EduSahara™ Assignment
Name : Class Interval Concepts
Chapter : Statistics
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
Arrange the following data
10
12
40
25
38
35
23
30
26
39
in ascending order
(i)
25
37
10
31
24
23
39
21
36
32
(ii)
33
40
10
40
38
25
13
11
19
22
(iii)
15
13
33
32
37
26
25
27
28
32
(iv)
16
11
36
27
16
14
16
37
29
14
(v)
10
12
23
25
26
30
35
38
39
40
Question
2
2.
Arrange the following data
34
28
12
26
25
38
15
29
16
32
in descending order
(i)
38
34
32
29
28
26
25
16
15
12
(ii)
36
10
22
24
18
15
32
25
13
23
(iii)
15
33
11
38
35
10
36
37
36
20
(iv)
16
33
27
22
11
31
21
31
15
22
(v)
35
17
31
38
12
19
40
35
26
38
Question
3
3.
Given class interval
36
-
46
in exclusive form, its
lower limit is
(i)
36
(ii)
34
(iii)
39
(iv)
37
(v)
35
Question
4
4.
Given class interval
35
-
43
in exclusive form, its
upper limit is
(i)
42
(ii)
45
(iii)
43
(iv)
41
(v)
44
Question
5
5.
Given class interval
48
-
55
in exclusive form, its
class size is
(i)
9
(ii)
6
(iii)
8
(iv)
7
(v)
5
Question
6
6.
Given class interval
20
-
22
in exclusive form, its
mid value is
(i)
23
(ii)
20
(iii)
22
(iv)
21
(v)
19
Question
7
7.
If the upper and lower limit of class interval are 56 and 46 respectively, then the class interval is
(i)
46.5
-
55.5
(ii)
46
-
56
(iii)
46
-
56.5
(iv)
45.5
-
56.5
(v)
45.5
-
56
Question
8
8.
Given class interval
42
-
45
in exclusive form, its
upper limit is
(i)
48
(ii)
44
(iii)
42
(iv)
45
(v)
46
Question
9
9.
Given class interval
38
-
45
in exclusive form, its
class size is
(i)
7
(ii)
6
(iii)
4
(iv)
9
(v)
8
Question
10
10.
Given class interval
41
-
50
in exclusive form, its
class mark is
(i)
91
2
(ii)
93
2
(iii)
181
4
(iv)
89
2
(v)
46
Question
11
11.
Given class interval
25
-
34
in exclusive form, its
mid value is
(i)
57
2
(ii)
30
(iii)
117
4
(iv)
59
2
(v)
61
2
Question
12
12.
If the upper and lower limit of class interval are 23 and 21 respectively, then the class interval is
(i)
21.5
-
22.5
(ii)
20.5
-
23
(iii)
21
-
23.5
(iv)
20.5
-
23.5
(v)
21
-
23
Question
13
13.
If the lower and upper limit of class interval are 24 and 34 respectively, then the class interval is
(i)
24
-
34
(ii)
23.5
-
34.5
(iii)
24.5
-
33.5
(iv)
23.5
-
34
(v)
24
-
34.5
Question
14
14.
The class boundaries of 36 - 42 which is in exclusive form are
(i)
35.5
-
42
(ii)
36
-
42.5
(iii)
35.5
-
42.5
(iv)
36
-
42
(v)
36.5
-
41.5
Question
15
15.
The class boundaries of 12 - 19 which is in inclusive form are
(i)
11.5
-
19.5
(ii)
11
-
20
(iii)
11
-
19.5
(iv)
11.5
-
20
(v)
12
-
19
Question
16
16.
If the lower and upper limit of class interval are 24 and 32 respectively, then the class interval is
(i)
24
-
32
(ii)
24
-
32.5
(iii)
23.5
-
32
(iv)
23.5
-
32.5
(v)
24.5
-
31.5
Question
17
17.
The class boundaries of 33 - 41 which is in exclusive form are
(i)
32.5
-
41.5
(ii)
33
-
41
(iii)
33.5
-
40.5
(iv)
32.5
-
41
(v)
33
-
41.5
Question
18
18.
The class boundaries of 28 - 30 which is in inclusive form are
(i)
28
-
30
(ii)
27
-
30.5
(iii)
27
-
31
(iv)
27.5
-
30.5
(v)
27.5
-
31
Question
19
19.
Convert the discontinuous form of the class interval 40 - 47 to continuous form
(i)
39
-
47.5
(ii)
39.5
-
47.5
(iii)
39
-
48
(iv)
40
-
47
(v)
39.5
-
48
Question
20
20.
Convert the continuous form of the class interval 38.5 - 48.5 to discontinuous form
(i)
38.5
-
48
(ii)
38.5
-
48.5
(iii)
39
-
48
(iv)
39.5
-
47.5
(v)
39
-
48.5
Question
21
21.
The class size used in the below table is
Class-Interval
19 - 27
28 - 36
37 - 45
46 - 54
55 - 63
64 - 72
73 - 81
82 - 90
Frequency
18
24
10
14
1
20
19
3
(i)
8
(ii)
6
(iii)
12
(iv)
10
(v)
9
Question
22
22.
The class size used in the below table is
Class-Interval
45 - 53
53 - 61
61 - 69
69 - 77
77 - 85
85 - 93
Frequency
6
7
17
28
27
30
(i)
5
(ii)
9
(iii)
8
(iv)
10
(v)
7
Question
23
23.
Convert the discontinuous form of the class interval 44 - 53 to continuous form
(i)
43.5
-
53.5
(ii)
43
-
54
(iii)
44
-
53
(iv)
43.5
-
54
(v)
43
-
53.5
Question
24
24.
Convert the continuous form of the class interval 38.5 - 42.5 to discontinuous form
(i)
38.5
-
42.5
(ii)
39
-
42.5
(iii)
39.5
-
41.5
(iv)
39
-
42
(v)
38.5
-
42
Question
25
25.
The class size used in the below table is
Class-Interval
29 - 36
37 - 44
45 - 52
53 - 60
61 - 68
69 - 76
Frequency
4
12
13
2
27
14
(i)
11
(ii)
8
(iii)
9
(iv)
6
(v)
7
Question
26
26.
The class size used in the below table is
Class-Interval
21 - 29
29 - 37
37 - 45
45 - 53
Frequency
24
27
10
28
(i)
9
(ii)
5
(iii)
7
(iv)
11
(v)
8
Question
27
27.
Which of the following are true?
a)
The true lower limit of the exclusive form class interval 10 - 20 is 10.
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 10 - 20 is 10.
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)
{c,d}
(ii)
{b,c,e}
(iii)
{b,a,d}
(iv)
{b,a}
(v)
{a,d,e}
Question
28
28.
Which of the following class intervals are in inclusive form?
a)
17.5 - 25.5 , 25.5 - 33.5 , 33.5 - 41.5...
b)
18 - 25 , 26 - 33 , 34 - 41,...
c)
42 - 49 , 50 - 57 , 58 - 65,...
d)
39 - 46 , 46 - 53 , 53 - 60...
e)
18 - 25 , 25 - 32 , 32 - 39,...
(i)
{d,c,b}
(ii)
{a,b}
(iii)
{d,c}
(iv)
{e,a,b}
(v)
{b,c}
Question
29
29.
In inclusive form representation, the observation
38
falls in which class?
(i)
27
-
37
(ii)
39
-
48
(iii)
28
-
38
(iv)
23
-
33
(v)
18
-
28
Question
30
30.
In exclusive form representation, the observation
17
falls in which class?
(i)
22
-
32
(ii)
7
-
17
(iii)
17
-
27
(iv)
12
-
17
(v)
27
-
37
Question
31
31.
The class mark of the class with frequency x is
Class-Interval
Frequency
6 - 16
26
17 - 27
x
28 - 38
7
39 - 49
4
50 - 60
1
(i)
22
(ii)
21
(iii)
23
(iv)
19
(v)
25
Question
32
32.
The class mark of the class with frequency x is
Class-Interval
Frequency
3 - 13
21
13 - 23
22
23 - 33
23
33 - 43
11
43 - 53
x
(i)
51
(ii)
48
(iii)
47
(iv)
45
(v)
49
Question
33
33.
The mid value of the class with frequency x is
Class-Interval
Frequency
19 - 24
29
25 - 30
10
31 - 36
x
37 - 42
15
43 - 48
3
(i)
34
(ii)
67
2
(iii)
65
2
(iv)
69
2
(v)
133
4
Question
34
34.
The mid value of the class with frequency x is
Class-Interval
Frequency
12 - 22
4
22 - 32
x
32 - 42
29
42 - 52
26
52 - 62
27
(i)
24
(ii)
27
(iii)
26
(iv)
30
(v)
28
Question
35
35.
The class boundaries of the class with frequency x is
Class-Interval
Frequency
50 - 55
29
56 - 61
7
62 - 67
27
68 - 73
x
74 - 79
10
(i)
67
-
74
(ii)
67
-
73.5
(iii)
67.5
-
73.5
(iv)
67.5
-
74
(v)
68
-
73
Question
36
36.
The class boundaries of the class with frequency x is
Class-Interval
Frequency
47 - 54
6
54 - 61
16
61 - 68
9
68 - 75
25
75 - 82
x
(i)
74.5
-
82.5
(ii)
75.5
-
81.5
(iii)
75
-
82
(iv)
74.5
-
82
(v)
75
-
82.5
Question
37
37.
The true lower limit and true upper limit of the class with frequency x is
Class-Interval
Frequency
31 - 36
13
37 - 42
15
43 - 48
17
49 - 54
x
55 - 60
19
(i)
48.5
-
54.5
(ii)
48.5
-
55
(iii)
49
-
54
(iv)
48
-
55
(v)
48
-
54.5
Question
38
38.
The true lower limit and true upper limit of the class with frequency x is
Class-Interval
Frequency
21 - 27
17
27 - 33
x
33 - 39
17
39 - 45
6
45 - 51
12
(i)
27.5
-
32.5
(ii)
26.5
-
33.5
(iii)
27
-
33
(iv)
26.5
-
33
(v)
27
-
33.5
Question
39
39.
The lower limit of the class with frequency x is
Class-Interval
Frequency
47 - 53
13
54 - 60
x
61 - 67
7
68 - 74
14
75 - 81
19
(i)
52
(ii)
55
(iii)
54
(iv)
56
(v)
53
Question
40
40.
The upper limit of the class with frequency x is
Class-Interval
Frequency
30 - 39
x
39 - 48
29
48 - 57
25
57 - 66
18
66 - 75
5
(i)
38
(ii)
39
(iii)
37
(iv)
41
(v)
40
Question
41
41.
If the sample data with range 70 has to be divided into 10 class intervals, then the length of the class is
(i)
4
(ii)
6
(iii)
10
(iv)
8
(v)
7
Question
42
42.
If the length of the class is 5, then the number of class intervals needed to represent data with range 40 is
(i)
11
(ii)
9
(iii)
8
(iv)
7
(v)
5
Question
43
43.
The number of classes of class size
9
required to represent
the given random sample in exclusive form
1
2
3
7
9
12
16
21
21
22
23
24
26
27
34
35
37
38
38
41
41
42
42
43
49
50
(i)
7
(ii)
6
(iii)
5
(iv)
8
(v)
4
Question
44
44.
Given class interval table, find the sum of frequencies.
Class-Interval
47 - 57
58 - 68
69 - 79
80 - 90
91 - 101
102 - 112
113 - 123
124 - 134
Frequency
5
3
18
14
9
18
30
6
(i)
100
(ii)
103
(iii)
102
(iv)
106
(v)
104
Question
45
45.
Given class interval table, find the sum of frequencies.
Class-Interval
12 - 18
18 - 24
24 - 30
30 - 36
36 - 42
42 - 48
48 - 54
54 - 60
Frequency
15
30
8
28
16
10
19
5
(i)
129
(ii)
131
(iii)
130
(iv)
133
(v)
132
Question
46
46.
Given table in inclusive form, convert it into exclusive form.
Class-Interval
20 - 29
30 - 39
40 - 49
50 - 59
60 - 69
70 - 79
Frequency
47
15
28
49
29
46
(i)
Class-Interval
20 - 29
29 - 38
38 - 47
47 - 56
56 - 65
65 - 74
Frequency
19
40
19
41
13
32
(ii)
Class-Interval
19.5 - 28.5
29.5 - 38.5
39.5 - 48.5
49.5 - 58.5
59.5 - 68.5
69.5 - 78.5
Frequency
47
15
28
49
29
46
(iii)
Class-Interval
20.5 - 29.5
30.5 - 39.5
40.5 - 49.5
50.5 - 59.5
60.5 - 69.5
70.5 - 79.5
Frequency
47
15
28
49
29
46
(iv)
Class-Interval
19.5 - 29
29.5 - 39
39.5 - 49
49.5 - 59
59.5 - 69
69.5 - 79
Frequency
47
15
28
49
29
46
(v)
Class-Interval
19.5 - 29.5
29.5 - 39.5
39.5 - 49.5
49.5 - 59.5
59.5 - 69.5
69.5 - 79.5
Frequency
47
15
28
49
29
46
Question
47
47.
Which of the following class intervals are in exclusive form?
a)
16 - 23 , 23 - 30 , 30 - 37,...
b)
16 - 23 , 24 - 31 , 32 - 39,...
c)
40 - 47 , 48 - 55 , 56 - 63,...
d)
37 - 44 , 44 - 51 , 51 - 58...
e)
15.5 - 23.5 , 23.5 - 31.5 , 31.5 - 39.5...
(i)
{b,a}
(ii)
{b,c,e}
(iii)
{b,a,d}
(iv)
{a,d,e}
(v)
{c,d}
Question
48
48.
Convert the exclusive form of the class interval 33.5 - 44.5 to inclusive form
(i)
33.5
-
44
(ii)
33.5
-
44.5
(iii)
34
-
44.5
(iv)
34
-
44
(v)
34.5
-
43.5
Question
49
49.
Convert the inclusive form of the class interval 26 - 32 to exclusive form
(i)
25
-
33
(ii)
26
-
32
(iii)
25
-
32.5
(iv)
25.5
-
32.5
(v)
25.5
-
33
Assignment Key
1) (v)
2) (i)
3) (i)
4) (iii)
5) (iv)
6) (iv)
7) (ii)
8) (iv)
9) (i)
10) (i)
11) (iv)
12) (v)
13) (i)
14) (iv)
15) (i)
16) (i)
17) (ii)
18) (iv)
19) (ii)
20) (iii)
21) (v)
22) (iii)
23) (i)
24) (iv)
25) (ii)
26) (v)
27) (v)
28) (v)
29) (iii)
30) (iii)
31) (i)
32) (ii)
33) (ii)
34) (ii)
35) (iii)
36) (iii)
37) (i)
38) (iii)
39) (iii)
40) (ii)
41) (v)
42) (iii)
43) (ii)
44) (ii)
45) (ii)
46) (v)
47) (iv)
48) (iv)
49) (iv)
