EduSahara™ Assignment
Name : Class Interval Concepts
Chapter : Statistics
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
Arrange the following data
36
17
28
18
32
21
31
33
18
15
in ascending order
(i)
15
17
18
18
21
28
31
32
33
36
(ii)
29
23
15
15
30
23
27
26
40
21
(iii)
18
19
40
36
27
23
34
15
13
19
(iv)
16
11
20
38
29
38
40
22
39
38
(v)
37
12
33
19
30
33
25
11
36
19
Question
2
2.
Arrange the following data
29
36
16
12
24
20
29
39
26
15
in descending order
(i)
35
33
19
40
10
33
10
25
28
28
(ii)
14
18
39
35
18
11
32
21
28
38
(iii)
30
21
27
39
22
11
32
39
15
27
(iv)
39
36
29
29
26
24
20
16
15
12
(v)
22
37
33
40
36
14
16
14
25
15
Question
3
3.
Given class interval
46
-
52
in exclusive form, its
lower limit is
(i)
43
(ii)
48
(iii)
46
(iv)
45
(v)
47
Question
4
4.
Given class interval
20
-
29
in exclusive form, its
upper limit is
(i)
31
(ii)
29
(iii)
27
(iv)
30
(v)
28
Question
5
5.
Given class interval
23
-
33
in exclusive form, its
class size is
(i)
10
(ii)
9
(iii)
11
(iv)
7
(v)
13
Question
6
6.
Given class interval
32
-
37
in exclusive form, its
mid value is
(i)
35
(ii)
71
2
(iii)
67
2
(iv)
69
2
(v)
137
4
Question
7
7.
If the upper and lower limit of class interval are 22 and 19 respectively, then the class interval is
(i)
19
-
22
(ii)
18.5
-
22.5
(iii)
18.5
-
22
(iv)
19
-
22.5
(v)
19.5
-
21.5
Question
8
8.
Given class interval
17
-
20
in exclusive form, its
upper limit is
(i)
19
(ii)
20
(iii)
17
(iv)
22
(v)
21
Question
9
9.
Given class interval
42
-
45
in exclusive form, its
class size is
(i)
4
(ii)
5
(iii)
2
(iv)
3
(v)
0
Question
10
10.
Given class interval
20
-
29
in exclusive form, its
class mark is
(i)
97
4
(ii)
51
2
(iii)
25
(iv)
49
2
(v)
47
2
Question
11
11.
Given class interval
25
-
34
in exclusive form, its
mid value is
(i)
59
2
(ii)
57
2
(iii)
61
2
(iv)
30
(v)
117
4
Question
12
12.
If the upper and lower limit of class interval are 15 and 13 respectively, then the class interval is
(i)
13
-
15.5
(ii)
12.5
-
15.5
(iii)
13
-
15
(iv)
13.5
-
14.5
(v)
12.5
-
15
Question
13
13.
If the lower and upper limit of class interval are 37 and 40 respectively, then the class interval is
(i)
37.5
-
39.5
(ii)
36.5
-
40
(iii)
37
-
40
(iv)
37
-
40.5
(v)
36.5
-
40.5
Question
14
14.
The class boundaries of 38 - 40 which is in exclusive form are
(i)
37.5
-
40.5
(ii)
38
-
40
(iii)
38.5
-
39.5
(iv)
38
-
40.5
(v)
37.5
-
40
Question
15
15.
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)
18
-
21
(v)
17
-
22
Question
16
16.
If the lower and upper limit of class interval are 24 and 31 respectively, then the class interval is
(i)
24
-
31
(ii)
23.5
-
31
(iii)
23.5
-
31.5
(iv)
24.5
-
30.5
(v)
24
-
31.5
Question
17
17.
The class boundaries of 16 - 25 which is in exclusive form are
(i)
15.5
-
25
(ii)
16
-
25
(iii)
15.5
-
25.5
(iv)
16.5
-
24.5
(v)
16
-
25.5
Question
18
18.
The class boundaries of 25 - 32 which is in inclusive form are
(i)
25
-
32
(ii)
24
-
33
(iii)
24.5
-
33
(iv)
24.5
-
32.5
(v)
24
-
32.5
Question
19
19.
Convert the discontinuous form of the class interval 11 - 15 to continuous form
(i)
10.5
-
16
(ii)
10.5
-
15.5
(iii)
10
-
16
(iv)
10
-
15.5
(v)
11
-
15
Question
20
20.
Convert the continuous form of the class interval 10.5 - 15.5 to discontinuous form
(i)
10.5
-
15
(ii)
11
-
15
(iii)
11
-
15.5
(iv)
11.5
-
14.5
(v)
10.5
-
15.5
Question
21
21.
The class size used in the below table is
Class-Interval
25 - 32
33 - 40
41 - 48
49 - 56
Frequency
16
30
14
21
(i)
8
(ii)
7
(iii)
11
(iv)
6
(v)
9
Question
22
22.
The class size used in the below table is
Class-Interval
14 - 19
19 - 24
24 - 29
29 - 34
Frequency
23
12
9
10
(i)
6
(ii)
5
(iii)
4
(iv)
8
(v)
2
Question
23
23.
Convert the discontinuous form of the class interval 14 - 23 to continuous form
(i)
13
-
23.5
(ii)
13.5
-
23.5
(iii)
14
-
23
(iv)
13
-
24
(v)
13.5
-
24
Question
24
24.
Convert the continuous form of the class interval 19.5 - 26.5 to discontinuous form
(i)
19.5
-
26
(ii)
20.5
-
25.5
(iii)
20
-
26.5
(iv)
20
-
26
(v)
19.5
-
26.5
Question
25
25.
The class size used in the below table is
Class-Interval
37 - 44
45 - 52
53 - 60
61 - 68
69 - 76
77 - 84
85 - 92
93 - 100
Frequency
25
27
29
16
11
11
12
27
(i)
5
(ii)
10
(iii)
9
(iv)
7
(v)
8
Question
26
26.
The class size used in the below table is
Class-Interval
27 - 37
37 - 47
47 - 57
57 - 67
67 - 77
77 - 87
87 - 97
97 - 107
Frequency
3
8
22
24
19
6
26
19
(i)
8
(ii)
9
(iii)
12
(iv)
11
(v)
10
Question
27
27.
Which of the following are true?
a)
Each numerical figure in a data set is called an observation.
b)
The true lower limit of the exclusive form class interval 20 - 30 is 20.
c)
The number of times a particular observation occurs is called its frequency.
d)
The difference between the true upper limit and true lower limit is called the class mark.
e)
The true lower limit of the inclusive form class interval 20 - 30 is 20.
(i)
{e,b}
(ii)
{a,b,c}
(iii)
{d,e,c}
(iv)
{d,a}
(v)
{d,a,b}
Question
28
28.
Which of the following class intervals are in inclusive form?
a)
16 - 23 , 24 - 31 , 32 - 39,...
b)
37 - 44 , 44 - 51 , 51 - 58...
c)
40 - 47 , 48 - 55 , 56 - 63,...
d)
15.5 - 23.5 , 23.5 - 31.5 , 31.5 - 39.5...
e)
16 - 23 , 23 - 30 , 30 - 37,...
(i)
{e,b,a}
(ii)
{d,c}
(iii)
{a,c}
(iv)
{d,c,a}
(v)
{b,a}
Question
29
29.
In inclusive form representation, the observation
22
falls in which class?
(i)
11
-
21
(ii)
23
-
32
(iii)
12
-
22
(iv)
7
-
17
(v)
2
-
12
Question
30
30.
In exclusive form representation, the observation
47
falls in which class?
(i)
37
-
47
(ii)
52
-
62
(iii)
42
-
47
(iv)
47
-
57
(v)
57
-
67
Question
31
31.
The class mark of the class with frequency x is
Class-Interval
Frequency
2 - 12
2
13 - 23
11
24 - 34
2
35 - 45
29
46 - 56
x
(i)
51
(ii)
52
(iii)
49
(iv)
50
(v)
54
Question
32
32.
The class mark of the class with frequency x is
Class-Interval
Frequency
8 - 13
4
13 - 18
10
18 - 23
24
23 - 28
25
28 - 33
x
(i)
59
2
(ii)
121
4
(iii)
63
2
(iv)
31
(v)
61
2
Question
33
33.
The mid value of the class with frequency x is
Class-Interval
Frequency
13 - 18
8
19 - 24
x
25 - 30
14
31 - 36
25
37 - 42
10
(i)
45
2
(ii)
41
2
(iii)
22
(iv)
43
2
(v)
85
4
Question
34
34.
The mid value of the class with frequency x is
Class-Interval
Frequency
20 - 30
5
30 - 40
3
40 - 50
22
50 - 60
x
60 - 70
5
(i)
58
(ii)
55
(iii)
56
(iv)
53
(v)
54
Question
35
35.
The class boundaries of the class with frequency x is
Class-Interval
Frequency
26 - 31
x
32 - 37
10
38 - 43
18
44 - 49
1
50 - 55
11
(i)
25.5
-
32
(ii)
26
-
31
(iii)
25
-
32
(iv)
25.5
-
31.5
(v)
25
-
31.5
Question
36
36.
The class boundaries of the class with frequency x is
Class-Interval
Frequency
19 - 26
12
26 - 33
18
33 - 40
22
40 - 47
24
47 - 54
x
(i)
46.5
-
54.5
(ii)
46.5
-
54
(iii)
47.5
-
53.5
(iv)
47
-
54
(v)
47
-
54.5
Question
37
37.
The true lower limit and true upper limit of the class with frequency x is
Class-Interval
Frequency
50 - 56
23
57 - 63
x
64 - 70
28
71 - 77
8
78 - 84
12
(i)
56
-
64
(ii)
56
-
63.5
(iii)
57
-
63
(iv)
56.5
-
64
(v)
56.5
-
63.5
Question
38
38.
The true lower limit and true upper limit of the class with frequency x is
Class-Interval
Frequency
40 - 46
29
46 - 52
17
52 - 58
x
58 - 64
16
64 - 70
15
(i)
52
-
58.5
(ii)
52
-
58
(iii)
51.5
-
58
(iv)
51.5
-
58.5
(v)
52.5
-
57.5
Question
39
39.
The lower limit of the class with frequency x is
Class-Interval
Frequency
45 - 52
25
53 - 60
7
61 - 68
21
69 - 76
x
77 - 84
7
(i)
66
(ii)
72
(iii)
68
(iv)
69
(v)
70
Question
40
40.
The upper limit of the class with frequency x is
Class-Interval
Frequency
11 - 17
23
17 - 23
1
23 - 29
27
29 - 35
x
35 - 41
19
(i)
34
(ii)
35
(iii)
37
(iv)
36
(v)
33
Question
41
41.
If the sample data with range 40 has to be divided into 5 class intervals, then the length of the class is
(i)
9
(ii)
7
(iii)
10
(iv)
5
(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)
7
(ii)
10
(iii)
8
(iv)
9
(v)
12
Question
43
43.
The number of classes of class size
6
required to represent
the given random sample in exclusive form
1
4
5
7
10
13
14
19
27
27
29
30
32
33
33
38
38
39
40
47
(i)
9
(ii)
7
(iii)
5
(iv)
11
(v)
8
Question
44
44.
Given class interval table, find the sum of frequencies.
Class-Interval
39 - 49
50 - 60
61 - 71
72 - 82
83 - 93
94 - 104
105 - 115
Frequency
25
25
7
12
10
28
30
(i)
138
(ii)
139
(iii)
134
(iv)
136
(v)
137
Question
45
45.
Given class interval table, find the sum of frequencies.
Class-Interval
16 - 26
26 - 36
36 - 46
46 - 56
56 - 66
66 - 76
76 - 86
86 - 96
Frequency
3
24
18
22
6
8
12
16
(i)
110
(ii)
106
(iii)
108
(iv)
112
(v)
109
Question
46
46.
Given table in inclusive form, convert it into exclusive form.
Class-Interval
10 - 20
21 - 31
32 - 42
43 - 53
54 - 64
Frequency
46
38
13
45
44
(i)
Class-Interval
9.5 - 20.5
20.5 - 31.5
31.5 - 42.5
42.5 - 53.5
53.5 - 64.5
Frequency
46
38
13
45
44
(ii)
Class-Interval
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
Frequency
49
27
30
29
25
(iii)
Class-Interval
9.5 - 19.5
20.5 - 30.5
31.5 - 41.5
42.5 - 52.5
53.5 - 63.5
Frequency
46
38
13
45
44
(iv)
Class-Interval
9.5 - 20
20.5 - 31
31.5 - 42
42.5 - 53
53.5 - 64
Frequency
46
38
13
45
44
(v)
Class-Interval
10.5 - 20.5
21.5 - 31.5
32.5 - 42.5
43.5 - 53.5
54.5 - 64.5
Frequency
46
38
13
45
44
Question
47
47.
Which of the following class intervals are in exclusive form?
a)
26 - 35 , 35 - 44 , 44 - 53,...
b)
25.5 - 35.5 , 35.5 - 45.5 , 45.5 - 55.5...
c)
56 - 65 , 66 - 75 , 76 - 85,...
d)
53 - 62 , 62 - 71 , 71 - 80...
e)
26 - 35 , 36 - 45 , 46 - 55,...
(i)
{e,b}
(ii)
{c,e,d}
(iii)
{a,b,d}
(iv)
{c,a}
(v)
{c,a,b}
Question
48
48.
Convert the exclusive form of the class interval 44.5 - 50.5 to inclusive form
(i)
44.5
-
50
(ii)
45
-
50
(iii)
45
-
50.5
(iv)
45.5
-
49.5
(v)
44.5
-
50.5
Question
49
49.
Convert the inclusive form of the class interval 24 - 32 to exclusive form
(i)
23
-
32.5
(ii)
23
-
33
(iii)
23.5
-
32.5
(iv)
24
-
32
(v)
23.5
-
33
Assignment Key
1) (i)
2) (iv)
3) (iii)
4) (ii)
5) (i)
6) (iv)
7) (i)
8) (ii)
9) (iv)
10) (iv)
11) (i)
12) (iii)
13) (iii)
14) (ii)
15) (iii)
16) (i)
17) (ii)
18) (iv)
19) (ii)
20) (ii)
21) (i)
22) (ii)
23) (ii)
24) (iv)
25) (v)
26) (v)
27) (ii)
28) (iii)
29) (iii)
30) (iv)
31) (i)
32) (v)
33) (iv)
34) (ii)
35) (iv)
36) (iv)
37) (v)
38) (ii)
39) (iv)
40) (ii)
41) (v)
42) (iv)
43) (v)
44) (v)
45) (v)
46) (i)
47) (iii)
48) (ii)
49) (iii)
