EduSahara™ Assignment
Name : Class Interval Concepts
Chapter : Statistics
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
Arrange the following data
24
24
39
30
22
13
10
11
13
36
in ascending order
(i)
12
33
22
25
17
28
39
13
21
22
(ii)
37
26
37
11
12
24
16
32
22
20
(iii)
10
11
13
13
22
24
24
30
36
39
(iv)
16
29
33
11
35
21
12
11
32
20
(v)
13
34
40
25
21
27
29
26
13
30
Question
2
2.
Arrange the following data
31
40
39
40
31
15
20
25
17
24
in descending order
(i)
31
16
39
21
37
27
34
21
13
16
(ii)
40
25
23
15
33
31
35
33
38
33
(iii)
37
13
28
34
18
19
15
23
14
12
(iv)
34
28
40
37
39
20
37
18
24
15
(v)
40
40
39
31
31
25
24
20
17
15
Question
3
3.
Given class interval
12
-
22
in exclusive form, its
lower limit is
(i)
14
(ii)
10
(iii)
12
(iv)
13
(v)
11
Question
4
4.
Given class interval
28
-
30
in exclusive form, its
upper limit is
(i)
31
(ii)
32
(iii)
30
(iv)
29
(v)
28
Question
5
5.
Given class interval
13
-
18
in exclusive form, its
class size is
(i)
6
(ii)
8
(iii)
4
(iv)
2
(v)
5
Question
6
6.
Given class interval
27
-
33
in exclusive form, its
mid value is
(i)
31
(ii)
30
(iii)
27
(iv)
32
(v)
29
Question
7
7.
If the upper and lower limit of class interval are 49 and 43 respectively, then the class interval is
(i)
43
-
49
(ii)
42.5
-
49
(iii)
43.5
-
48.5
(iv)
43
-
49.5
(v)
42.5
-
49.5
Question
8
8.
Given class interval
24
-
30
in exclusive form, its
upper limit is
(i)
29
(ii)
30
(iii)
32
(iv)
28
(v)
31
Question
9
9.
Given class interval
38
-
42
in exclusive form, its
class size is
(i)
2
(ii)
5
(iii)
7
(iv)
3
(v)
4
Question
10
10.
Given class interval
42
-
50
in exclusive form, its
class mark is
(i)
44
(ii)
48
(iii)
45
(iv)
47
(v)
46
Question
11
11.
Given class interval
45
-
48
in exclusive form, its
mid value is
(i)
47
(ii)
185
4
(iii)
91
2
(iv)
95
2
(v)
93
2
Question
12
12.
If the upper and lower limit of class interval are 38 and 30 respectively, then the class interval is
(i)
29.5
-
38.5
(ii)
30
-
38
(iii)
29.5
-
38
(iv)
30
-
38.5
(v)
30.5
-
37.5
Question
13
13.
If the lower and upper limit of class interval are 18 and 21 respectively, then the class interval is
(i)
17.5
-
21.5
(ii)
17.5
-
21
(iii)
18
-
21
(iv)
18.5
-
20.5
(v)
18
-
21.5
Question
14
14.
The class boundaries of 46 - 55 which is in exclusive form are
(i)
46.5
-
54.5
(ii)
45.5
-
55
(iii)
46
-
55.5
(iv)
46
-
55
(v)
45.5
-
55.5
Question
15
15.
The class boundaries of 32 - 40 which is in inclusive form are
(i)
31.5
-
41
(ii)
31
-
40.5
(iii)
32
-
40
(iv)
31
-
41
(v)
31.5
-
40.5
Question
16
16.
If the lower and upper limit of class interval are 39 and 41 respectively, then the class interval is
(i)
39
-
41.5
(ii)
39.5
-
40.5
(iii)
38.5
-
41.5
(iv)
38.5
-
41
(v)
39
-
41
Question
17
17.
The class boundaries of 12 - 17 which is in exclusive form are
(i)
12
-
17.5
(ii)
12
-
17
(iii)
11.5
-
17.5
(iv)
12.5
-
16.5
(v)
11.5
-
17
Question
18
18.
The class boundaries of 45 - 47 which is in inclusive form are
(i)
44.5
-
47.5
(ii)
45
-
47
(iii)
44
-
47.5
(iv)
44.5
-
48
(v)
44
-
48
Question
19
19.
Convert the discontinuous form of the class interval 10 - 20 to continuous form
(i)
9.5
-
21
(ii)
9
-
20.5
(iii)
10
-
20
(iv)
9.5
-
20.5
(v)
9
-
21
Question
20
20.
Convert the continuous form of the class interval 34.5 - 37.5 to discontinuous form
(i)
35
-
37.5
(ii)
34.5
-
37.5
(iii)
35
-
37
(iv)
35.5
-
36.5
(v)
34.5
-
37
Question
21
21.
The class size used in the below table is
Class-Interval
13 - 22
23 - 32
33 - 42
43 - 52
53 - 62
Frequency
16
14
22
17
26
(i)
8
(ii)
13
(iii)
11
(iv)
10
(v)
9
Question
22
22.
The class size used in the below table is
Class-Interval
10 - 17
17 - 24
24 - 31
31 - 38
38 - 45
45 - 52
52 - 59
59 - 66
Frequency
11
22
2
8
2
14
20
25
(i)
7
(ii)
8
(iii)
10
(iv)
4
(v)
6
Question
23
23.
Convert the discontinuous form of the class interval 47 - 52 to continuous form
(i)
46.5
-
52.5
(ii)
47
-
52
(iii)
46
-
53
(iv)
46
-
52.5
(v)
46.5
-
53
Question
24
24.
Convert the continuous form of the class interval 10.5 - 21.5 to discontinuous form
(i)
11.5
-
20.5
(ii)
10.5
-
21
(iii)
11
-
21.5
(iv)
10.5
-
21.5
(v)
11
-
21
Question
25
25.
The class size used in the below table is
Class-Interval
28 - 33
34 - 39
40 - 45
46 - 51
52 - 57
58 - 63
64 - 69
Frequency
23
17
10
3
23
19
13
(i)
6
(ii)
7
(iii)
5
(iv)
9
(v)
4
Question
26
26.
The class size used in the below table is
Class-Interval
27 - 33
33 - 39
39 - 45
45 - 51
51 - 57
57 - 63
Frequency
18
26
28
15
15
22
(i)
7
(ii)
4
(iii)
9
(iv)
5
(v)
6
Question
27
27.
Which of the following are true?
a)
The number of times a particular observation occurs is called its frequency.
b)
The true lower limit of the inclusive form class interval 30 - 40 is 30.
c)
The true lower limit of the exclusive form class interval 30 - 40 is 30.
d)
Each numerical figure in a data set is called an observation.
e)
The difference between the true upper limit and true lower limit is called the class mark.
(i)
{a,c,d}
(ii)
{b,a}
(iii)
{e,c}
(iv)
{b,e,d}
(v)
{b,a,c}
Question
28
28.
Which of the following class intervals are in inclusive form?
a)
21 - 28 , 29 - 36 , 37 - 44,...
b)
20.5 - 28.5 , 28.5 - 36.5 , 36.5 - 44.5...
c)
45 - 52 , 53 - 60 , 61 - 68,...
d)
21 - 28 , 28 - 35 , 35 - 42,...
e)
42 - 49 , 49 - 56 , 56 - 63...
(i)
{e,b,a}
(ii)
{b,a}
(iii)
{d,c,a}
(iv)
{a,c}
(v)
{d,c}
Question
29
29.
In inclusive form representation, the observation
35
falls in which class?
(i)
24
-
34
(ii)
36
-
45
(iii)
20
-
30
(iv)
15
-
25
(v)
25
-
35
Question
30
30.
In exclusive form representation, the observation
45
falls in which class?
(i)
40
-
45
(ii)
50
-
60
(iii)
55
-
65
(iv)
35
-
45
(v)
45
-
55
Question
31
31.
The class mark of the class with frequency x is
Class-Interval
Frequency
10 - 15
13
16 - 21
5
22 - 27
26
28 - 33
x
34 - 39
5
(i)
63
2
(ii)
31
(iii)
59
2
(iv)
61
2
(v)
121
4
Question
32
32.
The class mark of the class with frequency x is
Class-Interval
Frequency
12 - 17
7
17 - 22
x
22 - 27
5
27 - 32
22
32 - 37
24
(i)
20
(ii)
37
2
(iii)
39
2
(iv)
77
4
(v)
41
2
Question
33
33.
The mid value of the class with frequency x is
Class-Interval
Frequency
17 - 27
6
28 - 38
11
39 - 49
x
50 - 60
10
61 - 71
7
(i)
41
(ii)
44
(iii)
43
(iv)
45
(v)
47
Question
34
34.
The mid value of the class with frequency x is
Class-Interval
Frequency
15 - 20
23
20 - 25
21
25 - 30
9
30 - 35
x
35 - 40
12
(i)
129
4
(ii)
63
2
(iii)
33
(iv)
67
2
(v)
65
2
Question
35
35.
The class boundaries of the class with frequency x is
Class-Interval
Frequency
12 - 17
17
18 - 23
x
24 - 29
28
30 - 35
26
36 - 41
18
(i)
18
-
23
(ii)
17
-
24
(iii)
17
-
23.5
(iv)
17.5
-
23.5
(v)
17.5
-
24
Question
36
36.
The class boundaries of the class with frequency x is
Class-Interval
Frequency
43 - 48
3
48 - 53
2
53 - 58
x
58 - 63
13
63 - 68
5
(i)
53.5
-
57.5
(ii)
53
-
58.5
(iii)
52.5
-
58.5
(iv)
52.5
-
58
(v)
53
-
58
Question
37
37.
The true lower limit and true upper limit of the class with frequency x is
Class-Interval
Frequency
30 - 37
26
38 - 45
x
46 - 53
24
54 - 61
10
62 - 69
4
(i)
37.5
-
45.5
(ii)
37
-
46
(iii)
37
-
45.5
(iv)
37.5
-
46
(v)
38
-
45
Question
38
38.
The true lower limit and true upper limit of the class with frequency x is
Class-Interval
Frequency
42 - 49
29
49 - 56
27
56 - 63
x
63 - 70
12
70 - 77
8
(i)
56
-
63
(ii)
55.5
-
63
(iii)
55.5
-
63.5
(iv)
56
-
63.5
(v)
56.5
-
62.5
Question
39
39.
The lower limit of the class with frequency x is
Class-Interval
Frequency
41 - 51
29
52 - 62
11
63 - 73
x
74 - 84
8
85 - 95
12
(i)
63
(ii)
64
(iii)
66
(iv)
60
(v)
62
Question
40
40.
The upper limit of the class with frequency x is
Class-Interval
Frequency
35 - 43
9
43 - 51
24
51 - 59
11
59 - 67
x
67 - 75
7
(i)
68
(ii)
69
(iii)
65
(iv)
67
(v)
66
Question
41
41.
If the sample data with range 40 has to be divided into 9 class intervals, then the length of the class is
(i)
6
(ii)
5
(iii)
3
(iv)
4
(v)
8
Question
42
42.
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)
6
(iii)
11
(iv)
8
(v)
9
Question
43
43.
The number of classes of class size
8
required to represent
the given random sample in exclusive form
5
5
6
7
7
8
9
10
11
12
15
16
16
17
19
21
21
22
22
23
23
27
33
34
34
34
35
36
37
37
38
38
38
39
44
45
47
47
(i)
6
(ii)
5
(iii)
9
(iv)
7
(v)
3
Question
44
44.
Given class interval table, find the sum of frequencies.
Class-Interval
47 - 54
55 - 62
63 - 70
71 - 78
79 - 86
Frequency
21
26
17
10
5
(i)
80
(ii)
81
(iii)
78
(iv)
79
(v)
77
Question
45
45.
Given class interval table, find the sum of frequencies.
Class-Interval
37 - 46
46 - 55
55 - 64
64 - 73
73 - 82
82 - 91
91 - 100
100 - 109
Frequency
30
2
24
5
22
1
16
13
(i)
114
(ii)
115
(iii)
111
(iv)
113
(v)
112
Question
46
46.
Given table in inclusive form, convert it into exclusive form.
Class-Interval
10 - 15
16 - 21
22 - 27
28 - 33
34 - 39
Frequency
10
21
10
36
31
(i)
Class-Interval
10.5 - 15.5
16.5 - 21.5
22.5 - 27.5
28.5 - 33.5
34.5 - 39.5
Frequency
10
21
10
36
31
(ii)
Class-Interval
9.5 - 15.5
15.5 - 21.5
21.5 - 27.5
27.5 - 33.5
33.5 - 39.5
Frequency
10
21
10
36
31
(iii)
Class-Interval
9.5 - 15
15.5 - 21
21.5 - 27
27.5 - 33
33.5 - 39
Frequency
10
21
10
36
31
(iv)
Class-Interval
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
Frequency
18
22
39
17
21
(v)
Class-Interval
9.5 - 14.5
15.5 - 20.5
21.5 - 26.5
27.5 - 32.5
33.5 - 38.5
Frequency
10
21
10
36
31
Question
47
47.
Which of the following class intervals are in exclusive form?
a)
46 - 54 , 55 - 63 , 64 - 72,...
b)
19 - 27 , 28 - 36 , 37 - 45,...
c)
19 - 27 , 27 - 35 , 35 - 43,...
d)
43 - 51 , 51 - 59 , 59 - 67...
e)
18.5 - 27.5 , 27.5 - 36.5 , 36.5 - 45.5...
(i)
{a,b,e}
(ii)
{a,c}
(iii)
{b,d}
(iv)
{a,c,d}
(v)
{c,d,e}
Question
48
48.
Convert the exclusive form of the class interval 30.5 - 40.5 to inclusive form
(i)
30.5
-
40
(ii)
31
-
40.5
(iii)
31
-
40
(iv)
30.5
-
40.5
(v)
31.5
-
39.5
Question
49
49.
Convert the inclusive form of the class interval 26 - 33 to exclusive form
(i)
25.5
-
34
(ii)
26
-
33
(iii)
25
-
33.5
(iv)
25.5
-
33.5
(v)
25
-
34
Assignment Key
1) (iii)
2) (v)
3) (iii)
4) (iii)
5) (v)
6) (ii)
7) (i)
8) (ii)
9) (v)
10) (v)
11) (v)
12) (ii)
13) (iii)
14) (iv)
15) (v)
16) (v)
17) (ii)
18) (i)
19) (iv)
20) (iii)
21) (iv)
22) (i)
23) (i)
24) (v)
25) (i)
26) (v)
27) (i)
28) (iv)
29) (v)
30) (v)
31) (iv)
32) (iii)
33) (ii)
34) (v)
35) (iv)
36) (v)
37) (i)
38) (i)
39) (i)
40) (iv)
41) (ii)
42) (v)
43) (i)
44) (iv)
45) (iv)
46) (ii)
47) (v)
48) (iii)
49) (iv)
