EduSahara™ Assignment
Name : Statistics Miscellaneous
Chapter : Statistics
Grade : CBSE Grade X
License : Non Commercial Use
Question
1
1.
Given class interval
15
-
21
in exclusive form, its
class mark is
(i)
19
(ii)
17
(iii)
18
(iv)
16
(v)
21
Question
2
2.
Given class interval
13
-
15
in exclusive form, its
mid value is
(i)
13
(ii)
14
(iii)
15
(iv)
12
(v)
17
Question
3
3.
If the upper and lower limit of class interval are 32 and 25 respectively, then the class interval is
(i)
25.5
-
31.5
(ii)
24.5
-
32
(iii)
25
-
32.5
(iv)
24.5
-
32.5
(v)
25
-
32
Question
4
4.
If the lower and upper limit of class interval are 47 and 53 respectively, then the class interval is
(i)
47
-
53.5
(ii)
47
-
53
(iii)
47.5
-
52.5
(iv)
46.5
-
53
(v)
46.5
-
53.5
Question
5
5.
The class boundaries of 16 - 25 which is in exclusive form are
(i)
15.5
-
25.5
(ii)
16
-
25
(iii)
16
-
25.5
(iv)
15.5
-
25
(v)
16.5
-
24.5
Question
6
6.
The class boundaries of 15 - 17 which is in inclusive form are
(i)
14.5
-
17.5
(ii)
15
-
17
(iii)
14.5
-
18
(iv)
14
-
17.5
(v)
14
-
18
Question
7
7.
Convert the exclusive form of the class interval 13.5 - 23.5 to inclusive form
(i)
14
-
23
(ii)
14.5
-
22.5
(iii)
13.5
-
23.5
(iv)
13.5
-
23
(v)
14
-
23.5
Question
8
8.
Convert the inclusive form of the class interval 24 - 33 to exclusive form
(i)
24
-
33
(ii)
23.5
-
34
(iii)
23
-
34
(iv)
23.5
-
33.5
(v)
23
-
33.5
Question
9
9.
Convert the discontinuous form of the class interval 25 - 32 to continuous form
(i)
24.5
-
32.5
(ii)
24
-
33
(iii)
24.5
-
33
(iv)
24
-
32.5
(v)
25
-
32
Question
10
10.
Convert the continuous form of the class interval 19.5 - 26.5 to discontinuous form
(i)
19.5
-
26.5
(ii)
19.5
-
26
(iii)
20
-
26
(iv)
20.5
-
25.5
(v)
20
-
26.5
Question
11
11.
The class size used in the below table is
Class-Interval
39 - 46
47 - 54
55 - 62
63 - 70
71 - 78
79 - 86
87 - 94
Frequency
26
10
15
13
3
17
25
(i)
9
(ii)
5
(iii)
8
(iv)
7
(v)
11
Question
12
12.
The class size used in the below table is
Class-Interval
43 - 49
49 - 55
55 - 61
61 - 67
67 - 73
Frequency
5
27
1
28
9
(i)
7
(ii)
6
(iii)
4
(iv)
5
(v)
8
Question
13
13.
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 exclusive form class interval 20 - 30 is 20.
c)
The difference between the true upper limit and true lower limit is called the class mark.
d)
Each numerical figure in a data set is called an observation.
e)
The true lower limit of the inclusive form class interval 20 - 30 is 20.
(i)
{c,a,b}
(ii)
{c,a}
(iii)
{a,b,d}
(iv)
{e,b}
(v)
{c,e,d}
Question
14
14.
Which of the following class intervals are in inclusive form?
a)
30 - 35 , 35 - 40 , 40 - 45...
b)
14.5 - 20.5 , 20.5 - 26.5 , 26.5 - 32.5...
c)
15 - 20 , 21 - 26 , 27 - 32,...
d)
33 - 38 , 39 - 44 , 45 - 50,...
e)
15 - 20 , 20 - 25 , 25 - 30,...
(i)
{e,a,c}
(ii)
{b,d,c}
(iii)
{b,d}
(iv)
{a,c}
(v)
{c,d}
Question
15
15.
The class mark of the class with frequency x is
Class-Interval
Frequency
6 - 16
5
17 - 27
x
28 - 38
4
39 - 49
29
50 - 60
25
(i)
19
(ii)
22
(iii)
25
(iv)
21
(v)
23
Question
16
16.
The class mark of the class with frequency x is
Class-Interval
Frequency
1 - 6
3
6 - 11
9
11 - 16
x
16 - 21
8
21 - 26
8
(i)
29
2
(ii)
27
2
(iii)
25
2
(iv)
14
(v)
53
4
Question
17
17.
The mid value of the class with frequency x is
Class-Interval
Frequency
10 - 20
15
21 - 31
17
32 - 42
x
43 - 53
27
54 - 64
4
(i)
38
(ii)
37
(iii)
36
(iv)
40
(v)
35
Question
18
18.
The mid value of the class with frequency x is
Class-Interval
Frequency
15 - 25
19
25 - 35
x
35 - 45
11
45 - 55
13
55 - 65
19
(i)
31
(ii)
30
(iii)
28
(iv)
32
(v)
29
Question
19
19.
The class boundaries of the class with frequency x is
Class-Interval
Frequency
46 - 54
9
55 - 63
x
64 - 72
28
73 - 81
14
82 - 90
7
(i)
54
-
64
(ii)
54.5
-
63.5
(iii)
55
-
63
(iv)
54.5
-
64
(v)
54
-
63.5
Question
20
20.
The class boundaries of the class with frequency x is
Class-Interval
Frequency
49 - 55
25
55 - 61
7
61 - 67
4
67 - 73
x
73 - 79
12
(i)
66.5
-
73
(ii)
67.5
-
72.5
(iii)
66.5
-
73.5
(iv)
67
-
73
(v)
67
-
73.5
Question
21
21.
The true lower limit and true upper limit of the class with frequency x is
Class-Interval
Frequency
12 - 18
1
19 - 25
x
26 - 32
26
33 - 39
30
40 - 46
29
(i)
18
-
26
(ii)
18.5
-
25.5
(iii)
18.5
-
26
(iv)
18
-
25.5
(v)
19
-
25
Question
22
22.
The true lower limit and true upper limit of the class with frequency x is
Class-Interval
Frequency
48 - 53
24
53 - 58
15
58 - 63
x
63 - 68
28
68 - 73
15
(i)
57.5
-
63
(ii)
58.5
-
62.5
(iii)
57.5
-
63.5
(iv)
58
-
63
(v)
58
-
63.5
Question
23
23.
The lower limit of the class with frequency x is
Class-Interval
Frequency
43 - 52
30
53 - 62
25
63 - 72
x
73 - 82
6
83 - 92
26
(i)
62
(ii)
64
(iii)
61
(iv)
65
(v)
63
Question
24
24.
The upper limit of the class with frequency x is
Class-Interval
Frequency
33 - 38
x
38 - 43
14
43 - 48
28
48 - 53
23
53 - 58
29
(i)
38
(ii)
37
(iii)
41
(iv)
36
(v)
39
Question
25
25.
Given class interval table, find the sum of frequencies.
Class-Interval
36 - 43
44 - 51
52 - 59
60 - 67
68 - 75
76 - 83
Frequency
26
17
19
30
14
12
(i)
119
(ii)
121
(iii)
117
(iv)
116
(v)
118
Question
26
26.
Given class interval table, find the sum of frequencies.
Class-Interval
39 - 47
47 - 55
55 - 63
63 - 71
71 - 79
79 - 87
Frequency
30
4
21
3
16
13
(i)
87
(ii)
86
(iii)
85
(iv)
88
(v)
90
Question
27
27.
Which of the following are continuous variables?
a)
Wages of workers in a factory.
b)
Number of members in a family.
c)
Number of workers in a factory.
d)
Weights of persons in a group.
e)
Heights of children in a class.
(i)
{b,c,e}
(ii)
{b,a,d}
(iii)
{a,d,e}
(iv)
{c,d}
(v)
{b,a}
Question
28
28.
Which of the following are discontinuous variables?
a)
Number of workers in a factory.
b)
Heights of children in a class.
c)
Wages of workers in a factory.
d)
Number of members in a family.
e)
Weights of persons in a group.
(i)
{c,d}
(ii)
{e,b,a}
(iii)
{b,a}
(iv)
{c,d,a}
(v)
{a,d}
Question
29
29.
Given table in inclusive form, convert it into exclusive form.
Class-Interval
13 - 22
23 - 32
33 - 42
43 - 52
53 - 62
Frequency
10
25
13
45
34
(i)
Class-Interval
12.5 - 22
22.5 - 32
32.5 - 42
42.5 - 52
52.5 - 62
Frequency
10
25
13
45
34
(ii)
Class-Interval
13 - 22
22 - 31
31 - 40
40 - 49
49 - 58
Frequency
17
50
35
37
47
(iii)
Class-Interval
13.5 - 22.5
23.5 - 32.5
33.5 - 42.5
43.5 - 52.5
53.5 - 62.5
Frequency
10
25
13
45
34
(iv)
Class-Interval
12.5 - 22.5
22.5 - 32.5
32.5 - 42.5
42.5 - 52.5
52.5 - 62.5
Frequency
10
25
13
45
34
(v)
Class-Interval
12.5 - 21.5
22.5 - 31.5
32.5 - 41.5
42.5 - 51.5
52.5 - 61.5
Frequency
10
25
13
45
34
Question
30
30.
Which of the following class intervals are in exclusive form?
a)
14 - 21 , 22 - 29 , 30 - 37,...
b)
35 - 42 , 42 - 49 , 49 - 56...
c)
14 - 21 , 21 - 28 , 28 - 35,...
d)
13.5 - 21.5 , 21.5 - 29.5 , 29.5 - 37.5...
e)
38 - 45 , 46 - 53 , 54 - 61,...
(i)
{a,e,d}
(ii)
{b,c,d}
(iii)
{a,b,c}
(iv)
{e,c}
(v)
{a,b}
Question
31
31.
If the sum of the following frequency distribution is
36
,
find the value of 'x'.
Value
Frequency
4
7
5
5
6
x
7
10
8
2
9
1
10
4
11
4
(i)
4
(ii)
3
(iii)
1
(iv)
5
(v)
2
Question
32
32.
Emperical relation between Mean, Median and Mode is
(i)
Mode = 3Median + 2Mean
(ii)
Mode = 3Median - 3Mean
(iii)
Mode = 3Median - 2Mean
(iv)
Mode = 2Median - 3Mean
Question
33
33.
Find the Mode when Median is 94.3 and Mean is 19.4.
(i)
242.1
(ii)
243.1
(iii)
245.1
(iv)
246.1
(v)
244.1
Question
34
34.
Find the Mode when Median is 86 and Mean is 57.
(i)
143
(ii)
144
(iii)
145
(iv)
142
(v)
146
Question
35
35.
The mean and median of a uni-modal grouped data are 59.7 and 23.6 respectively. Find the mode of the data.
(i)
129.9
(ii)
133.9
(iii)
131.9
(iv)
132.9
(v)
130.9
Question
36
36.
The mean and median of a uni-modal grouped data are 85 and 84 respectively. Find the mode of the data.
(i)
87
(ii)
89
(iii)
88
(iv)
86
(v)
85
Question
37
37.
Which of the following are continuous variables?
a)
Number of workers in a factory
b)
Temperature at a place over a month
c)
Number of members in a family
d)
Wages of workers in a factory
e)
Number of players in a team
(i)
{b,d}
(ii)
{a,b}
(iii)
{e,a,b}
(iv)
{c,d,b}
(v)
{c,d}
Question
38
38.
Which of the following are discrete variables?
a)
Rainfall at a place over a month
b)
Heights of children in a class
c)
Number of players in a team
d)
Weights of persons in a group
e)
Number of workers in a factory
(i)
{b,e,c}
(ii)
{d,a,c}
(iii)
{b,e}
(iv)
{a,c}
(v)
{c,e}
Assignment Key
1) (iii)
2) (ii)
3) (v)
4) (ii)
5) (ii)
6) (i)
7) (i)
8) (iv)
9) (i)
10) (iii)
11) (iii)
12) (ii)
13) (iii)
14) (v)
15) (ii)
16) (ii)
17) (ii)
18) (ii)
19) (ii)
20) (iv)
21) (ii)
22) (iv)
23) (v)
24) (i)
25) (v)
26) (i)
27) (iii)
28) (v)
29) (iv)
30) (ii)
31) (ii)
32) (iii)
33) (v)
34) (ii)
35) (iii)
36) (i)
37) (i)
38) (v)
