EduSahara™ Assignment
Name : Statistics Miscellaneous
Chapter : Statistics
Grade : CBSE Grade X
License : Non Commercial Use
Question
1
1.
Given class interval
41
-
51
in exclusive form, its
class mark is
(i)
43
(ii)
47
(iii)
46
(iv)
45
(v)
49
Question
2
2.
Given class interval
12
-
22
in exclusive form, its
mid value is
(i)
17
(ii)
14
(iii)
16
(iv)
18
(v)
20
Question
3
3.
If the upper and lower limit of class interval are 29 and 27 respectively, then the class interval is
(i)
27
-
29
(ii)
27
-
29.5
(iii)
26.5
-
29
(iv)
26.5
-
29.5
(v)
27.5
-
28.5
Question
4
4.
If the lower and upper limit of class interval are 43 and 45 respectively, then the class interval is
(i)
42.5
-
45.5
(ii)
42.5
-
45
(iii)
43
-
45.5
(iv)
43
-
45
(v)
43.5
-
44.5
Question
5
5.
The class boundaries of 13 - 22 which is in exclusive form are
(i)
13.5
-
21.5
(ii)
12.5
-
22
(iii)
12.5
-
22.5
(iv)
13
-
22
(v)
13
-
22.5
Question
6
6.
The class boundaries of 50 - 60 which is in inclusive form are
(i)
49
-
61
(ii)
49.5
-
61
(iii)
49
-
60.5
(iv)
50
-
60
(v)
49.5
-
60.5
Question
7
7.
Convert the exclusive form of the class interval 37.5 - 45.5 to inclusive form
(i)
37.5
-
45
(ii)
37.5
-
45.5
(iii)
38.5
-
44.5
(iv)
38
-
45
(v)
38
-
45.5
Question
8
8.
Convert the inclusive form of the class interval 46 - 54 to exclusive form
(i)
45
-
55
(ii)
45
-
54.5
(iii)
45.5
-
55
(iv)
45.5
-
54.5
(v)
46
-
54
Question
9
9.
Convert the discontinuous form of the class interval 10 - 17 to continuous form
(i)
9
-
18
(ii)
9.5
-
17.5
(iii)
9.5
-
18
(iv)
10
-
17
(v)
9
-
17.5
Question
10
10.
Convert the continuous form of the class interval 20.5 - 27.5 to discontinuous form
(i)
21.5
-
26.5
(ii)
21
-
27
(iii)
20.5
-
27
(iv)
21
-
27.5
(v)
20.5
-
27.5
Question
11
11.
The class size used in the below table is
Class-Interval
28 - 33
34 - 39
40 - 45
46 - 51
52 - 57
58 - 63
Frequency
11
25
25
3
24
15
(i)
6
(ii)
5
(iii)
9
(iv)
4
(v)
7
Question
12
12.
The class size used in the below table is
Class-Interval
48 - 58
58 - 68
68 - 78
78 - 88
88 - 98
98 - 108
Frequency
24
28
23
12
1
1
(i)
9
(ii)
10
(iii)
11
(iv)
8
(v)
12
Question
13
13.
Which of the following are true?
a)
The true lower limit of the exclusive form class interval 20 - 30 is 20.
b)
Each numerical figure in a data set is called an observation.
c)
The difference between the true upper limit and true lower limit is called the class mark.
d)
The number of times a particular observation occurs is called its frequency.
e)
The true lower limit of the inclusive form class interval 20 - 30 is 20.
(i)
{c,e,d}
(ii)
{c,a}
(iii)
{c,a,b}
(iv)
{a,b,d}
(v)
{e,b}
Question
14
14.
Which of the following class intervals are in inclusive form?
a)
35 - 41 , 41 - 47 , 47 - 53...
b)
17 - 23 , 23 - 29 , 29 - 35,...
c)
17 - 23 , 24 - 30 , 31 - 37,...
d)
16.5 - 23.5 , 23.5 - 30.5 , 30.5 - 37.5...
e)
38 - 44 , 45 - 51 , 52 - 58,...
(i)
{d,a,c}
(ii)
{c,e}
(iii)
{b,e,c}
(iv)
{b,e}
(v)
{a,c}
Question
15
15.
The class mark of the class with frequency x is
Class-Interval
Frequency
6 - 11
19
12 - 17
x
18 - 23
26
24 - 29
21
30 - 35
24
(i)
15
(ii)
29
2
(iii)
57
4
(iv)
31
2
(v)
27
2
Question
16
16.
The class mark of the class with frequency x is
Class-Interval
Frequency
15 - 25
21
25 - 35
6
35 - 45
9
45 - 55
x
55 - 65
14
(i)
48
(ii)
50
(iii)
51
(iv)
49
(v)
52
Question
17
17.
The mid value of the class with frequency x is
Class-Interval
Frequency
4 - 9
28
10 - 15
7
16 - 21
x
22 - 27
3
28 - 33
15
(i)
19
(ii)
39
2
(iii)
37
2
(iv)
35
2
(v)
73
4
Question
18
18.
The mid value of the class with frequency x is
Class-Interval
Frequency
4 - 9
24
9 - 14
3
14 - 19
x
19 - 24
6
24 - 29
10
(i)
17
(ii)
35
2
(iii)
65
4
(iv)
31
2
(v)
33
2
Question
19
19.
The class boundaries of the class with frequency x is
Class-Interval
Frequency
29 - 34
21
35 - 40
21
41 - 46
5
47 - 52
x
53 - 58
29
(i)
47
-
52
(ii)
46.5
-
52.5
(iii)
46
-
53
(iv)
46
-
52.5
(v)
46.5
-
53
Question
20
20.
The class boundaries of the class with frequency x is
Class-Interval
Frequency
29 - 35
27
35 - 41
20
41 - 47
4
47 - 53
x
53 - 59
16
(i)
47
-
53.5
(ii)
46.5
-
53.5
(iii)
47
-
53
(iv)
47.5
-
52.5
(v)
46.5
-
53
Question
21
21.
The true lower limit and true upper limit of the class with frequency x is
Class-Interval
Frequency
16 - 22
28
23 - 29
22
30 - 36
x
37 - 43
13
44 - 50
16
(i)
29
-
36.5
(ii)
29
-
37
(iii)
30
-
36
(iv)
29.5
-
36.5
(v)
29.5
-
37
Question
22
22.
The true lower limit and true upper limit of the class with frequency x is
Class-Interval
Frequency
25 - 32
30
32 - 39
x
39 - 46
4
46 - 53
22
53 - 60
20
(i)
32
-
39.5
(ii)
31.5
-
39
(iii)
32.5
-
38.5
(iv)
32
-
39
(v)
31.5
-
39.5
Question
23
23.
The lower limit of the class with frequency x is
Class-Interval
Frequency
37 - 46
12
47 - 56
28
57 - 66
10
67 - 76
10
77 - 86
x
(i)
79
(ii)
77
(iii)
74
(iv)
76
(v)
78
Question
24
24.
The upper limit of the class with frequency x is
Class-Interval
Frequency
37 - 47
1
47 - 57
27
57 - 67
x
67 - 77
21
77 - 87
18
(i)
67
(ii)
68
(iii)
65
(iv)
66
(v)
69
Question
25
25.
Given class interval table, find the sum of frequencies.
Class-Interval
32 - 38
39 - 45
46 - 52
53 - 59
60 - 66
67 - 73
74 - 80
81 - 87
Frequency
23
29
30
14
14
2
18
3
(i)
132
(ii)
131
(iii)
136
(iv)
134
(v)
133
Question
26
26.
Given class interval table, find the sum of frequencies.
Class-Interval
20 - 30
30 - 40
40 - 50
50 - 60
Frequency
7
10
3
8
(i)
25
(ii)
27
(iii)
31
(iv)
28
(v)
29
Question
27
27.
Which of the following are continuous variables?
a)
Weights of persons in a group.
b)
Wages of workers in a factory.
c)
Number of members in a family.
d)
Heights of children in a class.
e)
Number of workers in a factory.
(i)
{e,b}
(ii)
{c,e,d}
(iii)
{c,a}
(iv)
{a,b,d}
(v)
{c,a,b}
Question
28
28.
Which of the following are discontinuous variables?
a)
Heights of children in a class.
b)
Wages of workers in a factory.
c)
Number of members in a family.
d)
Weights of persons in a group.
e)
Number of workers in a factory.
(i)
{b,e}
(ii)
{d,a,c}
(iii)
{a,c}
(iv)
{c,e}
(v)
{b,e,c}
Question
29
29.
Given table in inclusive form, convert it into exclusive form.
Class-Interval
6 - 14
15 - 23
24 - 32
33 - 41
42 - 50
51 - 59
Frequency
29
43
24
47
25
42
(i)
Class-Interval
6.5 - 14.5
15.5 - 23.5
24.5 - 32.5
33.5 - 41.5
42.5 - 50.5
51.5 - 59.5
Frequency
29
43
24
47
25
42
(ii)
Class-Interval
5.5 - 13.5
14.5 - 22.5
23.5 - 31.5
32.5 - 40.5
41.5 - 49.5
50.5 - 58.5
Frequency
29
43
24
47
25
42
(iii)
Class-Interval
5.5 - 14
14.5 - 23
23.5 - 32
32.5 - 41
41.5 - 50
50.5 - 59
Frequency
29
43
24
47
25
42
(iv)
Class-Interval
5.5 - 14.5
14.5 - 23.5
23.5 - 32.5
32.5 - 41.5
41.5 - 50.5
50.5 - 59.5
Frequency
29
43
24
47
25
42
(v)
Class-Interval
6 - 14
14 - 22
22 - 30
30 - 38
38 - 46
46 - 54
Frequency
33
34
37
10
15
22
Question
30
30.
Which of the following class intervals are in exclusive form?
a)
40 - 50 , 50 - 60 , 60 - 70...
b)
9.5 - 20.5 , 20.5 - 31.5 , 31.5 - 42.5...
c)
10 - 20 , 20 - 30 , 30 - 40,...
d)
43 - 53 , 54 - 64 , 65 - 75,...
e)
10 - 20 , 21 - 31 , 32 - 42,...
(i)
{d,a}
(ii)
{d,a,b}
(iii)
{e,b}
(iv)
{d,e,c}
(v)
{a,b,c}
Question
31
31.
If the sum of the following frequency distribution is
24
,
find the value of 'x'.
Value
Frequency
5
4
6
2
7
5
8
1
9
x
10
3
11
3
12
1
13
3
(i)
1
(ii)
-1
(iii)
5
(iv)
2
(v)
3
Question
32
32.
Emperical relation between Mean, Median and Mode is
(i)
Mode = 3Median + 2Mean
(ii)
Mode = 2Median - 3Mean
(iii)
Mode = 3Median - 2Mean
(iv)
Mode = 3Median - 3Mean
Question
33
33.
Find the Mode when Median is 95.1 and Mean is 64.2.
(i)
156.9
(ii)
154.9
(iii)
158.9
(iv)
157.9
(v)
155.9
Question
34
34.
Find the Mode when Median is 65 and Mean is 41.
(i)
114
(ii)
111
(iii)
115
(iv)
113
(v)
112
Question
35
35.
The mean and median of a uni-modal grouped data are 83.8 and 81.6 respectively. Find the mode of the data.
(i)
89.2
(ii)
87.2
(iii)
88.2
(iv)
86.2
(v)
90.2
Question
36
36.
The mean and median of a uni-modal grouped data are 46 and 24 respectively. Find the mode of the data.
(i)
92
(ii)
89
(iii)
88
(iv)
90
(v)
91
Question
37
37.
Which of the following are continuous variables?
a)
Temperature at a place over a month
b)
Number of members in a family
c)
Number of players in a team
d)
Marks obtained by student in a particular subject
e)
Rainfall at a place over a month
(i)
{c,e}
(ii)
{b,a}
(iii)
{d,b,a}
(iv)
{c,e,a}
(v)
{a,e}
Question
38
38.
Which of the following are discrete variables?
a)
Weights of persons in a group
b)
Heights of children in a class
c)
Number of players in a team
d)
Rainfall at a place over a month
e)
Number of workers in a factory
(i)
{b,e,c}
(ii)
{c,e}
(iii)
{b,e}
(iv)
{d,a,c}
(v)
{a,c}
Assignment Key
1) (iii)
2) (i)
3) (i)
4) (iv)
5) (iv)
6) (v)
7) (iv)
8) (iv)
9) (ii)
10) (ii)
11) (i)
12) (ii)
13) (iv)
14) (ii)
15) (ii)
16) (ii)
17) (iii)
18) (v)
19) (ii)
20) (iii)
21) (iv)
22) (iv)
23) (ii)
24) (i)
25) (v)
26) (iv)
27) (iv)
28) (iv)
29) (iv)
30) (v)
31) (iv)
32) (iii)
33) (i)
34) (iv)
35) (iii)
36) (iv)
37) (v)
38) (ii)
