EduSahara™ Assignment
Name : Class Interval Table Concepts
Chapter : Statistics
Grade : CBSE Grade IX
License : Non Commercial Use
Question
1
1.
Given class interval
28
-
36
in exclusive form, its
lower limit is
(i)
28
(ii)
29
(iii)
27
(iv)
31
(v)
26
Question
2
2.
Given class interval
32
-
41
in exclusive form, its
upper limit is
(i)
40
(ii)
44
(iii)
42
(iv)
41
(v)
38
Question
3
3.
Given class interval
30
-
39
in exclusive form, its
class size is
(i)
8
(ii)
6
(iii)
9
(iv)
10
(v)
12
Question
4
4.
Given class interval
25
-
34
in exclusive form, its
class mark is
(i)
57
2
(ii)
61
2
(iii)
117
4
(iv)
59
2
(v)
30
Question
5
5.
Given class interval
16
-
20
in exclusive form, its
mid value is
(i)
21
(ii)
16
(iii)
17
(iv)
19
(v)
18
Question
6
6.
If the upper and lower limit of class interval are 34 and 29 respectively, then the class interval is
(i)
28.5
-
34.5
(ii)
28.5
-
34
(iii)
29
-
34
(iv)
29.5
-
33.5
(v)
29
-
34.5
Question
7
7.
If the lower and upper limit of class interval are 14 and 24 respectively, then the class interval is
(i)
13.5
-
24
(ii)
14
-
24
(iii)
14
-
24.5
(iv)
14.5
-
23.5
(v)
13.5
-
24.5
Question
8
8.
The class boundaries of 48 - 53 which is in exclusive form are
(i)
47.5
-
53
(ii)
47.5
-
53.5
(iii)
48
-
53.5
(iv)
48
-
53
(v)
48.5
-
52.5
Question
9
9.
The class boundaries of 46 - 48 which is in inclusive form are
(i)
45
-
48.5
(ii)
45.5
-
48.5
(iii)
45.5
-
49
(iv)
46
-
48
(v)
45
-
49
Question
10
10.
Convert the exclusive form of the class interval 15.5 - 19.5 to inclusive form
(i)
16
-
19.5
(ii)
15.5
-
19
(iii)
16.5
-
18.5
(iv)
15.5
-
19.5
(v)
16
-
19
Question
11
11.
Convert the inclusive form of the class interval 11 - 18 to exclusive form
(i)
10.5
-
19
(ii)
10.5
-
18.5
(iii)
11
-
18
(iv)
10
-
19
(v)
10
-
18.5
Question
12
12.
Convert the discontinuous form of the class interval 39 - 49 to continuous form
(i)
38
-
49.5
(ii)
38.5
-
50
(iii)
38.5
-
49.5
(iv)
38
-
50
(v)
39
-
49
Question
13
13.
Convert the continuous form of the class interval 23.5 - 31.5 to discontinuous form
(i)
24
-
31
(ii)
23.5
-
31
(iii)
24.5
-
30.5
(iv)
24
-
31.5
(v)
23.5
-
31.5
Question
14
14.
The class size used in the below table is
Class-Interval
13 - 23
24 - 34
35 - 45
46 - 56
57 - 67
68 - 78
79 - 89
90 - 100
Frequency
11
23
7
22
20
17
12
1
(i)
11
(ii)
9
(iii)
12
(iv)
10
(v)
13
Question
15
15.
The class size used in the below table is
Class-Interval
17 - 23
23 - 29
29 - 35
35 - 41
41 - 47
47 - 53
53 - 59
Frequency
5
15
16
13
23
21
4
(i)
6
(ii)
4
(iii)
5
(iv)
9
(v)
7
Question
16
16.
Which of the following are true?
a)
Each numerical figure in a data set is called an observation.
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)
The true lower limit of the inclusive form class interval 10 - 20 is 10.
(i)
{c,a}
(ii)
{a,b,d}
(iii)
{c,a,b}
(iv)
{e,b}
(v)
{c,e,d}
Question
17
17.
Which of the following class intervals are in inclusive form?
a)
22 - 29 , 29 - 36 , 36 - 43,...
b)
43 - 50 , 50 - 57 , 57 - 64...
c)
46 - 53 , 54 - 61 , 62 - 69,...
d)
21.5 - 29.5 , 29.5 - 37.5 , 37.5 - 45.5...
e)
22 - 29 , 30 - 37 , 38 - 45,...
(i)
{c,e}
(ii)
{d,a,c}
(iii)
{b,e,c}
(iv)
{a,c}
(v)
{b,e}
Question
18
18.
In inclusive form representation, the observation
54
falls in which class?
(i)
43
-
53
(ii)
55
-
64
(iii)
34
-
44
(iv)
44
-
54
(v)
39
-
49
Question
19
19.
In exclusive form representation, the observation
15
falls in which class?
(i)
25
-
35
(ii)
10
-
15
(iii)
5
-
15
(iv)
15
-
25
(v)
20
-
30
Question
20
20.
The class boundaries of the class with frequency x is
Class-Interval
Frequency
47 - 54
30
55 - 62
x
63 - 70
29
71 - 78
16
79 - 86
16
(i)
54
-
62.5
(ii)
54.5
-
63
(iii)
54
-
63
(iv)
55
-
62
(v)
54.5
-
62.5
Question
21
21.
The class boundaries of the class with frequency x is
Class-Interval
Frequency
30 - 36
10
36 - 42
x
42 - 48
12
48 - 54
8
54 - 60
9
(i)
36
-
42.5
(ii)
36.5
-
41.5
(iii)
36
-
42
(iv)
35.5
-
42.5
(v)
35.5
-
42
Question
22
22.
The true lower limit and true upper limit of the class with frequency x is
Class-Interval
Frequency
47 - 53
1
54 - 60
11
61 - 67
x
68 - 74
24
75 - 81
28
(i)
61
-
67
(ii)
60
-
68
(iii)
60.5
-
67.5
(iv)
60.5
-
68
(v)
60
-
67.5
Question
23
23.
The true lower limit and true upper limit of the class with frequency x is
Class-Interval
Frequency
10 - 18
1
18 - 26
27
26 - 34
8
34 - 42
2
42 - 50
x
(i)
41.5
-
50.5
(ii)
42
-
50.5
(iii)
41.5
-
50
(iv)
42
-
50
(v)
42.5
-
49.5
Question
24
24.
The lower limit of the class with frequency x is
Class-Interval
Frequency
26 - 31
7
32 - 37
28
38 - 43
x
44 - 49
14
50 - 55
9
(i)
36
(ii)
40
(iii)
39
(iv)
38
(v)
37
Question
25
25.
The upper limit of the class with frequency x is
Class-Interval
Frequency
36 - 41
12
41 - 46
9
46 - 51
x
51 - 56
4
56 - 61
11
(i)
54
(ii)
50
(iii)
49
(iv)
52
(v)
51
Question
26
26.
If the sample data with range 30 has to be divided into 9 class intervals, then the length of the class is
(i)
4
(ii)
6
(iii)
5
(iv)
3
(v)
1
Question
27
27.
If the length of the class is 3, then the number of class intervals needed to represent data with range 30 is
(i)
9
(ii)
11
(iii)
7
(iv)
10
(v)
13
Question
28
28.
The number of classes of class size
6
required to represent
the given random sample in exclusive form
3
3
6
7
8
8
9
10
11
11
12
12
12
13
13
16
20
20
20
21
24
24
27
31
33
35
36
38
38
39
40
41
45
45
49
(i)
7
(ii)
9
(iii)
10
(iv)
6
(v)
8
Question
29
29.
If some random sample data is arranged in a frequency distribution table in
inclusive form
with
2
-
11
as the first class,
then the observation
28
falls in which class?
(i)
21.5
-
31.5
(ii)
21
-
30
(iii)
22.5
-
30.5
(iv)
22
-
31
(v)
23
-
32
Question
30
30.
If some random sample data is arranged in a frequency distribution table in
exclusive form
with
1
-
9
as the first class,
then the observation
24
falls in which class?
(i)
17
-
25
(ii)
18
-
26
(iii)
16
-
24
(iv)
16.5
-
25.5
(v)
17.5
-
24.5
Question
31
31.
Given class interval table, find the sum of frequencies.
Class-Interval
49 - 57
57 - 65
65 - 73
73 - 81
81 - 89
Frequency
8
1
9
14
10
(i)
42
(ii)
41
(iii)
44
(iv)
43
(v)
40
Question
32
32.
Which of the following are continuous variables?
a)
Heights of children in a class.
b)
Number of members in a family.
c)
Number of workers in a factory.
d)
Weights of persons in a group.
e)
Wages of workers in a factory.
(i)
{a,d,e}
(ii)
{c,d}
(iii)
{b,a}
(iv)
{b,c,e}
(v)
{b,a,d}
Question
33
33.
Which of the following are discontinuous variables?
a)
Number of members in a family.
b)
Number of workers in a factory.
c)
Wages of workers in a factory.
d)
Heights of children in a class.
e)
Weights of persons in a group.
(i)
{c,a}
(ii)
{d,b}
(iii)
{a,b}
(iv)
{e,c,a}
(v)
{d,b,a}
Question
34
34.
Given table in inclusive form, convert it into exclusive form.
Class-Interval
14 - 23
24 - 33
34 - 43
44 - 53
54 - 63
64 - 73
Frequency
27
50
18
47
32
15
(i)
Class-Interval
14.5 - 23.5
24.5 - 33.5
34.5 - 43.5
44.5 - 53.5
54.5 - 63.5
64.5 - 73.5
Frequency
27
50
18
47
32
15
(ii)
Class-Interval
14 - 23
23 - 32
32 - 41
41 - 50
50 - 59
59 - 68
Frequency
27
29
47
20
26
24
(iii)
Class-Interval
13.5 - 23.5
23.5 - 33.5
33.5 - 43.5
43.5 - 53.5
53.5 - 63.5
63.5 - 73.5
Frequency
27
50
18
47
32
15
(iv)
Class-Interval
13.5 - 23
23.5 - 33
33.5 - 43
43.5 - 53
53.5 - 63
63.5 - 73
Frequency
27
50
18
47
32
15
(v)
Class-Interval
13.5 - 22.5
23.5 - 32.5
33.5 - 42.5
43.5 - 52.5
53.5 - 62.5
63.5 - 72.5
Frequency
27
50
18
47
32
15
Question
35
35.
Which of the following class intervals are in exclusive form?
a)
10.5 - 16.5 , 16.5 - 22.5 , 22.5 - 28.5...
b)
11 - 16 , 17 - 22 , 23 - 28,...
c)
26 - 31 , 31 - 36 , 36 - 41...
d)
11 - 16 , 16 - 21 , 21 - 26,...
e)
29 - 34 , 35 - 40 , 41 - 46,...
(i)
{e,c}
(ii)
{b,a,c}
(iii)
{a,c,d}
(iv)
{b,a}
(v)
{b,e,d}
Question
36
36.
If the mean of the following frequency distribution is
6
29
37
,
find the value of 'x'.
Value
Frequency
3
3
4
9
5
4
6
3
7
3
8
3
9
x
10
5
11
5
(i)
2
(ii)
4
(iii)
3
(iv)
0
(v)
1
Question
37
37.
If the sum of the following frequency distribution is
25
,
find the value of 'x'.
Class-Interval
Frequency
10 - 20
2
21 - 31
6
32 - 42
5
43 - 53
5
54 - 64
x
(i)
5
(ii)
6
(iii)
7
(iv)
8
(v)
10
Question
38
38.
To represent equal numerical values, same diagrams are used in
(i)
bar-diagrams
(ii)
pie-diagrams
(iii)
sectors
(iv)
pictographs
Question
39
39.
Which of the following are continuous variables?
a)
Weights of persons in a group
b)
Rainfall at a place over a month
c)
Number of players in a team
d)
Number of workers in a factory
e)
Number of members in a family
(i)
{c,a}
(ii)
{d,b}
(iii)
{e,c,a}
(iv)
{a,b}
(v)
{d,b,a}
Question
40
40.
Which of the following are discrete variables?
a)
Number of players in a team
b)
Temperature at a place over a month
c)
Wages of workers in a factory
d)
Rainfall at a place over a month
e)
Number of workers in a factory
(i)
{d,b,a}
(ii)
{c,e}
(iii)
{a,e}
(iv)
{b,a}
(v)
{c,e,a}
Question
41
41.
Find the sum of frequencies for the given table
Value
25
26
27
35
49
51
65
87
89
Frequency
2
1
1
1
1
1
1
1
1
(i)
10
(ii)
13
(iii)
8
(iv)
11
(v)
9
Question
42
42.
Given class interval table, find the sum of frequencies.
Class-Interval
44 - 49
50 - 55
56 - 61
62 - 67
68 - 73
74 - 79
Frequency
5
17
20
10
3
1
(i)
55
(ii)
58
(iii)
57
(iv)
56
(v)
53
Question
43
43.
The class marks of a frequency distribution are
28 , 37 , 46 , 55
.
Find the class size and class intervals
in inclusive form
(i)
9
;
25
-
33
,
34
-
42
,
43
-
51
,
52
-
60
(ii)
9
;
23
-
31
,
32
-
40
,
41
-
49
,
50
-
58
(iii)
9
;
24
-
32
,
33
-
41
,
42
-
50
,
51
-
59
(iv)
9
;
23
-
32
,
32
-
41
,
41
-
50
,
50
-
59
(v)
8
;
24
-
32
,
32
-
40
,
40
-
48
,
48
-
56
Question
44
44.
The class marks of a frequency distribution are
29 , 35 , 41 , 47
.
Find the class size and class intervals
in exclusive form
(i)
6
;
27
-
33
,
33
-
39
,
39
-
45
,
45
-
51
(ii)
7
;
26
-
32
,
33
-
39
,
40
-
46
,
47
-
53
(iii)
8
;
25
-
32
,
33
-
40
,
41
-
48
,
49
-
56
(iv)
6
;
26
-
32
,
32
-
38
,
38
-
44
,
44
-
50
(v)
6
;
25
-
31
,
31
-
37
,
37
-
43
,
43
-
49
Assignment Key
1) (i)
2) (iv)
3) (iii)
4) (iv)
5) (v)
6) (iii)
7) (ii)
8) (iv)
9) (ii)
10) (v)
11) (ii)
12) (iii)
13) (i)
14) (i)
15) (i)
16) (ii)
17) (i)
18) (iv)
19) (iv)
20) (v)
21) (iii)
22) (iii)
23) (iv)
24) (iv)
25) (v)
26) (i)
27) (iv)
28) (v)
29) (iv)
30) (i)
31) (i)
32) (i)
33) (iii)
34) (iii)
35) (iii)
36) (i)
37) (iii)
38) (iv)
39) (iv)
40) (iii)
41) (i)
42) (iv)
43) (iii)
44) (iv)
