EduSahara™ Assignment
Name : Class Interval Table Concepts
Chapter : Statistics
Grade : CBSE Grade IX
License : Non Commercial Use
Question
1
1.
Given class interval
33
-
39
in exclusive form, its
lower limit is
(i)
32
(ii)
30
(iii)
33
(iv)
35
(v)
34
Question
2
2.
Given class interval
11
-
17
in exclusive form, its
upper limit is
(i)
15
(ii)
17
(iii)
18
(iv)
19
(v)
16
Question
3
3.
Given class interval
30
-
40
in exclusive form, its
class size is
(i)
9
(ii)
10
(iii)
8
(iv)
12
(v)
11
Question
4
4.
Given class interval
13
-
20
in exclusive form, its
class mark is
(i)
65
4
(ii)
35
2
(iii)
31
2
(iv)
33
2
(v)
17
Question
5
5.
Given class interval
39
-
42
in exclusive form, its
mid value is
(i)
41
(ii)
79
2
(iii)
83
2
(iv)
161
4
(v)
81
2
Question
6
6.
If the upper and lower limit of class interval are 52 and 47 respectively, then the class interval is
(i)
46.5
-
52.5
(ii)
47.5
-
51.5
(iii)
47
-
52
(iv)
47
-
52.5
(v)
46.5
-
52
Question
7
7.
If the lower and upper limit of class interval are 38 and 46 respectively, then the class interval is
(i)
37.5
-
46.5
(ii)
37.5
-
46
(iii)
38
-
46
(iv)
38
-
46.5
(v)
38.5
-
45.5
Question
8
8.
The class boundaries of 26 - 35 which is in exclusive form are
(i)
26
-
35.5
(ii)
25.5
-
35.5
(iii)
25.5
-
35
(iv)
26.5
-
34.5
(v)
26
-
35
Question
9
9.
The class boundaries of 32 - 41 which is in inclusive form are
(i)
31
-
42
(ii)
31.5
-
42
(iii)
31
-
41.5
(iv)
31.5
-
41.5
(v)
32
-
41
Question
10
10.
Convert the exclusive form of the class interval 15.5 - 21.5 to inclusive form
(i)
15.5
-
21.5
(ii)
16
-
21
(iii)
16
-
21.5
(iv)
15.5
-
21
(v)
16.5
-
20.5
Question
11
11.
Convert the inclusive form of the class interval 19 - 21 to exclusive form
(i)
18
-
21.5
(ii)
18
-
22
(iii)
18.5
-
22
(iv)
19
-
21
(v)
18.5
-
21.5
Question
12
12.
Convert the discontinuous form of the class interval 23 - 28 to continuous form
(i)
22.5
-
29
(ii)
22
-
28.5
(iii)
23
-
28
(iv)
22
-
29
(v)
22.5
-
28.5
Question
13
13.
Convert the continuous form of the class interval 40.5 - 50.5 to discontinuous form
(i)
41.5
-
49.5
(ii)
40.5
-
50
(iii)
40.5
-
50.5
(iv)
41
-
50
(v)
41
-
50.5
Question
14
14.
The class size used in the below table is
Class-Interval
11 - 16
17 - 22
23 - 28
29 - 34
35 - 40
Frequency
19
25
26
3
2
(i)
3
(ii)
5
(iii)
6
(iv)
7
(v)
8
Question
15
15.
The class size used in the below table is
Class-Interval
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
80 - 90
90 - 100
Frequency
9
20
23
7
1
26
24
(i)
10
(ii)
12
(iii)
11
(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 number of times a particular observation occurs is called its frequency.
c)
The true lower limit of the inclusive form class interval 50 - 60 is 50.
d)
The difference between the true upper limit and true lower limit is called the class mark.
e)
The true lower limit of the exclusive form class interval 50 - 60 is 50.
(i)
{c,d,e}
(ii)
{c,a,b}
(iii)
{d,b}
(iv)
{c,a}
(v)
{a,b,e}
Question
17
17.
Which of the following class intervals are in inclusive form?
a)
11 - 18 , 18 - 25 , 25 - 32,...
b)
35 - 42 , 43 - 50 , 51 - 58,...
c)
11 - 18 , 19 - 26 , 27 - 34,...
d)
10.5 - 18.5 , 18.5 - 26.5 , 26.5 - 34.5...
e)
32 - 39 , 39 - 46 , 46 - 53...
(i)
{e,a,b}
(ii)
{d,c}
(iii)
{d,c,b}
(iv)
{a,b}
(v)
{b,c}
Question
18
18.
In inclusive form representation, the observation
35
falls in which class?
(i)
15
-
25
(ii)
25
-
35
(iii)
36
-
45
(iv)
20
-
30
(v)
24
-
34
Question
19
19.
In exclusive form representation, the observation
35
falls in which class?
(i)
25
-
35
(ii)
35
-
45
(iii)
30
-
35
(iv)
40
-
50
(v)
45
-
55
Question
20
20.
The class boundaries of the class with frequency x is
Class-Interval
Frequency
46 - 51
18
52 - 57
x
58 - 63
2
64 - 69
9
70 - 75
16
(i)
51
-
58
(ii)
51.5
-
58
(iii)
51
-
57.5
(iv)
51.5
-
57.5
(v)
52
-
57
Question
21
21.
The class boundaries of the class with frequency x is
Class-Interval
Frequency
44 - 52
17
52 - 60
12
60 - 68
12
68 - 76
29
76 - 84
x
(i)
76
-
84.5
(ii)
75.5
-
84
(iii)
75.5
-
84.5
(iv)
76.5
-
83.5
(v)
76
-
84
Question
22
22.
The true lower limit and true upper limit of the class with frequency x is
Class-Interval
Frequency
19 - 25
x
26 - 32
14
33 - 39
9
40 - 46
9
47 - 53
23
(i)
18
-
25.5
(ii)
18.5
-
26
(iii)
18
-
26
(iv)
18.5
-
25.5
(v)
19
-
25
Question
23
23.
The true lower limit and true upper limit of the class with frequency x is
Class-Interval
Frequency
35 - 42
17
42 - 49
24
49 - 56
28
56 - 63
18
63 - 70
x
(i)
63.5
-
69.5
(ii)
63
-
70
(iii)
62.5
-
70
(iv)
63
-
70.5
(v)
62.5
-
70.5
Question
24
24.
The lower limit of the class with frequency x is
Class-Interval
Frequency
33 - 42
x
43 - 52
24
53 - 62
23
63 - 72
12
73 - 82
25
(i)
32
(ii)
33
(iii)
30
(iv)
34
(v)
36
Question
25
25.
The upper limit of the class with frequency x is
Class-Interval
Frequency
31 - 41
10
41 - 51
26
51 - 61
x
61 - 71
29
71 - 81
9
(i)
62
(ii)
61
(iii)
58
(iv)
60
(v)
63
Question
26
26.
If the sample data with range 70 has to be divided into 5 class intervals, then the length of the class is
(i)
12
(ii)
16
(iii)
15
(iv)
14
(v)
13
Question
27
27.
If the length of the class is 12, then the number of class intervals needed to represent data with range 70 is
(i)
4
(ii)
8
(iii)
6
(iv)
7
(v)
5
Question
28
28.
The number of classes of class size
9
required to represent
the given random sample in exclusive form
1
2
3
4
5
5
5
6
8
8
11
12
14
22
24
27
28
29
29
31
35
35
36
36
36
36
42
44
44
48
48
50
(i)
8
(ii)
6
(iii)
4
(iv)
5
(v)
7
Question
29
29.
If some random sample data is arranged in a frequency distribution table in
inclusive form
with
3
-
11
as the first class,
then the observation
29
falls in which class?
(i)
20.5
-
29.5
(ii)
20
-
28
(iii)
21
-
29
(iv)
22
-
30
(v)
21.5
-
28.5
Question
30
30.
If some random sample data is arranged in a frequency distribution table in
exclusive form
with
1
-
7
as the first class,
then the observation
25
falls in which class?
(i)
24
-
30
(ii)
24.5
-
31.5
(iii)
26
-
32
(iv)
25
-
31
(v)
25.5
-
30.5
Question
31
31.
Given class interval table, find the sum of frequencies.
Class-Interval
13 - 22
22 - 31
31 - 40
40 - 49
49 - 58
Frequency
21
19
24
13
29
(i)
104
(ii)
108
(iii)
106
(iv)
105
(v)
107
Question
32
32.
Which of the following are continuous variables?
a)
Number of workers in a factory.
b)
Number of members in a family.
c)
Heights of children in a class.
d)
Wages of workers in a factory.
e)
Weights of persons in a group.
(i)
{c,d,e}
(ii)
{b,d}
(iii)
{a,b,e}
(iv)
{a,c,d}
(v)
{a,c}
Question
33
33.
Which of the following are discontinuous variables?
a)
Wages of workers in a factory.
b)
Number of members in a family.
c)
Number of workers in a factory.
d)
Weights of persons in a group.
e)
Heights of children in a class.
(i)
{d,c}
(ii)
{a,b}
(iii)
{e,a,b}
(iv)
{d,c,b}
(v)
{b,c}
Question
34
34.
Given table in inclusive form, convert it into exclusive form.
Class-Interval
10 - 16
17 - 23
24 - 30
31 - 37
38 - 44
45 - 51
Frequency
14
50
36
15
29
15
(i)
Class-Interval
9.5 - 15.5
16.5 - 22.5
23.5 - 29.5
30.5 - 36.5
37.5 - 43.5
44.5 - 50.5
Frequency
14
50
36
15
29
15
(ii)
Class-Interval
9.5 - 16
16.5 - 23
23.5 - 30
30.5 - 37
37.5 - 44
44.5 - 51
Frequency
14
50
36
15
29
15
(iii)
Class-Interval
9.5 - 16.5
16.5 - 23.5
23.5 - 30.5
30.5 - 37.5
37.5 - 44.5
44.5 - 51.5
Frequency
14
50
36
15
29
15
(iv)
Class-Interval
10 - 16
16 - 22
22 - 28
28 - 34
34 - 40
40 - 46
Frequency
50
19
26
44
34
33
(v)
Class-Interval
10.5 - 16.5
17.5 - 23.5
24.5 - 30.5
31.5 - 37.5
38.5 - 44.5
45.5 - 51.5
Frequency
14
50
36
15
29
15
Question
35
35.
Which of the following class intervals are in exclusive form?
a)
20 - 27 , 28 - 35 , 36 - 43,...
b)
20 - 27 , 27 - 34 , 34 - 41,...
c)
41 - 48 , 48 - 55 , 55 - 62...
d)
19.5 - 27.5 , 27.5 - 35.5 , 35.5 - 43.5...
e)
44 - 51 , 52 - 59 , 60 - 67,...
(i)
{a,b,c}
(ii)
{a,b}
(iii)
{b,c,d}
(iv)
{a,e,d}
(v)
{e,c}
Question
36
36.
If the mean of the following frequency distribution is
7
7
10
,
find the value of 'x'.
Value
Frequency
4
3
6
x
7
3
8
3
9
5
10
4
(i)
1
(ii)
2
(iii)
4
(iv)
3
(v)
0
Question
37
37.
If the sum of the following frequency distribution is
26
,
find the value of 'x'.
Class-Interval
Frequency
20 - 26
4
27 - 33
1
34 - 40
3
41 - 47
1
48 - 54
x
55 - 61
5
62 - 68
9
(i)
6
(ii)
3
(iii)
2
(iv)
4
(v)
1
Question
38
38.
To represent equal numerical values, same diagrams are used in
(i)
sectors
(ii)
pictographs
(iii)
pie-diagrams
(iv)
bar-diagrams
Question
39
39.
Which of the following are continuous variables?
a)
Population of cities
b)
Rainfall at a place over a month
c)
Number of players in a team
d)
Heights of children in a class
e)
Number of workers in a factory
(i)
{a,b}
(ii)
{c,d}
(iii)
{c,d,b}
(iv)
{b,d}
(v)
{e,a,b}
Question
40
40.
Which of the following are discrete variables?
a)
Rainfall at a place over a month
b)
Number of players in a team
c)
Population of cities
d)
Temperature at a place over a month
e)
Heights of children in a class
(i)
{b,c}
(ii)
{d,c,b}
(iii)
{a,b}
(iv)
{d,c}
(v)
{e,a,b}
Question
41
41.
Find the sum of frequencies for the given table
Value
12
20
22
32
46
51
63
69
75
90
Frequency
1
1
1
1
1
1
1
1
1
1
(i)
9
(ii)
10
(iii)
11
(iv)
13
(v)
7
Question
42
42.
Given class interval table, find the sum of frequencies.
Class-Interval
18 - 27
28 - 37
38 - 47
48 - 57
58 - 67
68 - 77
78 - 87
88 - 97
Frequency
8
28
29
17
9
21
30
8
(i)
153
(ii)
150
(iii)
147
(iv)
149
(v)
151
Question
43
43.
The class marks of a frequency distribution are
13 , 20 , 27 , 34
.
Find the class size and class intervals
in inclusive form
(i)
6
;
10
-
16
,
16
-
22
,
22
-
28
,
28
-
34
(ii)
7
;
11
-
17
,
18
-
24
,
25
-
31
,
32
-
38
(iii)
7
;
9
-
15
,
16
-
22
,
23
-
29
,
30
-
36
(iv)
7
;
10
-
16
,
17
-
23
,
24
-
30
,
31
-
37
(v)
7
;
9
-
16
,
16
-
23
,
23
-
30
,
30
-
37
Question
44
44.
The class marks of a frequency distribution are
33.5 , 42.5 , 51.5 , 60.5
.
Find the class size and class intervals
in exclusive form
(i)
11
;
28
-
38
,
39
-
49
,
50
-
60
,
61
-
71
(ii)
9
;
28
-
37
,
37
-
46
,
46
-
55
,
55
-
64
(iii)
9
;
30
-
39
,
39
-
48
,
48
-
57
,
57
-
66
(iv)
10
;
29
-
38
,
39
-
48
,
49
-
58
,
59
-
68
(v)
9
;
29
-
38
,
38
-
47
,
47
-
56
,
56
-
65
Assignment Key
1) (iii)
2) (ii)
3) (ii)
4) (iv)
5) (v)
6) (iii)
7) (iii)
8) (v)
9) (iv)
10) (ii)
11) (v)
12) (v)
13) (iv)
14) (iii)
15) (i)
16) (v)
17) (v)
18) (ii)
19) (ii)
20) (iv)
21) (v)
22) (iv)
23) (ii)
24) (ii)
25) (ii)
26) (iv)
27) (iii)
28) (ii)
29) (iii)
30) (iv)
31) (iii)
32) (i)
33) (v)
34) (iii)
35) (iii)
36) (ii)
37) (ii)
38) (ii)
39) (iv)
40) (i)
41) (ii)
42) (ii)
43) (iv)
44) (v)
