EduSahara™ Assignment
Name : Class Interval Table Concepts
Chapter : Statistics
Grade : SSC Grade IX
License : Non Commercial Use
Question
1
1.
If some random sample data is arranged in a frequency distribution table in
inclusive form
with
1
-
5
as the first class,
then the observation
31
falls in which class?
(i)
32
-
36
(ii)
30
-
34
(iii)
31.5
-
34.5
(iv)
30.5
-
35.5
(v)
31
-
35
Question
2
2.
If some random sample data is arranged in a frequency distribution table in
exclusive form
with
3
-
13
as the first class,
then the observation
29
falls in which class?
(i)
23
-
33
(ii)
22
-
32
(iii)
23.5
-
32.5
(iv)
22.5
-
33.5
(v)
24
-
34
Question
3
3.
Given class interval
43
-
53
in exclusive form, its
lower limit is
(i)
40
(ii)
42
(iii)
43
(iv)
46
(v)
44
Question
4
4.
Given class interval
27
-
34
in exclusive form, its
upper limit is
(i)
36
(ii)
35
(iii)
32
(iv)
34
(v)
33
Question
5
5.
Given class interval
21
-
23
in exclusive form, its
class size is
(i)
2
(ii)
4
(iii)
1
(iv)
-1
(v)
3
Question
6
6.
Given class interval
31
-
34
in exclusive form, its
class mark is
(i)
67
2
(ii)
129
4
(iii)
65
2
(iv)
63
2
(v)
33
Question
7
7.
Given class interval
19
-
24
in exclusive form, its
mid value is
(i)
22
(ii)
45
2
(iii)
85
4
(iv)
43
2
(v)
41
2
Question
8
8.
If the upper and lower limit of class interval are 16 and 12 respectively, then the class interval is
(i)
12
-
16.5
(ii)
11.5
-
16.5
(iii)
12
-
16
(iv)
11.5
-
16
(v)
12.5
-
15.5
Question
9
9.
If the lower and upper limit of class interval are 28 and 33 respectively, then the class interval is
(i)
28.5
-
32.5
(ii)
27.5
-
33.5
(iii)
27.5
-
33
(iv)
28
-
33.5
(v)
28
-
33
Question
10
10.
The class boundaries of 45 - 50 which is in exclusive form are
(i)
45
-
50.5
(ii)
45
-
50
(iii)
45.5
-
49.5
(iv)
44.5
-
50
(v)
44.5
-
50.5
Question
11
11.
The class boundaries of 20 - 28 which is in inclusive form are
(i)
19
-
28.5
(ii)
19
-
29
(iii)
20
-
28
(iv)
19.5
-
29
(v)
19.5
-
28.5
Question
12
12.
Convert the exclusive form of the class interval 11.5 - 21.5 to inclusive form
(i)
12
-
21.5
(ii)
12
-
21
(iii)
11.5
-
21
(iv)
11.5
-
21.5
(v)
12.5
-
20.5
Question
13
13.
Convert the inclusive form of the class interval 24 - 34 to exclusive form
(i)
23
-
34.5
(ii)
23
-
35
(iii)
23.5
-
34.5
(iv)
23.5
-
35
(v)
24
-
34
Question
14
14.
Convert the discontinuous form of the class interval 32 - 34 to continuous form
(i)
31.5
-
35
(ii)
31
-
35
(iii)
31
-
34.5
(iv)
31.5
-
34.5
(v)
32
-
34
Question
15
15.
Convert the continuous form of the class interval 13.5 - 22.5 to discontinuous form
(i)
13.5
-
22
(ii)
14
-
22
(iii)
14.5
-
21.5
(iv)
13.5
-
22.5
(v)
14
-
22.5
Question
16
16.
The class size used in the below table is
Class-Interval
38 - 47
48 - 57
58 - 67
68 - 77
78 - 87
88 - 97
98 - 107
Frequency
18
11
8
26
2
9
8
(i)
7
(ii)
12
(iii)
9
(iv)
11
(v)
10
Question
17
17.
The class size used in the below table is
Class-Interval
36 - 41
41 - 46
46 - 51
51 - 56
56 - 61
Frequency
1
12
18
16
21
(i)
6
(ii)
3
(iii)
5
(iv)
4
(v)
7
Question
18
18.
Which of the following are true?
a)
The true lower limit of the inclusive form class interval 50 - 60 is 50.
b)
Each numerical figure in a data set is called an observation.
c)
The true lower limit of the exclusive form class interval 50 - 60 is 50.
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)
{a,b}
(ii)
{a,b,c}
(iii)
{b,c,d}
(iv)
{a,e,d}
(v)
{e,c}
Question
19
19.
Which of the following class intervals are in inclusive form?
a)
19.5 - 29.5 , 29.5 - 39.5 , 39.5 - 49.5...
b)
20 - 29 , 29 - 38 , 38 - 47,...
c)
50 - 59 , 60 - 69 , 70 - 79,...
d)
47 - 56 , 56 - 65 , 65 - 74...
e)
20 - 29 , 30 - 39 , 40 - 49,...
(i)
{d,a,c}
(ii)
{b,e,c}
(iii)
{b,e}
(iv)
{c,e}
(v)
{a,c}
Question
20
20.
In inclusive form representation, the observation
22
falls in which class?
(i)
12
-
22
(ii)
2
-
12
(iii)
11
-
21
(iv)
23
-
32
(v)
7
-
17
Question
21
21.
In exclusive form representation, the observation
15
falls in which class?
(i)
10
-
15
(ii)
5
-
15
(iii)
15
-
25
(iv)
20
-
30
(v)
25
-
35
Question
22
22.
The class mark of the class with frequency x is
Class-Interval
Frequency
4 - 9
13
10 - 15
1
16 - 21
2
22 - 27
30
28 - 33
x
(i)
59
2
(ii)
63
2
(iii)
31
(iv)
121
4
(v)
61
2
Question
23
23.
The class mark of the class with frequency x is
Class-Interval
Frequency
2 - 7
27
7 - 12
x
12 - 17
11
17 - 22
15
22 - 27
30
(i)
37
4
(ii)
17
2
(iii)
19
2
(iv)
21
2
(v)
10
Question
24
24.
The mid value of the class with frequency x is
Class-Interval
Frequency
14 - 19
11
20 - 25
x
26 - 31
25
32 - 37
24
38 - 43
20
(i)
47
2
(ii)
89
4
(iii)
45
2
(iv)
23
(v)
43
2
Question
25
25.
The mid value of the class with frequency x is
Class-Interval
Frequency
7 - 17
15
17 - 27
28
27 - 37
29
37 - 47
11
47 - 57
x
(i)
54
(ii)
51
(iii)
52
(iv)
53
(v)
49
Question
26
26.
The class boundaries of the class with frequency x is
Class-Interval
Frequency
24 - 32
14
33 - 41
23
42 - 50
26
51 - 59
x
60 - 68
12
(i)
50.5
-
60
(ii)
50
-
60
(iii)
50
-
59.5
(iv)
51
-
59
(v)
50.5
-
59.5
Question
27
27.
The class boundaries of the class with frequency x is
Class-Interval
Frequency
15 - 22
5
22 - 29
12
29 - 36
x
36 - 43
23
43 - 50
1
(i)
28.5
-
36
(ii)
29
-
36
(iii)
29
-
36.5
(iv)
29.5
-
35.5
(v)
28.5
-
36.5
Question
28
28.
The true lower limit and true upper limit of the class with frequency x is
Class-Interval
Frequency
23 - 31
21
32 - 40
x
41 - 49
24
50 - 58
22
59 - 67
26
(i)
31.5
-
41
(ii)
31.5
-
40.5
(iii)
31
-
40.5
(iv)
31
-
41
(v)
32
-
40
Question
29
29.
The true lower limit and true upper limit of the class with frequency x is
Class-Interval
Frequency
11 - 18
5
18 - 25
x
25 - 32
19
32 - 39
28
39 - 46
26
(i)
18
-
25
(ii)
17.5
-
25
(iii)
18.5
-
24.5
(iv)
17.5
-
25.5
(v)
18
-
25.5
Question
30
30.
The lower limit of the class with frequency x is
Class-Interval
Frequency
50 - 55
15
56 - 61
25
62 - 67
30
68 - 73
18
74 - 79
x
(i)
75
(ii)
71
(iii)
73
(iv)
74
(v)
76
Question
31
31.
The upper limit of the class with frequency x is
Class-Interval
Frequency
23 - 32
20
32 - 41
2
41 - 50
x
50 - 59
11
59 - 68
3
(i)
48
(ii)
52
(iii)
50
(iv)
51
(v)
49
Question
32
32.
If the sample data with range 40 has to be divided into 6 class intervals, then the length of the class is
(i)
7
(ii)
10
(iii)
8
(iv)
6
(v)
4
Question
33
33.
If the length of the class is 7, then the number of class intervals needed to represent data with range 70 is
(i)
7
(ii)
11
(iii)
13
(iv)
9
(v)
10
Question
34
34.
The number of classes of class size
7
required to represent
the given random sample in exclusive form
2
2
2
7
8
9
10
15
16
17
22
25
25
29
34
34
39
42
43
45
47
48
49
50
(i)
8
(ii)
6
(iii)
4
(iv)
9
(v)
7
Question
35
35.
Which of the following are continuous variables?
a)
Weights of persons in a group.
b)
Wages of workers in a factory.
c)
Number of members in a family.
d)
Heights of children in a class.
e)
Number of workers in a factory.
(i)
{c,a}
(ii)
{c,a,b}
(iii)
{e,b}
(iv)
{a,b,d}
(v)
{c,e,d}
Question
36
36.
Which of the following are discontinuous variables?
a)
Weights of persons in a group.
b)
Heights of children in a class.
c)
Number of workers in a factory.
d)
Number of members in a family.
e)
Wages of workers in a factory.
(i)
{b,d}
(ii)
{c,d}
(iii)
{e,a,c}
(iv)
{a,c}
(v)
{b,d,c}
Question
37
37.
Which of the following class intervals are in exclusive form?
a)
24 - 31 , 32 - 39 , 40 - 47,...
b)
23.5 - 31.5 , 31.5 - 39.5 , 39.5 - 47.5...
c)
48 - 55 , 56 - 63 , 64 - 71,...
d)
45 - 52 , 52 - 59 , 59 - 66...
e)
24 - 31 , 31 - 38 , 38 - 45,...
(i)
{a,c,e}
(ii)
{a,b,d}
(iii)
{b,d,e}
(iv)
{c,d}
(v)
{a,b}
Question
38
38.
The class marks of a frequency distribution are
22 , 29 , 36 , 43
.
Find the class size and class intervals
in inclusive form
(i)
7
;
20
-
26
,
27
-
33
,
34
-
40
,
41
-
47
(ii)
7
;
19
-
25
,
26
-
32
,
33
-
39
,
40
-
46
(iii)
7
;
18
-
25
,
25
-
32
,
32
-
39
,
39
-
46
(iv)
6
;
19
-
25
,
25
-
31
,
31
-
37
,
37
-
43
(v)
7
;
18
-
24
,
25
-
31
,
32
-
38
,
39
-
45
Question
39
39.
The class marks of a frequency distribution are
33 , 43 , 53 , 63
.
Find the class size and class intervals
in exclusive form
(i)
12
;
27
-
38
,
39
-
50
,
51
-
62
,
63
-
74
(ii)
10
;
27
-
37
,
37
-
47
,
47
-
57
,
57
-
67
(iii)
11
;
28
-
38
,
39
-
49
,
50
-
60
,
61
-
71
(iv)
10
;
28
-
38
,
38
-
48
,
48
-
58
,
58
-
68
(v)
10
;
29
-
39
,
39
-
49
,
49
-
59
,
59
-
69
Question
40
40.
Which of the following are continuous variables?
a)
Population of cities
b)
Weights of persons in a group
c)
Marks obtained by student in a particular subject
d)
Rainfall at a place over a month
e)
Number of members in a family
(i)
{b,d}
(ii)
{e,a,b}
(iii)
{c,d,b}
(iv)
{a,b}
(v)
{c,d}
Question
41
41.
Which of the following are discrete variables?
a)
Marks obtained by student in a particular subject
b)
Temperature at a place over a month
c)
Rainfall at a place over a month
d)
Heights of children in a class
e)
Number of members in a family
(i)
{c,e,a}
(ii)
{d,b,a}
(iii)
{a,e}
(iv)
{b,a}
(v)
{c,e}
Assignment Key
1) (v)
2) (i)
3) (iii)
4) (iv)
5) (i)
6) (iii)
7) (iv)
8) (iii)
9) (v)
10) (ii)
11) (v)
12) (ii)
13) (iii)
14) (iv)
15) (ii)
16) (v)
17) (iii)
18) (iii)
19) (iv)
20) (i)
21) (iii)
22) (v)
23) (iii)
24) (iii)
25) (iii)
26) (v)
27) (ii)
28) (ii)
29) (i)
30) (iv)
31) (iii)
32) (i)
33) (v)
34) (v)
35) (iv)
36) (ii)
37) (iii)
38) (ii)
39) (iv)
40) (i)
41) (iii)
