EduSahara™ Assignment
Name : Class Interval Table Concepts
Chapter : Statistics
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
Given class interval
17
-
21
in exclusive form, its
lower limit is
(i)
14
(ii)
20
(iii)
18
(iv)
16
(v)
17
Question
2
2.
Given class interval
19
-
25
in exclusive form, its
upper limit is
(i)
24
(ii)
23
(iii)
26
(iv)
28
(v)
25
Question
3
3.
Given class interval
16
-
25
in exclusive form, its
class size is
(i)
7
(ii)
8
(iii)
10
(iv)
9
(v)
11
Question
4
4.
Given class interval
13
-
18
in exclusive form, its
class mark is
(i)
31
2
(ii)
16
(iii)
33
2
(iv)
61
4
(v)
29
2
Question
5
5.
Given class interval
23
-
25
in exclusive form, its
mid value is
(i)
22
(ii)
24
(iii)
26
(iv)
23
(v)
25
Question
6
6.
If the upper and lower limit of class interval are 34 and 31 respectively, then the class interval is
(i)
31.5
-
33.5
(ii)
31
-
34.5
(iii)
30.5
-
34.5
(iv)
30.5
-
34
(v)
31
-
34
Question
7
7.
If the lower and upper limit of class interval are 32 and 39 respectively, then the class interval is
(i)
32.5
-
38.5
(ii)
32
-
39.5
(iii)
31.5
-
39.5
(iv)
32
-
39
(v)
31.5
-
39
Question
8
8.
The class boundaries of 28 - 37 which is in exclusive form are
(i)
28
-
37
(ii)
28.5
-
36.5
(iii)
27.5
-
37
(iv)
28
-
37.5
(v)
27.5
-
37.5
Question
9
9.
The class boundaries of 44 - 51 which is in inclusive form are
(i)
44
-
51
(ii)
43
-
52
(iii)
43
-
51.5
(iv)
43.5
-
51.5
(v)
43.5
-
52
Question
10
10.
Convert the exclusive form of the class interval 45.5 - 55.5 to inclusive form
(i)
45.5
-
55.5
(ii)
46
-
55
(iii)
46
-
55.5
(iv)
46.5
-
54.5
(v)
45.5
-
55
Question
11
11.
Convert the inclusive form of the class interval 45 - 53 to exclusive form
(i)
45
-
53
(ii)
44
-
53.5
(iii)
44.5
-
53.5
(iv)
44.5
-
54
(v)
44
-
54
Question
12
12.
Convert the discontinuous form of the class interval 15 - 19 to continuous form
(i)
14.5
-
19.5
(ii)
14
-
19.5
(iii)
14.5
-
20
(iv)
15
-
19
(v)
14
-
20
Question
13
13.
Convert the continuous form of the class interval 9.5 - 17.5 to discontinuous form
(i)
10
-
17.5
(ii)
10.5
-
16.5
(iii)
9.5
-
17
(iv)
10
-
17
(v)
9.5
-
17.5
Question
14
14.
The class size used in the below table is
Class-Interval
18 - 23
24 - 29
30 - 35
36 - 41
42 - 47
48 - 53
Frequency
1
1
2
26
15
24
(i)
5
(ii)
4
(iii)
7
(iv)
6
(v)
8
Question
15
15.
The class size used in the below table is
Class-Interval
17 - 25
25 - 33
33 - 41
41 - 49
Frequency
28
18
10
3
(i)
7
(ii)
9
(iii)
11
(iv)
8
(v)
6
Question
16
16.
Which of the following are true?
a)
The difference between the true upper limit and true lower limit is called the class mark.
b)
The true lower limit of the exclusive form class interval 30 - 40 is 30.
c)
The number of times a particular observation occurs is called its frequency.
d)
Each numerical figure in a data set is called an observation.
e)
The true lower limit of the inclusive form class interval 30 - 40 is 30.
(i)
{a,e,d}
(ii)
{e,c}
(iii)
{a,b,c}
(iv)
{a,b}
(v)
{b,c,d}
Question
17
17.
Which of the following class intervals are in inclusive form?
a)
18.5 - 28.5 , 28.5 - 38.5 , 38.5 - 48.5...
b)
19 - 28 , 28 - 37 , 37 - 46,...
c)
19 - 28 , 29 - 38 , 39 - 48,...
d)
46 - 55 , 55 - 64 , 64 - 73...
e)
49 - 58 , 59 - 68 , 69 - 78,...
(i)
{b,e}
(ii)
{a,c}
(iii)
{b,e,c}
(iv)
{d,a,c}
(v)
{c,e}
Question
18
18.
In inclusive form representation, the observation
33
falls in which class?
(i)
22
-
32
(ii)
34
-
43
(iii)
13
-
23
(iv)
23
-
33
(v)
18
-
28
Question
19
19.
In exclusive form representation, the observation
33
falls in which class?
(i)
28
-
33
(ii)
38
-
48
(iii)
23
-
33
(iv)
43
-
53
(v)
33
-
43
Question
20
20.
The class mark of the class with frequency x is
Class-Interval
Frequency
3 - 13
14
14 - 24
19
25 - 35
x
36 - 46
5
47 - 57
4
(i)
28
(ii)
31
(iii)
29
(iv)
30
(v)
32
Question
21
21.
The class mark of the class with frequency x is
Class-Interval
Frequency
13 - 23
29
23 - 33
17
33 - 43
28
43 - 53
x
53 - 63
20
(i)
46
(ii)
47
(iii)
51
(iv)
48
(v)
49
Question
22
22.
The mid value of the class with frequency x is
Class-Interval
Frequency
10 - 15
15
16 - 21
5
22 - 27
x
28 - 33
13
34 - 39
26
(i)
49
2
(ii)
47
2
(iii)
97
4
(iv)
51
2
(v)
25
Question
23
23.
The mid value of the class with frequency x is
Class-Interval
Frequency
2 - 12
8
12 - 22
1
22 - 32
29
32 - 42
6
42 - 52
x
(i)
47
(ii)
50
(iii)
46
(iv)
48
(v)
45
Question
24
24.
The class boundaries of the class with frequency x is
Class-Interval
Frequency
11 - 19
11
20 - 28
27
29 - 37
9
38 - 46
15
47 - 55
x
(i)
46.5
-
55.5
(ii)
47
-
55
(iii)
46
-
56
(iv)
46.5
-
56
(v)
46
-
55.5
Question
25
25.
The class boundaries of the class with frequency x is
Class-Interval
Frequency
17 - 23
14
23 - 29
27
29 - 35
15
35 - 41
x
41 - 47
3
(i)
34.5
-
41.5
(ii)
35.5
-
40.5
(iii)
35
-
41.5
(iv)
35
-
41
(v)
34.5
-
41
Question
26
26.
The true lower limit and true upper limit of the class with frequency x is
Class-Interval
Frequency
25 - 32
22
33 - 40
12
41 - 48
x
49 - 56
24
57 - 64
21
(i)
41
-
48
(ii)
40.5
-
48.5
(iii)
40
-
48.5
(iv)
40.5
-
49
(v)
40
-
49
Question
27
27.
The true lower limit and true upper limit of the class with frequency x is
Class-Interval
Frequency
20 - 26
27
26 - 32
17
32 - 38
7
38 - 44
x
44 - 50
5
(i)
38
-
44.5
(ii)
37.5
-
44
(iii)
38.5
-
43.5
(iv)
37.5
-
44.5
(v)
38
-
44
Question
28
28.
The lower limit of the class with frequency x is
Class-Interval
Frequency
50 - 57
18
58 - 65
x
66 - 73
21
74 - 81
1
82 - 89
26
(i)
57
(ii)
59
(iii)
61
(iv)
55
(v)
58
Question
29
29.
The upper limit of the class with frequency x is
Class-Interval
Frequency
44 - 52
13
52 - 60
x
60 - 68
16
68 - 76
26
76 - 84
4
(i)
57
(ii)
60
(iii)
61
(iv)
59
(v)
62
Question
30
30.
If the sample data with range 30 has to be divided into 10 class intervals, then the length of the class is
(i)
0
(ii)
4
(iii)
2
(iv)
3
(v)
5
Question
31
31.
If the length of the class is 6, then the number of class intervals needed to represent data with range 50 is
(i)
10
(ii)
9
(iii)
6
(iv)
11
(v)
8
Question
32
32.
The number of classes of class size
8
required to represent
the given random sample in exclusive form
1
2
4
5
6
6
7
8
11
12
13
15
17
18
20
21
21
22
22
23
24
28
32
33
35
35
35
36
40
41
44
45
49
50
(i)
6
(ii)
8
(iii)
9
(iv)
4
(v)
7
Question
33
33.
If some random sample data is arranged in a frequency distribution table in
inclusive form
with
4
-
8
as the first class,
then the observation
32
falls in which class?
(i)
28.5
-
33.5
(ii)
29.5
-
32.5
(iii)
28
-
32
(iv)
30
-
34
(v)
29
-
33
Question
34
34.
If some random sample data is arranged in a frequency distribution table in
exclusive form
with
4
-
12
as the first class,
then the observation
35
falls in which class?
(i)
28
-
36
(ii)
28.5
-
35.5
(iii)
29
-
37
(iv)
27.5
-
36.5
(v)
27
-
35
Question
35
35.
Given class interval table, find the sum of frequencies.
Class-Interval
46 - 51
52 - 57
58 - 63
64 - 69
70 - 75
76 - 81
82 - 87
88 - 93
Frequency
25
26
24
17
24
17
18
19
(i)
172
(ii)
167
(iii)
171
(iv)
170
(v)
169
Question
36
36.
Given class interval table, find the sum of frequencies.
Class-Interval
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
80 - 90
90 - 100
Frequency
30
26
28
1
12
16
18
1
(i)
130
(ii)
134
(iii)
132
(iv)
131
(v)
133
Question
37
37.
Which of the following are continuous variables?
a)
Number of members in a family.
b)
Wages of workers in a factory.
c)
Weights of persons in a group.
d)
Number of workers in a factory.
e)
Heights of children in a class.
(i)
{a,b,c}
(ii)
{d,c}
(iii)
{a,d,e}
(iv)
{b,c,e}
(v)
{a,b}
Question
38
38.
Which of the following are discontinuous variables?
a)
Heights of children in a class.
b)
Number of members in a family.
c)
Wages of workers in a factory.
d)
Number of workers in a factory.
e)
Weights of persons in a group.
(i)
{c,d}
(ii)
{a,b}
(iii)
{e,a,b}
(iv)
{b,d}
(v)
{c,d,b}
Question
39
39.
If the sum of the following frequency distribution is
31
,
find the value of 'x'.
Class-Interval
Frequency
20 - 26
7
27 - 33
4
34 - 40
1
41 - 47
3
48 - 54
3
55 - 61
4
62 - 68
x
(i)
10
(ii)
9
(iii)
7
(iv)
8
(v)
12
Question
40
40.
The class marks of a frequency distribution are
28 , 39 , 50 , 61
.
Find the class size and class intervals
in inclusive form
(i)
11
;
24
-
34
,
35
-
45
,
46
-
56
,
57
-
67
(ii)
11
;
22
-
32
,
33
-
43
,
44
-
54
,
55
-
65
(iii)
10
;
23
-
33
,
33
-
43
,
43
-
53
,
53
-
63
(iv)
11
;
23
-
33
,
34
-
44
,
45
-
55
,
56
-
66
(v)
11
;
22
-
33
,
33
-
44
,
44
-
55
,
55
-
66
Question
41
41.
The class marks of a frequency distribution are
27.5 , 32.5 , 37.5 , 42.5
.
Find the class size and class intervals
in exclusive form
(i)
5
;
26
-
31
,
31
-
36
,
36
-
41
,
41
-
46
(ii)
5
;
25
-
30
,
30
-
35
,
35
-
40
,
40
-
45
(iii)
7
;
24
-
30
,
31
-
37
,
38
-
44
,
45
-
51
(iv)
5
;
24
-
29
,
29
-
34
,
34
-
39
,
39
-
44
(v)
6
;
25
-
30
,
31
-
36
,
37
-
42
,
43
-
48
Question
42
42.
Which of the following are continuous variables?
a)
Number of players in a team
b)
Temperature at a place over a month
c)
Wages of workers in a factory
d)
Number of members in a family
e)
Number of workers in a factory
(i)
{d,c,b}
(ii)
{d,c}
(iii)
{b,c}
(iv)
{e,a,b}
(v)
{a,b}
Question
43
43.
Which of the following are discrete variables?
a)
Weights of persons in a group
b)
Number of workers in a factory
c)
Marks obtained by student in a particular subject
d)
Heights of children in a class
e)
Rainfall at a place over a month
(i)
{a,b}
(ii)
{d,c}
(iii)
{e,a,b}
(iv)
{d,c,b}
(v)
{b,c}
Question
44
44.
Which of the following class intervals are in exclusive form?
a)
19.5 - 30.5 , 30.5 - 41.5 , 41.5 - 52.5...
b)
50 - 60 , 60 - 70 , 70 - 80...
c)
20 - 30 , 30 - 40 , 40 - 50,...
d)
20 - 30 , 31 - 41 , 42 - 52,...
e)
53 - 63 , 64 - 74 , 75 - 85,...
(i)
{a,b,c}
(ii)
{d,e,c}
(iii)
{d,a,b}
(iv)
{e,b}
(v)
{d,a}
Question
45
45.
Given table in inclusive form, convert it into exclusive form.
Class-Interval
13 - 20
21 - 28
29 - 36
37 - 44
45 - 52
53 - 60
Frequency
22
45
43
24
36
27
(i)
Class-Interval
12.5 - 20
20.5 - 28
28.5 - 36
36.5 - 44
44.5 - 52
52.5 - 60
Frequency
22
45
43
24
36
27
(ii)
Class-Interval
13.5 - 20.5
21.5 - 28.5
29.5 - 36.5
37.5 - 44.5
45.5 - 52.5
53.5 - 60.5
Frequency
22
45
43
24
36
27
(iii)
Class-Interval
12.5 - 20.5
20.5 - 28.5
28.5 - 36.5
36.5 - 44.5
44.5 - 52.5
52.5 - 60.5
Frequency
22
45
43
24
36
27
(iv)
Class-Interval
12.5 - 19.5
20.5 - 27.5
28.5 - 35.5
36.5 - 43.5
44.5 - 51.5
52.5 - 59.5
Frequency
22
45
43
24
36
27
(v)
Class-Interval
13 - 20
20 - 27
27 - 34
34 - 41
41 - 48
48 - 55
Frequency
47
24
19
40
22
14
Assignment Key
1) (v)
2) (v)
3) (iv)
4) (i)
5) (ii)
6) (v)
7) (iv)
8) (i)
9) (iv)
10) (ii)
11) (iii)
12) (i)
13) (iv)
14) (iv)
15) (iv)
16) (v)
17) (v)
18) (iv)
19) (v)
20) (iv)
21) (iv)
22) (i)
23) (i)
24) (i)
25) (iv)
26) (ii)
27) (v)
28) (v)
29) (ii)
30) (iv)
31) (ii)
32) (v)
33) (v)
34) (i)
35) (iv)
36) (iii)
37) (iv)
38) (iv)
39) (ii)
40) (iv)
41) (ii)
42) (iii)
43) (v)
44) (i)
45) (iii)
