2
,
find the value of 'x'.
Value
Frequency
3
2
4
3
5
3
6
3
7
4
8
2
9
2
10
x
(i)
0
(ii)
2
(iii)
5
(iv)
4
(v)
3
Question
37
37.
If the sum of the following frequency distribution is
36
,
find the value of 'x'.
Class-Interval
Frequency
20 - 28
4
29 - 37
7
38 - 46
x
47 - 55
6
56 - 64
9
(i)
11
(ii)
9
(iii)
13
(iv)
7
(v)
10
Question
38
38.
To represent equal numerical values, same diagrams are used in
(i)
pictographs
(ii)
bar-diagrams
(iii)
pie-diagrams
(iv)
sectors
Question
39
39.
Which of the following are continuous variables?
a)
Wages of workers in a factory
b)
Weights of persons in a group
c)
Number of members in a family
d)
Number of workers in a factory
e)
Population of cities
(i)
{d,b,a}
(ii)
{d,b}
(iii)
{c,a}
(iv)
{a,b}
(v)
{e,c,a}
Question
40
40.
Which of the following are discrete variables?
a)
Number of players in a team
b)
Rainfall at a place over a month
c)
Marks obtained by student in a particular subject
d)
Wages of workers in a factory
e)
Weights of persons in a group
(i)
{e,b,a}
(ii)
{b,a}
(iii)
{d,c}
(iv)
{a,c}
(v)
{d,c,a}
Question
41
41.
Find the sum of frequencies for the given table
Value
18
25
40
44
52
73
76
78
83
90
Frequency
1
1
1
1
1
1
1
1
1
1
(i)
8
(ii)
11
(iii)
12
(iv)
9
(v)
10
Question
42
42.
Given class interval table, find the sum of frequencies.
Class-Interval
38 - 48
49 - 59
60 - 70
71 - 81
82 - 92
Frequency
8
10
28
20
25
(i)
91
(ii)
90
(iii)
89
(iv)
92
(v)
93
Question
43
43.
The class marks of a frequency distribution are
35 , 46 , 57 , 68
.
Find the class size and class intervals
in inclusive form
(i)
10
;
30
-
40
,
40
-
50
,
50
-
60
,
60
-
70
(ii)
11
;
31
-
41
,
42
-
52
,
53
-
63
,
64
-
74
(iii)
11
;
29
-
39
,
40
-
50
,
51
-
61
,
62
-
72
(iv)
11
;
29
-
40
,
40
-
51
,
51
-
62
,
62
-
73
(v)
11
;
30
-
40
,
41
-
51
,
52
-
62
,
63
-
73
Question
44
44.
The class marks of a frequency distribution are
30.5 , 35.5 , 40.5 , 45.5
.
Find the class size and class intervals
in exclusive form
(i)
6
;
28
-
33
,
34
-
39
,
40
-
45
,
46
-
51
(ii)
5
;
27
-
32
,
32
-
37
,
37
-
42
,
42
-
47
(iii)
7
;
27
-
33
,
34
-
40
,
41
-
47
,
48
-
54
(iv)
5
;
28
-
33
,
33
-
38
,
38
-
43
,
43
-
48
(v)
5
;
29
-
34
,
34
-
39
,
39
-
44
,
44
-
49
Assignment Key
1) (i)
2) (i)
3) (ii)
4) (ii)
5) (ii)
6) (v)
7) (iv)
8) (iv)
9) (iv)
10) (v)
11) (v)
12) (iv)
13) (v)
14) (i)
15) (ii)
16) (v)
17) (i)
18) (v)
19) (iii)
20) (iii)
21) (v)
22) (v)
23) (i)
24) (iv)
25) (iii)
26) (v)
27) (i)
28) (iii)
29) (v)
30) (i)
31) (ii)
32) (ii)
33) (iv)
34) (i)
35) (iv)
36) (v)
37) (v)
38) (i)
39) (iv)
40) (iv)
41) (v)
42) (i)
43) (v)
44) (iv)
