EduSahara™ Assignment
Name : Class Interval Concepts
Chapter : Statistics
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
Arrange the following data
31
21
18
37
19
25
30
16
36
19
in ascending order
(i)
16
18
19
19
21
25
30
31
36
37
(ii)
22
31
27
15
33
20
17
27
33
40
(iii)
33
25
23
38
21
22
24
30
15
37
(iv)
35
28
22
36
23
36
22
28
17
31
(v)
26
23
21
34
15
28
12
34
38
15
Question
2
2.
Arrange the following data
35
24
35
11
10
22
24
11
25
24
in descending order
(i)
14
40
12
12
34
13
34
28
39
10
(ii)
35
35
25
24
24
24
22
11
11
10
(iii)
35
23
19
31
32
29
29
35
16
30
(iv)
10
36
20
18
31
28
12
16
25
17
(v)
16
17
20
40
26
35
20
37
12
17
Question
3
3.
Given class interval
10
-
16
in exclusive form, its
lower limit is
(i)
9
(ii)
13
(iii)
8
(iv)
11
(v)
10
Question
4
4.
Given class interval
13
-
20
in exclusive form, its
upper limit is
(i)
23
(ii)
20
(iii)
21
(iv)
17
(v)
19
Question
5
5.
Given class interval
49
-
52
in exclusive form, its
class size is
(i)
2
(ii)
0
(iii)
4
(iv)
6
(v)
3
Question
6
6.
Given class interval
21
-
29
in exclusive form, its
mid value is
(i)
28
(ii)
26
(iii)
24
(iv)
22
(v)
25
Question
7
7.
If the upper and lower limit of class interval are 14 and 10 respectively, then the class interval is
(i)
10
-
14.5
(ii)
9.5
-
14.5
(iii)
10
-
14
(iv)
9.5
-
14
(v)
10.5
-
13.5
Question
8
8.
Given class interval
35
-
45
in exclusive form, its
upper limit is
(i)
47
(ii)
46
(iii)
44
(iv)
45
(v)
42
Question
9
9.
Given class interval
35
-
43
in exclusive form, its
class size is
(i)
10
(ii)
8
(iii)
9
(iv)
6
(v)
7
Question
10
10.
Given class interval
15
-
20
in exclusive form, its
class mark is
(i)
37
2
(ii)
69
4
(iii)
33
2
(iv)
18
(v)
35
2
Question
11
11.
Given class interval
37
-
39
in exclusive form, its
mid value is
(i)
37
(ii)
39
(iii)
35
(iv)
41
(v)
38
Question
12
12.
If the upper and lower limit of class interval are 34 and 29 respectively, then the class interval is
(i)
29
-
34.5
(ii)
28.5
-
34
(iii)
28.5
-
34.5
(iv)
29
-
34
(v)
29.5
-
33.5
Question
13
13.
If the lower and upper limit of class interval are 48 and 58 respectively, then the class interval is
(i)
47.5
-
58.5
(ii)
48
-
58
(iii)
47.5
-
58
(iv)
48
-
58.5
(v)
48.5
-
57.5
Question
14
14.
The class boundaries of 22 - 28 which is in exclusive form are
(i)
22
-
28.5
(ii)
21.5
-
28.5
(iii)
22.5
-
27.5
(iv)
21.5
-
28
(v)
22
-
28
Question
15
15.
The class boundaries of 11 - 15 which is in inclusive form are
(i)
10.5
-
15.5
(ii)
11
-
15
(iii)
10.5
-
16
(iv)
10
-
15.5
(v)
10
-
16
Question
16
16.
If the lower and upper limit of class interval are 50 and 57 respectively, then the class interval is
(i)
50.5
-
56.5
(ii)
49.5
-
57
(iii)
50
-
57.5
(iv)
49.5
-
57.5
(v)
50
-
57
Question
17
17.
The class boundaries of 23 - 26 which is in exclusive form are
(i)
22.5
-
26.5
(ii)
22.5
-
26
(iii)
23
-
26.5
(iv)
23
-
26
(v)
23.5
-
25.5
Question
18
18.
The class boundaries of 10 - 12 which is in inclusive form are
(i)
9
-
13
(ii)
10
-
12
(iii)
9.5
-
13
(iv)
9
-
12.5
(v)
9.5
-
12.5
Question
19
19.
Convert the discontinuous form of the class interval 34 - 42 to continuous form
(i)
33.5
-
43
(ii)
34
-
42
(iii)
33
-
42.5
(iv)
33
-
43
(v)
33.5
-
42.5
Question
20
20.
Convert the continuous form of the class interval 18.5 - 29.5 to discontinuous form
(i)
18.5
-
29
(ii)
19.5
-
28.5
(iii)
19
-
29
(iv)
19
-
29.5
(v)
18.5
-
29.5
Question
21
21.
The class size used in the below table is
Class-Interval
18 - 23
24 - 29
30 - 35
36 - 41
Frequency
21
11
16
11
(i)
6
(ii)
9
(iii)
5
(iv)
7
(v)
3
Question
22
22.
The class size used in the below table is
Class-Interval
42 - 49
49 - 56
56 - 63
63 - 70
Frequency
11
30
30
11
(i)
10
(ii)
6
(iii)
7
(iv)
8
(v)
4
Question
23
23.
Convert the discontinuous form of the class interval 28 - 34 to continuous form
(i)
27
-
34.5
(ii)
28
-
34
(iii)
27
-
35
(iv)
27.5
-
35
(v)
27.5
-
34.5
Question
24
24.
Convert the continuous form of the class interval 21.5 - 24.5 to discontinuous form
(i)
22
-
24.5
(ii)
21.5
-
24
(iii)
22.5
-
23.5
(iv)
22
-
24
(v)
21.5
-
24.5
Question
25
25.
The class size used in the below table is
Class-Interval
49 - 57
58 - 66
67 - 75
76 - 84
85 - 93
94 - 102
103 - 111
112 - 120
Frequency
11
1
1
8
24
7
23
3
(i)
6
(ii)
8
(iii)
10
(iv)
11
(v)
9
Question
26
26.
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
13
8
18
4
1
13
14
(i)
13
(ii)
9
(iii)
11
(iv)
10
(v)
7
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)
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 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 10 - 20 is 10.
(i)
{e,b}
(ii)
{d,a,b}
(iii)
{d,e,c}
(iv)
{d,a}
(v)
{a,b,c}
Question
28
28.
Which of the following class intervals are in inclusive form?
a)
10 - 20 , 20 - 30 , 30 - 40,...
b)
40 - 50 , 50 - 60 , 60 - 70...
c)
10 - 20 , 21 - 31 , 32 - 42,...
d)
9.5 - 20.5 , 20.5 - 31.5 , 31.5 - 42.5...
e)
43 - 53 , 54 - 64 , 65 - 75,...
(i)
{b,e}
(ii)
{b,e,c}
(iii)
{c,e}
(iv)
{d,a,c}
(v)
{a,c}
Question
29
29.
In inclusive form representation, the observation
51
falls in which class?
(i)
36
-
46
(ii)
40
-
50
(iii)
41
-
51
(iv)
31
-
41
(v)
52
-
61
Question
30
30.
In exclusive form representation, the observation
14
falls in which class?
(i)
14
-
24
(ii)
19
-
29
(iii)
24
-
34
(iv)
9
-
14
(v)
4
-
14
Question
31
31.
The class mark of the class with frequency x is
Class-Interval
Frequency
1 - 6
12
7 - 12
12
13 - 18
29
19 - 24
29
25 - 30
x
(i)
57
2
(ii)
28
(iii)
53
2
(iv)
55
2
(v)
109
4
Question
32
32.
The class mark of the class with frequency x is
Class-Interval
Frequency
15 - 20
16
20 - 25
13
25 - 30
3
30 - 35
x
35 - 40
1
(i)
65
2
(ii)
33
(iii)
129
4
(iv)
67
2
(v)
63
2
Question
33
33.
The mid value of the class with frequency x is
Class-Interval
Frequency
3 - 13
20
14 - 24
12
25 - 35
16
36 - 46
x
47 - 57
15
(i)
42
(ii)
39
(iii)
43
(iv)
40
(v)
41
Question
34
34.
The mid value of the class with frequency x is
Class-Interval
Frequency
12 - 17
15
17 - 22
19
22 - 27
x
27 - 32
2
32 - 37
20
(i)
49
2
(ii)
51
2
(iii)
25
(iv)
47
2
(v)
97
4
Question
35
35.
The class boundaries of the class with frequency x is
Class-Interval
Frequency
34 - 42
x
43 - 51
27
52 - 60
11
61 - 69
7
70 - 78
12
(i)
33
-
42.5
(ii)
33.5
-
43
(iii)
34
-
42
(iv)
33.5
-
42.5
(v)
33
-
43
Question
36
36.
The class boundaries of the class with frequency x is
Class-Interval
Frequency
47 - 54
28
54 - 61
1
61 - 68
5
68 - 75
10
75 - 82
x
(i)
74.5
-
82.5
(ii)
74.5
-
82
(iii)
75
-
82
(iv)
75.5
-
81.5
(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
47 - 53
17
54 - 60
9
61 - 67
18
68 - 74
23
75 - 81
x
(i)
75
-
81
(ii)
74.5
-
82
(iii)
74.5
-
81.5
(iv)
74
-
82
(v)
74
-
81.5
Question
38
38.
The true lower limit and true upper limit of the class with frequency x is
Class-Interval
Frequency
46 - 52
30
52 - 58
x
58 - 64
27
64 - 70
11
70 - 76
6
(i)
51.5
-
58
(ii)
52
-
58.5
(iii)
52.5
-
57.5
(iv)
52
-
58
(v)
51.5
-
58.5
Question
39
39.
The lower limit of the class with frequency x is
Class-Interval
Frequency
17 - 25
1
26 - 34
24
35 - 43
4
44 - 52
x
53 - 61
9
(i)
44
(ii)
43
(iii)
47
(iv)
41
(v)
45
Question
40
40.
The upper limit of the class with frequency x is
Class-Interval
Frequency
22 - 29
20
29 - 36
30
36 - 43
x
43 - 50
6
50 - 57
8
(i)
42
(ii)
46
(iii)
44
(iv)
41
(v)
43
Question
41
41.
If the sample data with range 60 has to be divided into 4 class intervals, then the length of the class is
(i)
15
(ii)
18
(iii)
14
(iv)
16
(v)
12
Question
42
42.
If the length of the class is 4, then the number of class intervals needed to represent data with range 40 is
(i)
11
(ii)
7
(iii)
13
(iv)
10
(v)
9
Question
43
43.
The number of classes of class size
7
required to represent
the given random sample in exclusive form
3
4
5
5
6
10
11
11
12
13
13
20
22
22
24
25
26
30
31
33
33
34
35
37
42
43
45
45
46
47
48
48
49
49
50
(i)
7
(ii)
8
(iii)
6
(iv)
10
(v)
4
Question
44
44.
Given class interval table, find the sum of frequencies.
Class-Interval
32 - 37
38 - 43
44 - 49
50 - 55
56 - 61
62 - 67
68 - 73
74 - 79
Frequency
21
27
24
7
26
20
17
20
(i)
164
(ii)
163
(iii)
162
(iv)
160
(v)
161
Question
45
45.
Given class interval table, find the sum of frequencies.
Class-Interval
40 - 50
50 - 60
60 - 70
70 - 80
80 - 90
90 - 100
100 - 110
110 - 120
Frequency
12
4
12
17
10
15
25
23
(i)
119
(ii)
117
(iii)
121
(iv)
118
(v)
116
Question
46
46.
Given table in inclusive form, convert it into exclusive form.
Class-Interval
6 - 15
16 - 25
26 - 35
36 - 45
46 - 55
Frequency
30
39
44
43
18
(i)
Class-Interval
5.5 - 15
15.5 - 25
25.5 - 35
35.5 - 45
45.5 - 55
Frequency
30
39
44
43
18
(ii)
Class-Interval
6 - 15
15 - 24
24 - 33
33 - 42
42 - 51
Frequency
11
17
49
46
28
(iii)
Class-Interval
5.5 - 14.5
15.5 - 24.5
25.5 - 34.5
35.5 - 44.5
45.5 - 54.5
Frequency
30
39
44
43
18
(iv)
Class-Interval
6.5 - 15.5
16.5 - 25.5
26.5 - 35.5
36.5 - 45.5
46.5 - 55.5
Frequency
30
39
44
43
18
(v)
Class-Interval
5.5 - 15.5
15.5 - 25.5
25.5 - 35.5
35.5 - 45.5
45.5 - 55.5
Frequency
30
39
44
43
18
Question
47
47.
Which of the following class intervals are in exclusive form?
a)
10.5 - 19.5 , 19.5 - 28.5 , 28.5 - 37.5...
b)
11 - 19 , 20 - 28 , 29 - 37,...
c)
35 - 43 , 43 - 51 , 51 - 59...
d)
11 - 19 , 19 - 27 , 27 - 35,...
e)
38 - 46 , 47 - 55 , 56 - 64,...
(i)
{a,c,d}
(ii)
{b,a,c}
(iii)
{b,a}
(iv)
{e,c}
(v)
{b,e,d}
Question
48
48.
Convert the exclusive form of the class interval 21.5 - 31.5 to inclusive form
(i)
22
-
31
(ii)
22
-
31.5
(iii)
21.5
-
31
(iv)
21.5
-
31.5
(v)
22.5
-
30.5
Question
49
49.
Convert the inclusive form of the class interval 45 - 49 to exclusive form
(i)
44.5
-
50
(ii)
44
-
50
(iii)
44.5
-
49.5
(iv)
44
-
49.5
(v)
45
-
49
Assignment Key
1) (i)
2) (ii)
3) (v)
4) (ii)
5) (v)
6) (v)
7) (iii)
8) (iv)
9) (ii)
10) (v)
11) (v)
12) (iv)
13) (ii)
14) (v)
15) (i)
16) (v)
17) (iv)
18) (v)
19) (v)
20) (iii)
21) (i)
22) (iii)
23) (v)
24) (iv)
25) (v)
26) (iv)
27) (v)
28) (iii)
29) (iii)
30) (i)
31) (iv)
32) (i)
33) (v)
34) (i)
35) (iv)
36) (iii)
37) (iii)
38) (iv)
39) (i)
40) (v)
41) (i)
42) (iv)
43) (i)
44) (iii)
45) (iv)
46) (v)
47) (i)
48) (i)
49) (iii)
