EduSahara™ Assignment
Name : Class Interval Concepts
Chapter : Statistics
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
Arrange the following data
24
12
21
21
18
21
34
16
34
32
in ascending order
(i)
13
14
30
23
13
28
34
22
32
36
(ii)
32
24
13
19
21
32
11
27
10
30
(iii)
12
16
18
21
21
21
24
32
34
34
(iv)
26
16
36
34
24
17
40
20
16
25
(v)
38
15
17
15
32
33
20
37
36
13
Question
2
2.
Arrange the following data
13
20
28
21
31
29
38
10
31
39
in descending order
(i)
24
10
27
40
32
13
39
40
20
22
(ii)
39
38
31
31
29
28
21
20
13
10
(iii)
19
40
40
33
40
31
19
21
13
34
(iv)
38
27
21
10
35
15
21
36
38
40
(v)
33
20
40
15
38
32
14
19
34
16
Question
3
3.
Given class interval
22
-
27
in exclusive form, its
lower limit is
(i)
19
(ii)
21
(iii)
22
(iv)
23
(v)
24
Question
4
4.
Given class interval
36
-
39
in exclusive form, its
upper limit is
(i)
40
(ii)
39
(iii)
38
(iv)
36
(v)
42
Question
5
5.
Given class interval
50
-
52
in exclusive form, its
class size is
(i)
3
(ii)
2
(iii)
5
(iv)
-1
(v)
1
Question
6
6.
Given class interval
17
-
24
in exclusive form, its
mid value is
(i)
39
2
(ii)
81
4
(iii)
41
2
(iv)
43
2
(v)
21
Question
7
7.
If the upper and lower limit of class interval are 57 and 47 respectively, then the class interval is
(i)
47.5
-
56.5
(ii)
47
-
57.5
(iii)
46.5
-
57
(iv)
47
-
57
(v)
46.5
-
57.5
Question
8
8.
Given class interval
36
-
38
in exclusive form, its
upper limit is
(i)
37
(ii)
39
(iii)
38
(iv)
40
(v)
35
Question
9
9.
Given class interval
33
-
42
in exclusive form, its
class size is
(i)
8
(ii)
9
(iii)
12
(iv)
10
(v)
7
Question
10
10.
Given class interval
13
-
19
in exclusive form, its
class mark is
(i)
18
(ii)
14
(iii)
16
(iv)
17
(v)
15
Question
11
11.
Given class interval
39
-
47
in exclusive form, its
mid value is
(i)
43
(ii)
41
(iii)
44
(iv)
46
(v)
42
Question
12
12.
If the upper and lower limit of class interval are 39 and 29 respectively, then the class interval is
(i)
29.5
-
38.5
(ii)
29
-
39
(iii)
29
-
39.5
(iv)
28.5
-
39.5
(v)
28.5
-
39
Question
13
13.
If the lower and upper limit of class interval are 38 and 45 respectively, then the class interval is
(i)
38.5
-
44.5
(ii)
37.5
-
45.5
(iii)
38
-
45
(iv)
38
-
45.5
(v)
37.5
-
45
Question
14
14.
The class boundaries of 24 - 34 which is in exclusive form are
(i)
24
-
34
(ii)
24
-
34.5
(iii)
23.5
-
34.5
(iv)
24.5
-
33.5
(v)
23.5
-
34
Question
15
15.
The class boundaries of 48 - 58 which is in inclusive form are
(i)
47
-
58.5
(ii)
47.5
-
59
(iii)
47.5
-
58.5
(iv)
47
-
59
(v)
48
-
58
Question
16
16.
If the lower and upper limit of class interval are 45 and 53 respectively, then the class interval is
(i)
45.5
-
52.5
(ii)
44.5
-
53
(iii)
45
-
53.5
(iv)
44.5
-
53.5
(v)
45
-
53
Question
17
17.
The class boundaries of 22 - 31 which is in exclusive form are
(i)
21.5
-
31
(ii)
22
-
31.5
(iii)
21.5
-
31.5
(iv)
22.5
-
30.5
(v)
22
-
31
Question
18
18.
The class boundaries of 17 - 20 which is in inclusive form are
(i)
16
-
20.5
(ii)
16.5
-
20.5
(iii)
16
-
21
(iv)
17
-
20
(v)
16.5
-
21
Question
19
19.
Convert the discontinuous form of the class interval 38 - 43 to continuous form
(i)
37.5
-
44
(ii)
38
-
43
(iii)
37.5
-
43.5
(iv)
37
-
43.5
(v)
37
-
44
Question
20
20.
Convert the continuous form of the class interval 26.5 - 37.5 to discontinuous form
(i)
26.5
-
37.5
(ii)
26.5
-
37
(iii)
27
-
37.5
(iv)
27
-
37
(v)
27.5
-
36.5
Question
21
21.
The class size used in the below table is
Class-Interval
48 - 54
55 - 61
62 - 68
69 - 75
76 - 82
Frequency
22
3
25
4
29
(i)
9
(ii)
4
(iii)
7
(iv)
6
(v)
8
Question
22
22.
The class size used in the below table is
Class-Interval
14 - 24
24 - 34
34 - 44
44 - 54
54 - 64
64 - 74
74 - 84
Frequency
1
22
23
14
23
3
26
(i)
12
(ii)
10
(iii)
8
(iv)
11
(v)
9
Question
23
23.
Convert the discontinuous form of the class interval 11 - 16 to continuous form
(i)
10
-
16.5
(ii)
10.5
-
17
(iii)
11
-
16
(iv)
10
-
17
(v)
10.5
-
16.5
Question
24
24.
Convert the continuous form of the class interval 41.5 - 47.5 to discontinuous form
(i)
42
-
47
(ii)
42
-
47.5
(iii)
42.5
-
46.5
(iv)
41.5
-
47.5
(v)
41.5
-
47
Question
25
25.
The class size used in the below table is
Class-Interval
19 - 27
28 - 36
37 - 45
46 - 54
55 - 63
Frequency
17
8
29
16
10
(i)
9
(ii)
7
(iii)
10
(iv)
11
(v)
8
Question
26
26.
The class size used in the below table is
Class-Interval
44 - 51
51 - 58
58 - 65
65 - 72
72 - 79
79 - 86
86 - 93
93 - 100
Frequency
9
9
21
13
19
26
24
26
(i)
9
(ii)
8
(iii)
5
(iv)
6
(v)
7
Question
27
27.
Which of the following are true?
a)
The difference between the true upper limit and true lower limit is called the class mark.
b)
Each numerical figure in a data set is called an observation.
c)
The number of times a particular observation occurs is called its frequency.
d)
The true lower limit of the exclusive form class interval 10 - 20 is 10.
e)
The true lower limit of the inclusive form class interval 10 - 20 is 10.
(i)
{a,b,c}
(ii)
{e,c}
(iii)
{a,b}
(iv)
{b,c,d}
(v)
{a,e,d}
Question
28
28.
Which of the following class intervals are in inclusive form?
a)
49 - 56 , 57 - 64 , 65 - 72,...
b)
25 - 32 , 33 - 40 , 41 - 48,...
c)
25 - 32 , 32 - 39 , 39 - 46,...
d)
24.5 - 32.5 , 32.5 - 40.5 , 40.5 - 48.5...
e)
46 - 53 , 53 - 60 , 60 - 67...
(i)
{c,a}
(ii)
{e,c,a}
(iii)
{d,b,a}
(iv)
{d,b}
(v)
{a,b}
Question
29
29.
In inclusive form representation, the observation
43
falls in which class?
(i)
33
-
43
(ii)
44
-
53
(iii)
32
-
42
(iv)
23
-
33
(v)
28
-
38
Question
30
30.
In exclusive form representation, the observation
43
falls in which class?
(i)
38
-
43
(ii)
43
-
53
(iii)
48
-
58
(iv)
33
-
43
(v)
53
-
63
Question
31
31.
The class mark of the class with frequency x is
Class-Interval
Frequency
12 - 22
15
23 - 33
x
34 - 44
3
45 - 55
7
56 - 66
12
(i)
27
(ii)
29
(iii)
25
(iv)
30
(v)
28
Question
32
32.
The class mark of the class with frequency x is
Class-Interval
Frequency
16 - 26
18
26 - 36
6
36 - 46
x
46 - 56
4
56 - 66
20
(i)
41
(ii)
43
(iii)
40
(iv)
42
(v)
39
Question
33
33.
The mid value of the class with frequency x is
Class-Interval
Frequency
1 - 11
22
12 - 22
24
23 - 33
x
34 - 44
2
45 - 55
28
(i)
30
(ii)
28
(iii)
27
(iv)
25
(v)
29
Question
34
34.
The mid value of the class with frequency x is
Class-Interval
Frequency
7 - 17
27
17 - 27
1
27 - 37
30
37 - 47
8
47 - 57
x
(i)
50
(ii)
53
(iii)
54
(iv)
51
(v)
52
Question
35
35.
The class boundaries of the class with frequency x is
Class-Interval
Frequency
22 - 28
x
29 - 35
26
36 - 42
2
43 - 49
25
50 - 56
20
(i)
21
-
28.5
(ii)
22
-
28
(iii)
21
-
29
(iv)
21.5
-
28.5
(v)
21.5
-
29
Question
36
36.
The class boundaries of the class with frequency x is
Class-Interval
Frequency
29 - 35
26
35 - 41
25
41 - 47
20
47 - 53
x
53 - 59
29
(i)
47
-
53
(ii)
46.5
-
53.5
(iii)
47
-
53.5
(iv)
47.5
-
52.5
(v)
46.5
-
53
Question
37
37.
The true lower limit and true upper limit of the class with frequency x is
Class-Interval
Frequency
44 - 51
x
52 - 59
15
60 - 67
9
68 - 75
23
76 - 83
26
(i)
43
-
51.5
(ii)
44
-
51
(iii)
43
-
52
(iv)
43.5
-
51.5
(v)
43.5
-
52
Question
38
38.
The true lower limit and true upper limit of the class with frequency x is
Class-Interval
Frequency
34 - 42
13
42 - 50
5
50 - 58
x
58 - 66
16
66 - 74
21
(i)
50.5
-
57.5
(ii)
50
-
58
(iii)
49.5
-
58
(iv)
49.5
-
58.5
(v)
50
-
58.5
Question
39
39.
The lower limit of the class with frequency x is
Class-Interval
Frequency
22 - 31
23
32 - 41
x
42 - 51
15
52 - 61
4
62 - 71
1
(i)
33
(ii)
32
(iii)
31
(iv)
30
(v)
34
Question
40
40.
The upper limit of the class with frequency x is
Class-Interval
Frequency
25 - 32
30
32 - 39
6
39 - 46
x
46 - 53
7
53 - 60
12
(i)
48
(ii)
45
(iii)
46
(iv)
43
(v)
47
Question
41
41.
If the sample data with range 40 has to be divided into 10 class intervals, then the length of the class is
(i)
3
(ii)
5
(iii)
6
(iv)
2
(v)
4
Question
42
42.
If the length of the class is 14, then the number of class intervals needed to represent data with range 70 is
(i)
2
(ii)
7
(iii)
4
(iv)
5
(v)
6
Question
43
43.
The number of classes of class size
7
required to represent
the given random sample in exclusive form
1
2
4
5
7
8
9
10
10
10
11
11
11
11
12
14
14
14
15
16
20
22
23
23
24
24
26
29
33
36
39
43
46
46
47
48
49
49
(i)
9
(ii)
4
(iii)
6
(iv)
7
(v)
8
Question
44
44.
Given class interval table, find the sum of frequencies.
Class-Interval
47 - 54
55 - 62
63 - 70
71 - 78
79 - 86
87 - 94
Frequency
7
19
13
6
3
22
(i)
72
(ii)
70
(iii)
68
(iv)
69
(v)
71
Question
45
45.
Given class interval table, find the sum of frequencies.
Class-Interval
41 - 48
48 - 55
55 - 62
62 - 69
69 - 76
76 - 83
Frequency
21
22
22
18
13
27
(i)
123
(ii)
124
(iii)
122
(iv)
121
(v)
126
Question
46
46.
Given table in inclusive form, convert it into exclusive form.
Class-Interval
11 - 19
20 - 28
29 - 37
38 - 46
47 - 55
Frequency
28
27
39
42
14
(i)
Class-Interval
11 - 19
19 - 27
27 - 35
35 - 43
43 - 51
Frequency
32
40
16
18
27
(ii)
Class-Interval
10.5 - 18.5
19.5 - 27.5
28.5 - 36.5
37.5 - 45.5
46.5 - 54.5
Frequency
28
27
39
42
14
(iii)
Class-Interval
10.5 - 19.5
19.5 - 28.5
28.5 - 37.5
37.5 - 46.5
46.5 - 55.5
Frequency
28
27
39
42
14
(iv)
Class-Interval
11.5 - 19.5
20.5 - 28.5
29.5 - 37.5
38.5 - 46.5
47.5 - 55.5
Frequency
28
27
39
42
14
(v)
Class-Interval
10.5 - 19
19.5 - 28
28.5 - 37
37.5 - 46
46.5 - 55
Frequency
28
27
39
42
14
Question
47
47.
Which of the following class intervals are in exclusive form?
a)
28 - 36 , 37 - 45 , 46 - 54,...
b)
27.5 - 36.5 , 36.5 - 45.5 , 45.5 - 54.5...
c)
52 - 60 , 60 - 68 , 68 - 76...
d)
28 - 36 , 36 - 44 , 44 - 52,...
e)
55 - 63 , 64 - 72 , 73 - 81,...
(i)
{a,e,d}
(ii)
{a,b}
(iii)
{e,c}
(iv)
{b,c,d}
(v)
{a,b,c}
Question
48
48.
Convert the exclusive form of the class interval 25.5 - 33.5 to inclusive form
(i)
25.5
-
33.5
(ii)
26.5
-
32.5
(iii)
25.5
-
33
(iv)
26
-
33
(v)
26
-
33.5
Question
49
49.
Convert the inclusive form of the class interval 25 - 28 to exclusive form
(i)
24.5
-
28.5
(ii)
24
-
28.5
(iii)
25
-
28
(iv)
24.5
-
29
(v)
24
-
29
Assignment Key
1) (iii)
2) (ii)
3) (iii)
4) (ii)
5) (ii)
6) (iii)
7) (iv)
8) (iii)
9) (ii)
10) (iii)
11) (i)
12) (ii)
13) (iii)
14) (i)
15) (iii)
16) (v)
17) (v)
18) (ii)
19) (iii)
20) (iv)
21) (iii)
22) (ii)
23) (v)
24) (i)
25) (i)
26) (v)
27) (iv)
28) (v)
29) (i)
30) (ii)
31) (v)
32) (i)
33) (ii)
34) (v)
35) (iv)
36) (i)
37) (iv)
38) (ii)
39) (ii)
40) (iii)
41) (v)
42) (iv)
43) (iv)
44) (ii)
45) (i)
46) (iii)
47) (iv)
48) (iv)
49) (i)
