EduSahara™ Assignment
Name : Class Interval Table Concepts
Chapter : Statistics
Grade : CBSE Grade IX
License : Non Commercial Use
Question
1
1.
Given class interval
14
-
24
in exclusive form, its
lower limit is
(i)
14
(ii)
11
(iii)
15
(iv)
16
(v)
13
Question
2
2.
Given class interval
22
-
31
in exclusive form, its
upper limit is
(i)
32
(ii)
31
(iii)
28
(iv)
30
(v)
33
Question
3
3.
Given class interval
27
-
34
in exclusive form, its
class size is
(i)
4
(ii)
8
(iii)
6
(iv)
10
(v)
7
Question
4
4.
Given class interval
46
-
49
in exclusive form, its
class mark is
(i)
189
4
(ii)
97
2
(iii)
93
2
(iv)
95
2
(v)
48
Question
5
5.
Given class interval
19
-
29
in exclusive form, its
mid value is
(i)
25
(ii)
23
(iii)
24
(iv)
26
(v)
22
Question
6
6.
If the upper and lower limit of class interval are 13 and 10 respectively, then the class interval is
(i)
9.5
-
13.5
(ii)
10
-
13
(iii)
10.5
-
12.5
(iv)
9.5
-
13
(v)
10
-
13.5
Question
7
7.
If the lower and upper limit of class interval are 48 and 58 respectively, then the class interval is
(i)
47.5
-
58.5
(ii)
48
-
58
(iii)
48
-
58.5
(iv)
47.5
-
58
(v)
48.5
-
57.5
Question
8
8.
The class boundaries of 30 - 35 which is in exclusive form are
(i)
30
-
35.5
(ii)
30.5
-
34.5
(iii)
30
-
35
(iv)
29.5
-
35.5
(v)
29.5
-
35
Question
9
9.
The class boundaries of 44 - 51 which is in inclusive form are
(i)
43.5
-
51.5
(ii)
43.5
-
52
(iii)
43
-
51.5
(iv)
44
-
51
(v)
43
-
52
Question
10
10.
Convert the exclusive form of the class interval 19.5 - 30.5 to inclusive form
(i)
20.5
-
29.5
(ii)
19.5
-
30.5
(iii)
20
-
30.5
(iv)
20
-
30
(v)
19.5
-
30
Question
11
11.
Convert the inclusive form of the class interval 30 - 35 to exclusive form
(i)
29.5
-
36
(ii)
30
-
35
(iii)
29.5
-
35.5
(iv)
29
-
35.5
(v)
29
-
36
Question
12
12.
Convert the discontinuous form of the class interval 19 - 25 to continuous form
(i)
18.5
-
25.5
(ii)
18
-
26
(iii)
18
-
25.5
(iv)
19
-
25
(v)
18.5
-
26
Question
13
13.
Convert the continuous form of the class interval 40.5 - 47.5 to discontinuous form
(i)
41
-
47
(ii)
41.5
-
46.5
(iii)
40.5
-
47
(iv)
40.5
-
47.5
(v)
41
-
47.5
Question
14
14.
The class size used in the below table is
Class-Interval
43 - 53
54 - 64
65 - 75
76 - 86
87 - 97
Frequency
26
6
1
27
29
(i)
14
(ii)
11
(iii)
12
(iv)
8
(v)
10
Question
15
15.
The class size used in the below table is
Class-Interval
41 - 49
49 - 57
57 - 65
65 - 73
73 - 81
81 - 89
89 - 97
97 - 105
Frequency
25
27
13
19
16
20
4
11
(i)
5
(ii)
7
(iii)
11
(iv)
8
(v)
9
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)
{b,a}
(ii)
{b,e,d}
(iii)
{b,a,c}
(iv)
{a,c,d}
(v)
{e,c}
Question
17
17.
Which of the following class intervals are in inclusive form?
a)
27 - 34 , 35 - 42 , 43 - 50,...
b)
51 - 58 , 59 - 66 , 67 - 74,...
c)
48 - 55 , 55 - 62 , 62 - 69...
d)
27 - 34 , 34 - 41 , 41 - 48,...
e)
26.5 - 34.5 , 34.5 - 42.5 , 42.5 - 50.5...
(i)
{a,b}
(ii)
{d,b,a}
(iii)
{d,b}
(iv)
{e,c,a}
(v)
{c,a}
Question
18
18.
In inclusive form representation, the observation
50
falls in which class?
(i)
51
-
60
(ii)
30
-
40
(iii)
39
-
49
(iv)
35
-
45
(v)
40
-
50
Question
19
19.
In exclusive form representation, the observation
46
falls in which class?
(i)
56
-
66
(ii)
41
-
46
(iii)
51
-
61
(iv)
46
-
56
(v)
36
-
46
Question
20
20.
The class boundaries of the class with frequency x is
Class-Interval
Frequency
10 - 18
30
19 - 27
x
28 - 36
28
37 - 45
3
46 - 54
19
(i)
18
-
27.5
(ii)
19
-
27
(iii)
18
-
28
(iv)
18.5
-
27.5
(v)
18.5
-
28
Question
21
21.
The class boundaries of the class with frequency x is
Class-Interval
Frequency
34 - 39
28
39 - 44
10
44 - 49
13
49 - 54
x
54 - 59
20
(i)
48.5
-
54.5
(ii)
49.5
-
53.5
(iii)
48.5
-
54
(iv)
49
-
54.5
(v)
49
-
54
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
12
33 - 39
26
40 - 46
1
47 - 53
30
(i)
18.5
-
26
(ii)
18.5
-
25.5
(iii)
19
-
25
(iv)
18
-
26
(v)
18
-
25.5
Question
23
23.
The true lower limit and true upper limit of the class with frequency x is
Class-Interval
Frequency
13 - 18
6
18 - 23
30
23 - 28
10
28 - 33
x
33 - 38
30
(i)
28
-
33
(ii)
28
-
33.5
(iii)
28.5
-
32.5
(iv)
27.5
-
33
(v)
27.5
-
33.5
Question
24
24.
The lower limit of the class with frequency x is
Class-Interval
Frequency
29 - 36
x
37 - 44
5
45 - 52
23
53 - 60
16
61 - 68
27
(i)
27
(ii)
28
(iii)
29
(iv)
30
(v)
32
Question
25
25.
The upper limit of the class with frequency x is
Class-Interval
Frequency
26 - 31
21
31 - 36
1
36 - 41
x
41 - 46
19
46 - 51
12
(i)
42
(ii)
41
(iii)
43
(iv)
38
(v)
40
Question
26
26.
If the sample data with range 50 has to be divided into 5 class intervals, then the length of the class is
(i)
9
(ii)
8
(iii)
11
(iv)
13
(v)
10
Question
27
27.
If the length of the class is 18, then the number of class intervals needed to represent data with range 70 is
(i)
2
(ii)
4
(iii)
3
(iv)
7
(v)
5
Question
28
28.
The number of classes of class size
7
required to represent
the given random sample in exclusive form
5
7
9
11
12
12
13
13
14
14
15
16
16
16
17
17
18
18
18
20
20
22
22
23
25
26
26
27
31
33
35
36
37
39
48
48
49
50
50
50
(i)
6
(ii)
7
(iii)
4
(iv)
8
(v)
10
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
29
falls in which class?
(i)
23
-
32
(ii)
23.5
-
31.5
(iii)
22
-
31
(iv)
24
-
33
(v)
22.5
-
32.5
Question
30
30.
If some random sample data is arranged in a frequency distribution table in
exclusive form
with
1
-
10
as the first class,
then the observation
25
falls in which class?
(i)
19
-
28
(ii)
18
-
27
(iii)
18.5
-
28.5
(iv)
19.5
-
27.5
(v)
20
-
29
Question
31
31.
Given class interval table, find the sum of frequencies.
Class-Interval
38 - 44
44 - 50
50 - 56
56 - 62
62 - 68
68 - 74
74 - 80
80 - 86
Frequency
11
14
17
10
28
16
14
15
(i)
125
(ii)
122
(iii)
126
(iv)
128
(v)
124
Question
32
32.
Which of the following are continuous variables?
a)
Weights of persons in a group.
b)
Number of workers in a factory.
c)
Heights of children in a class.
d)
Number of members in a family.
e)
Wages of workers in a factory.
(i)
{d,c}
(ii)
{b,d,e}
(iii)
{a,c,e}
(iv)
{b,a}
(v)
{b,a,c}
Question
33
33.
Which of the following are discontinuous variables?
a)
Number of members in a family.
b)
Wages of workers in a factory.
c)
Heights of children in a class.
d)
Number of workers in a factory.
e)
Weights of persons in a group.
(i)
{c,d}
(ii)
{c,d,a}
(iii)
{a,d}
(iv)
{e,b,a}
(v)
{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
Frequency
47
22
26
10
22
(i)
Class-Interval
14.5 - 23.5
24.5 - 33.5
34.5 - 43.5
44.5 - 53.5
54.5 - 63.5
Frequency
47
22
26
10
22
(ii)
Class-Interval
14 - 23
23 - 32
32 - 41
41 - 50
50 - 59
Frequency
36
45
19
31
44
(iii)
Class-Interval
13.5 - 23.5
23.5 - 33.5
33.5 - 43.5
43.5 - 53.5
53.5 - 63.5
Frequency
47
22
26
10
22
(iv)
Class-Interval
13.5 - 22.5
23.5 - 32.5
33.5 - 42.5
43.5 - 52.5
53.5 - 62.5
Frequency
47
22
26
10
22
(v)
Class-Interval
13.5 - 23
23.5 - 33
33.5 - 43
43.5 - 53
53.5 - 63
Frequency
47
22
26
10
22
Question
35
35.
Which of the following class intervals are in exclusive form?
a)
16 - 22 , 23 - 29 , 30 - 36,...
b)
16 - 22 , 22 - 28 , 28 - 34,...
c)
15.5 - 22.5 , 22.5 - 29.5 , 29.5 - 36.5...
d)
37 - 43 , 44 - 50 , 51 - 57,...
e)
34 - 40 , 40 - 46 , 46 - 52...
(i)
{a,b,c}
(ii)
{b,c,e}
(iii)
{a,b}
(iv)
{d,c}
(v)
{a,d,e}
Question
36
36.
If the mean of the following frequency distribution is
9
13
32
,
find the value of 'x'.
Value
Frequency
4
5
5
1
7
2
8
6
9
3
10
x
11
4
13
4
14
4
15
1
(i)
0
(ii)
5
(iii)
2
(iv)
1
(v)
3
Question
37
37.
If the sum of the following frequency distribution is
35
,
find the value of 'x'.
Class-Interval
Frequency
20 - 26
9
27 - 33
2
34 - 40
2
41 - 47
9
48 - 54
3
55 - 61
4
62 - 68
x
69 - 75
5
(i)
2
(ii)
0
(iii)
4
(iv)
-1
(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)
Number of members in a family
b)
Number of workers in a factory
c)
Heights of children in a class
d)
Wages of workers in a factory
e)
Marks obtained by student in a particular subject
(i)
{a,c}
(ii)
{e,a,c}
(iii)
{b,d,c}
(iv)
{b,d}
(v)
{c,d}
Question
40
40.
Which of the following are discrete variables?
a)
Temperature at a place over a month
b)
Population of cities
c)
Wages of workers in a factory
d)
Number of players in a team
e)
Heights of children in a class
(i)
{b,d}
(ii)
{a,b}
(iii)
{c,d,b}
(iv)
{e,a,b}
(v)
{c,d}
Question
41
41.
Find the sum of frequencies for the given table
Value
16
51
57
65
68
73
74
85
90
Frequency
1
1
2
1
1
1
1
1
1
(i)
13
(ii)
9
(iii)
7
(iv)
10
(v)
11
Question
42
42.
Given class interval table, find the sum of frequencies.
Class-Interval
23 - 30
31 - 38
39 - 46
47 - 54
55 - 62
63 - 70
Frequency
29
8
28
11
22
13
(i)
108
(ii)
114
(iii)
111
(iv)
112
(v)
110
Question
43
43.
The class marks of a frequency distribution are
32.5 , 38.5 , 44.5 , 50.5
.
Find the class size and class intervals
in inclusive form
(i)
6
;
31
-
36
,
37
-
42
,
43
-
48
,
49
-
54
(ii)
6
;
29
-
35
,
35
-
41
,
41
-
47
,
47
-
53
(iii)
6
;
29
-
34
,
35
-
40
,
41
-
46
,
47
-
52
(iv)
5
;
30
-
35
,
35
-
40
,
40
-
45
,
45
-
50
(v)
6
;
30
-
35
,
36
-
41
,
42
-
47
,
48
-
53
Question
44
44.
The class marks of a frequency distribution are
19.5 , 24.5 , 29.5 , 34.5
.
Find the class size and class intervals
in exclusive form
(i)
5
;
18
-
23
,
23
-
28
,
28
-
33
,
33
-
38
(ii)
5
;
16
-
21
,
21
-
26
,
26
-
31
,
31
-
36
(iii)
7
;
16
-
22
,
23
-
29
,
30
-
36
,
37
-
43
(iv)
6
;
17
-
22
,
23
-
28
,
29
-
34
,
35
-
40
(v)
5
;
17
-
22
,
22
-
27
,
27
-
32
,
32
-
37
Assignment Key
1) (i)
2) (ii)
3) (v)
4) (iv)
5) (iii)
6) (ii)
7) (ii)
8) (iii)
9) (i)
10) (iv)
11) (iii)
12) (i)
13) (i)
14) (ii)
15) (iv)
16) (iv)
17) (i)
18) (v)
19) (iv)
20) (iv)
21) (v)
22) (ii)
23) (i)
24) (iii)
25) (ii)
26) (v)
27) (ii)
28) (ii)
29) (i)
30) (i)
31) (i)
32) (iii)
33) (iii)
34) (iii)
35) (ii)
36) (iii)
37) (v)
38) (ii)
39) (v)
40) (i)
41) (iv)
42) (iii)
43) (v)
44) (v)
