EduSahara™ Assignment
Name : Class Interval Table Concepts
Chapter : Statistics
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
Given class interval
45
-
55
in exclusive form, its
lower limit is
(i)
46
(ii)
43
(iii)
45
(iv)
44
(v)
48
Question
2
2.
Given class interval
20
-
26
in exclusive form, its
upper limit is
(i)
28
(ii)
27
(iii)
26
(iv)
24
(v)
25
Question
3
3.
Given class interval
29
-
34
in exclusive form, its
class size is
(i)
6
(ii)
5
(iii)
2
(iv)
8
(v)
4
Question
4
4.
Given class interval
14
-
20
in exclusive form, its
class mark is
(i)
20
(ii)
16
(iii)
17
(iv)
15
(v)
18
Question
5
5.
Given class interval
17
-
22
in exclusive form, its
mid value is
(i)
77
4
(ii)
37
2
(iii)
20
(iv)
39
2
(v)
41
2
Question
6
6.
If the upper and lower limit of class interval are 20 and 11 respectively, then the class interval is
(i)
10.5
-
20.5
(ii)
11.5
-
19.5
(iii)
11
-
20
(iv)
10.5
-
20
(v)
11
-
20.5
Question
7
7.
If the lower and upper limit of class interval are 50 and 53 respectively, then the class interval is
(i)
50
-
53
(ii)
49.5
-
53
(iii)
50
-
53.5
(iv)
50.5
-
52.5
(v)
49.5
-
53.5
Question
8
8.
The class boundaries of 10 - 14 which is in exclusive form are
(i)
9.5
-
14.5
(ii)
9.5
-
14
(iii)
10.5
-
13.5
(iv)
10
-
14.5
(v)
10
-
14
Question
9
9.
The class boundaries of 18 - 21 which is in inclusive form are
(i)
17.5
-
22
(ii)
17
-
21.5
(iii)
17.5
-
21.5
(iv)
17
-
22
(v)
18
-
21
Question
10
10.
Convert the exclusive form of the class interval 34.5 - 45.5 to inclusive form
(i)
34.5
-
45.5
(ii)
35
-
45.5
(iii)
35
-
45
(iv)
34.5
-
45
(v)
35.5
-
44.5
Question
11
11.
Convert the inclusive form of the class interval 39 - 46 to exclusive form
(i)
39
-
46
(ii)
38.5
-
46.5
(iii)
38
-
46.5
(iv)
38
-
47
(v)
38.5
-
47
Question
12
12.
Convert the discontinuous form of the class interval 47 - 51 to continuous form
(i)
47
-
51
(ii)
46
-
51.5
(iii)
46.5
-
51.5
(iv)
46.5
-
52
(v)
46
-
52
Question
13
13.
Convert the continuous form of the class interval 11.5 - 16.5 to discontinuous form
(i)
11.5
-
16
(ii)
12
-
16
(iii)
11.5
-
16.5
(iv)
12.5
-
15.5
(v)
12
-
16.5
Question
14
14.
The class size used in the below table is
Class-Interval
33 - 42
43 - 52
53 - 62
63 - 72
73 - 82
83 - 92
93 - 102
Frequency
14
5
18
30
19
9
7
(i)
9
(ii)
10
(iii)
8
(iv)
12
(v)
11
Question
15
15.
The class size used in the below table is
Class-Interval
44 - 54
54 - 64
64 - 74
74 - 84
84 - 94
94 - 104
104 - 114
Frequency
29
26
14
14
18
26
9
(i)
11
(ii)
12
(iii)
10
(iv)
9
(v)
8
Question
16
16.
Which of the following are true?
a)
The true lower limit of the exclusive form class interval 20 - 30 is 20.
b)
The difference between the true upper limit and true lower limit is called the class mark.
c)
The true lower limit of the inclusive form class interval 20 - 30 is 20.
d)
Each numerical figure in a data set is called an observation.
e)
The number of times a particular observation occurs is called its frequency.
(i)
{b,a}
(ii)
{b,a,d}
(iii)
{b,c,e}
(iv)
{a,d,e}
(v)
{c,d}
Question
17
17.
Which of the following class intervals are in inclusive form?
a)
41 - 46 , 47 - 52 , 53 - 58,...
b)
23 - 28 , 29 - 34 , 35 - 40,...
c)
38 - 43 , 43 - 48 , 48 - 53...
d)
23 - 28 , 28 - 33 , 33 - 38,...
e)
22.5 - 28.5 , 28.5 - 34.5 , 34.5 - 40.5...
(i)
{c,a}
(ii)
{a,b}
(iii)
{e,c,a}
(iv)
{d,b,a}
(v)
{d,b}
Question
18
18.
In inclusive form representation, the observation
40
falls in which class?
(i)
29
-
39
(ii)
25
-
35
(iii)
20
-
30
(iv)
41
-
50
(v)
30
-
40
Question
19
19.
In exclusive form representation, the observation
46
falls in which class?
(i)
41
-
46
(ii)
46
-
56
(iii)
36
-
46
(iv)
51
-
61
(v)
56
-
66
Question
20
20.
The class mark of the class with frequency x is
Class-Interval
Frequency
8 - 18
22
19 - 29
21
30 - 40
x
41 - 51
9
52 - 62
25
(i)
34
(ii)
35
(iii)
36
(iv)
33
(v)
38
Question
21
21.
The class mark of the class with frequency x is
Class-Interval
Frequency
19 - 24
8
24 - 29
27
29 - 34
x
34 - 39
24
39 - 44
10
(i)
65
2
(ii)
32
(iii)
125
4
(iv)
63
2
(v)
61
2
Question
22
22.
The mid value of the class with frequency x is
Class-Interval
Frequency
17 - 22
23
23 - 28
x
29 - 34
3
35 - 40
1
41 - 46
18
(i)
101
4
(ii)
26
(iii)
49
2
(iv)
53
2
(v)
51
2
Question
23
23.
The mid value of the class with frequency x is
Class-Interval
Frequency
16 - 21
13
21 - 26
1
26 - 31
16
31 - 36
x
36 - 41
27
(i)
69
2
(ii)
133
4
(iii)
67
2
(iv)
34
(v)
65
2
Question
24
24.
The class boundaries of the class with frequency x is
Class-Interval
Frequency
18 - 25
2
26 - 33
21
34 - 41
13
42 - 49
30
50 - 57
x
(i)
50
-
57
(ii)
49
-
58
(iii)
49.5
-
57.5
(iv)
49
-
57.5
(v)
49.5
-
58
Question
25
25.
The class boundaries of the class with frequency x is
Class-Interval
Frequency
49 - 56
6
56 - 63
2
63 - 70
x
70 - 77
7
77 - 84
16
(i)
62.5
-
70.5
(ii)
63
-
70.5
(iii)
62.5
-
70
(iv)
63.5
-
69.5
(v)
63
-
70
Question
26
26.
The true lower limit and true upper limit of the class with frequency x is
Class-Interval
Frequency
48 - 54
8
55 - 61
x
62 - 68
10
69 - 75
13
76 - 82
3
(i)
54
-
61.5
(ii)
54.5
-
61.5
(iii)
55
-
61
(iv)
54.5
-
62
(v)
54
-
62
Question
27
27.
The true lower limit and true upper limit of the class with frequency x is
Class-Interval
Frequency
39 - 46
28
46 - 53
22
53 - 60
19
60 - 67
19
67 - 74
x
(i)
67.5
-
73.5
(ii)
67
-
74.5
(iii)
66.5
-
74.5
(iv)
67
-
74
(v)
66.5
-
74
Question
28
28.
The lower limit of the class with frequency x is
Class-Interval
Frequency
27 - 32
x
33 - 38
20
39 - 44
30
45 - 50
15
51 - 56
16
(i)
28
(ii)
26
(iii)
27
(iv)
24
(v)
29
Question
29
29.
The upper limit of the class with frequency x is
Class-Interval
Frequency
41 - 46
x
46 - 51
4
51 - 56
20
56 - 61
2
61 - 66
7
(i)
46
(ii)
45
(iii)
47
(iv)
48
(v)
43
Question
30
30.
If the sample data with range 60 has to be divided into 8 class intervals, then the length of the class is
(i)
9
(ii)
11
(iii)
7
(iv)
5
(v)
8
Question
31
31.
If the length of the class is 10, then the number of class intervals needed to represent data with range 70 is
(i)
7
(ii)
5
(iii)
9
(iv)
6
(v)
8
Question
32
32.
The number of classes of class size
9
required to represent
the given random sample in exclusive form
1
3
6
7
12
15
17
19
21
21
24
27
29
31
34
36
36
37
37
37
41
45
47
50
50
(i)
6
(ii)
8
(iii)
3
(iv)
5
(v)
7
Question
33
33.
If some random sample data is arranged in a frequency distribution table in
inclusive form
with
1
-
6
as the first class,
then the observation
27
falls in which class?
(i)
26
-
31
(ii)
25
-
30
(iii)
24
-
29
(iv)
24.5
-
30.5
(v)
25.5
-
29.5
Question
34
34.
If some random sample data is arranged in a frequency distribution table in
exclusive form
with
1
-
8
as the first class,
then the observation
25
falls in which class?
(i)
23
-
30
(ii)
22.5
-
28.5
(iii)
21
-
28
(iv)
22
-
29
(v)
21.5
-
29.5
Question
35
35.
Given class interval table, find the sum of frequencies.
Class-Interval
35 - 45
46 - 56
57 - 67
68 - 78
Frequency
5
11
3
11
(i)
30
(ii)
31
(iii)
27
(iv)
33
(v)
29
Question
36
36.
Given class interval table, find the sum of frequencies.
Class-Interval
46 - 51
51 - 56
56 - 61
61 - 66
66 - 71
71 - 76
Frequency
15
1
25
10
24
7
(i)
85
(ii)
83
(iii)
79
(iv)
81
(v)
82
Question
37
37.
Which of the following are continuous variables?
a)
Number of members in a family.
b)
Weights of persons in a group.
c)
Heights of children in a class.
d)
Number of workers in a factory.
e)
Wages of workers in a factory.
(i)
{d,c}
(ii)
{a,d,e}
(iii)
{a,b,c}
(iv)
{a,b}
(v)
{b,c,e}
Question
38
38.
Which of the following are discontinuous variables?
a)
Number of workers in a factory.
b)
Heights of children in a class.
c)
Weights of persons in a group.
d)
Wages of workers in a factory.
e)
Number of members in a family.
(i)
{d,b,a}
(ii)
{c,e}
(iii)
{b,a}
(iv)
{a,e}
(v)
{c,e,a}
Question
39
39.
If the sum of the following frequency distribution is
35
,
find the value of 'x'.
Class-Interval
Frequency
20 - 26
2
27 - 33
4
34 - 40
9
41 - 47
x
48 - 54
8
55 - 61
9
(i)
0
(ii)
3
(iii)
5
(iv)
2
(v)
4
Question
40
40.
The class marks of a frequency distribution are
17 , 28 , 39 , 50
.
Find the class size and class intervals
in inclusive form
(i)
11
;
12
-
22
,
23
-
33
,
34
-
44
,
45
-
55
(ii)
11
;
11
-
21
,
22
-
32
,
33
-
43
,
44
-
54
(iii)
10
;
12
-
22
,
22
-
32
,
32
-
42
,
42
-
52
(iv)
11
;
11
-
22
,
22
-
33
,
33
-
44
,
44
-
55
(v)
11
;
13
-
23
,
24
-
34
,
35
-
45
,
46
-
56
Question
41
41.
The class marks of a frequency distribution are
14.5 , 21.5 , 28.5 , 35.5
.
Find the class size and class intervals
in exclusive form
(i)
8
;
11
-
18
,
19
-
26
,
27
-
34
,
35
-
42
(ii)
7
;
12
-
19
,
19
-
26
,
26
-
33
,
33
-
40
(iii)
7
;
10
-
17
,
17
-
24
,
24
-
31
,
31
-
38
(iv)
9
;
10
-
18
,
19
-
27
,
28
-
36
,
37
-
45
(v)
7
;
11
-
18
,
18
-
25
,
25
-
32
,
32
-
39
Question
42
42.
Which of the following are continuous variables?
a)
Temperature at a place over a month
b)
Number of members in a family
c)
Rainfall at a place over a month
d)
Marks obtained by student in a particular subject
e)
Population of cities
(i)
{d,c}
(ii)
{d,c,a}
(iii)
{b,a}
(iv)
{e,b,a}
(v)
{a,c}
Question
43
43.
Which of the following are discrete variables?
a)
Weights of persons in a group
b)
Marks obtained by student in a particular subject
c)
Number of members in a family
d)
Temperature at a place over a month
e)
Heights of children in a class
(i)
{d,c,b}
(ii)
{d,c}
(iii)
{b,c}
(iv)
{e,a,b}
(v)
{a,b}
Question
44
44.
Which of the following class intervals are in exclusive form?
a)
21.5 - 28.5 , 28.5 - 35.5 , 35.5 - 42.5...
b)
43 - 49 , 50 - 56 , 57 - 63,...
c)
22 - 28 , 28 - 34 , 34 - 40,...
d)
40 - 46 , 46 - 52 , 52 - 58...
e)
22 - 28 , 29 - 35 , 36 - 42,...
(i)
{b,a,c}
(ii)
{a,c,d}
(iii)
{e,c}
(iv)
{b,a}
(v)
{b,e,d}
Question
45
45.
Given table in inclusive form, convert it into exclusive form.
Class-Interval
8 - 13
14 - 19
20 - 25
26 - 31
32 - 37
38 - 43
Frequency
45
43
49
22
39
14
(i)
Class-Interval
7.5 - 12.5
13.5 - 18.5
19.5 - 24.5
25.5 - 30.5
31.5 - 36.5
37.5 - 42.5
Frequency
45
43
49
22
39
14
(ii)
Class-Interval
8.5 - 13.5
14.5 - 19.5
20.5 - 25.5
26.5 - 31.5
32.5 - 37.5
38.5 - 43.5
Frequency
45
43
49
22
39
14
(iii)
Class-Interval
8 - 13
13 - 18
18 - 23
23 - 28
28 - 33
33 - 38
Frequency
29
34
30
10
44
32
(iv)
Class-Interval
7.5 - 13.5
13.5 - 19.5
19.5 - 25.5
25.5 - 31.5
31.5 - 37.5
37.5 - 43.5
Frequency
45
43
49
22
39
14
(v)
Class-Interval
7.5 - 13
13.5 - 19
19.5 - 25
25.5 - 31
31.5 - 37
37.5 - 43
Frequency
45
43
49
22
39
14
Assignment Key
1) (iii)
2) (iii)
3) (ii)
4) (iii)
5) (iv)
6) (iii)
7) (i)
8) (v)
9) (iii)
10) (iii)
11) (ii)
12) (iii)
13) (ii)
14) (ii)
15) (iii)
16) (iv)
17) (ii)
18) (v)
19) (ii)
20) (ii)
21) (iv)
22) (v)
23) (iii)
24) (iii)
25) (v)
26) (ii)
27) (iv)
28) (iii)
29) (i)
30) (v)
31) (i)
32) (i)
33) (ii)
34) (iv)
35) (i)
36) (v)
37) (v)
38) (iv)
39) (ii)
40) (i)
41) (v)
42) (v)
43) (iii)
44) (ii)
45) (iv)
