EduSahara™ Assignment
Name : Statistics Miscellaneous
Chapter : Statistics
Grade : CBSE Grade X
License : Non Commercial Use
Question
1
1.
Given class interval
42
-
44
in exclusive form, its
class mark is
(i)
44
(ii)
45
(iii)
40
(iv)
42
(v)
43
Question
2
2.
Given class interval
10
-
16
in exclusive form, its
mid value is
(i)
12
(ii)
13
(iii)
10
(iv)
14
(v)
16
Question
3
3.
If the upper and lower limit of class interval are 22 and 15 respectively, then the class interval is
(i)
14.5
-
22
(ii)
14.5
-
22.5
(iii)
15.5
-
21.5
(iv)
15
-
22
(v)
15
-
22.5
Question
4
4.
If the lower and upper limit of class interval are 47 and 51 respectively, then the class interval is
(i)
47.5
-
50.5
(ii)
46.5
-
51.5
(iii)
47
-
51.5
(iv)
47
-
51
(v)
46.5
-
51
Question
5
5.
The class boundaries of 49 - 52 which is in exclusive form are
(i)
49
-
52
(ii)
48.5
-
52
(iii)
48.5
-
52.5
(iv)
49.5
-
51.5
(v)
49
-
52.5
Question
6
6.
The class boundaries of 15 - 17 which is in inclusive form are
(i)
14
-
17.5
(ii)
15
-
17
(iii)
14.5
-
18
(iv)
14
-
18
(v)
14.5
-
17.5
Question
7
7.
Convert the exclusive form of the class interval 46.5 - 51.5 to inclusive form
(i)
47.5
-
50.5
(ii)
47
-
51
(iii)
47
-
51.5
(iv)
46.5
-
51
(v)
46.5
-
51.5
Question
8
8.
Convert the inclusive form of the class interval 46 - 55 to exclusive form
(i)
45.5
-
55.5
(ii)
45.5
-
56
(iii)
46
-
55
(iv)
45
-
56
(v)
45
-
55.5
Question
9
9.
Convert the discontinuous form of the class interval 40 - 45 to continuous form
(i)
39.5
-
45.5
(ii)
39.5
-
46
(iii)
40
-
45
(iv)
39
-
45.5
(v)
39
-
46
Question
10
10.
Convert the continuous form of the class interval 49.5 - 60.5 to discontinuous form
(i)
50
-
60.5
(ii)
49.5
-
60
(iii)
50
-
60
(iv)
49.5
-
60.5
(v)
50.5
-
59.5
Question
11
11.
The class size used in the below table is
Class-Interval
16 - 22
23 - 29
30 - 36
37 - 43
44 - 50
51 - 57
58 - 64
Frequency
4
19
10
9
23
20
9
(i)
7
(ii)
9
(iii)
6
(iv)
8
(v)
5
Question
12
12.
The class size used in the below table is
Class-Interval
15 - 23
23 - 31
31 - 39
39 - 47
47 - 55
Frequency
22
7
30
23
3
(i)
11
(ii)
8
(iii)
5
(iv)
9
(v)
7
Question
13
13.
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 40 - 50 is 40.
c)
The true lower limit of the inclusive form class interval 40 - 50 is 40.
d)
The number of times a particular observation occurs is called its frequency.
e)
The difference between the true upper limit and true lower limit is called the class mark.
(i)
{c,a,b}
(ii)
{c,a}
(iii)
{c,e,d}
(iv)
{a,b,d}
(v)
{e,b}
Question
14
14.
Which of the following class intervals are in inclusive form?
a)
21.5 - 32.5 , 32.5 - 43.5 , 43.5 - 54.5...
b)
22 - 32 , 33 - 43 , 44 - 54,...
c)
52 - 62 , 62 - 72 , 72 - 82...
d)
55 - 65 , 66 - 76 , 77 - 87,...
e)
22 - 32 , 32 - 42 , 42 - 52,...
(i)
{c,d}
(ii)
{a,b}
(iii)
{e,a,b}
(iv)
{b,d}
(v)
{c,d,b}
Question
15
15.
The class mark of the class with frequency x is
Class-Interval
Frequency
20 - 25
17
26 - 31
28
32 - 37
x
38 - 43
20
44 - 49
21
(i)
69
2
(ii)
71
2
(iii)
137
4
(iv)
67
2
(v)
35
Question
16
16.
The class mark of the class with frequency x is
Class-Interval
Frequency
15 - 20
9
20 - 25
x
25 - 30
2
30 - 35
19
35 - 40
14
(i)
43
2
(ii)
23
(iii)
45
2
(iv)
89
4
(v)
47
2
Question
17
17.
The mid value of the class with frequency x is
Class-Interval
Frequency
11 - 21
14
22 - 32
28
33 - 43
x
44 - 54
30
55 - 65
25
(i)
37
(ii)
41
(iii)
39
(iv)
38
(v)
35
Question
18
18.
The mid value of the class with frequency x is
Class-Interval
Frequency
9 - 14
27
14 - 19
20
19 - 24
10
24 - 29
x
29 - 34
9
(i)
51
2
(ii)
105
4
(iii)
27
(iv)
55
2
(v)
53
2
Question
19
19.
The class boundaries of the class with frequency x is
Class-Interval
Frequency
19 - 24
2
25 - 30
x
31 - 36
8
37 - 42
24
43 - 48
29
(i)
24.5
-
30.5
(ii)
24
-
30.5
(iii)
24.5
-
31
(iv)
25
-
30
(v)
24
-
31
Question
20
20.
The class boundaries of the class with frequency x is
Class-Interval
Frequency
14 - 20
23
20 - 26
17
26 - 32
x
32 - 38
19
38 - 44
24
(i)
26
-
32
(ii)
25.5
-
32
(iii)
26
-
32.5
(iv)
25.5
-
32.5
(v)
26.5
-
31.5
Question
21
21.
The true lower limit and true upper limit of the class with frequency x is
Class-Interval
Frequency
26 - 32
2
33 - 39
5
40 - 46
10
47 - 53
x
54 - 60
24
(i)
46.5
-
53.5
(ii)
46
-
54
(iii)
46
-
53.5
(iv)
46.5
-
54
(v)
47
-
53
Question
22
22.
The true lower limit and true upper limit of the class with frequency x is
Class-Interval
Frequency
19 - 26
25
26 - 33
14
33 - 40
9
40 - 47
x
47 - 54
2
(i)
40
-
47.5
(ii)
40.5
-
46.5
(iii)
39.5
-
47.5
(iv)
39.5
-
47
(v)
40
-
47
Question
23
23.
The lower limit of the class with frequency x is
Class-Interval
Frequency
16 - 21
29
22 - 27
18
28 - 33
10
34 - 39
x
40 - 45
1
(i)
35
(ii)
34
(iii)
32
(iv)
33
(v)
37
Question
24
24.
The upper limit of the class with frequency x is
Class-Interval
Frequency
36 - 44
24
44 - 52
15
52 - 60
29
60 - 68
x
68 - 76
19
(i)
66
(ii)
68
(iii)
69
(iv)
70
(v)
67
Question
25
25.
Given class interval table, find the sum of frequencies.
Class-Interval
42 - 51
52 - 61
62 - 71
72 - 81
82 - 91
92 - 101
102 - 111
112 - 121
Frequency
21
17
1
6
19
18
4
6
(i)
91
(ii)
92
(iii)
95
(iv)
93
(v)
90
Question
26
26.
Given class interval table, find the sum of frequencies.
Class-Interval
41 - 47
47 - 53
53 - 59
59 - 65
65 - 71
71 - 77
77 - 83
Frequency
19
22
9
4
28
8
21
(i)
109
(ii)
112
(iii)
114
(iv)
111
(v)
110
Question
27
27.
Which of the following are continuous variables?
a)
Heights of children in a class.
b)
Number of members in a family.
c)
Wages of workers in a factory.
d)
Weights of persons in a group.
e)
Number of workers in a factory.
(i)
{a,c,d}
(ii)
{e,c}
(iii)
{b,a}
(iv)
{b,e,d}
(v)
{b,a,c}
Question
28
28.
Which of the following are discontinuous variables?
a)
Weights of persons in a group.
b)
Number of workers in a factory.
c)
Wages of workers in a factory.
d)
Number of members in a family.
e)
Heights of children in a class.
(i)
{c,d,b}
(ii)
{a,b}
(iii)
{b,d}
(iv)
{c,d}
(v)
{e,a,b}
Question
29
29.
Given table in inclusive form, convert it into exclusive form.
Class-Interval
10 - 15
16 - 21
22 - 27
28 - 33
34 - 39
40 - 45
Frequency
15
12
24
31
37
14
(i)
Class-Interval
9.5 - 15.5
15.5 - 21.5
21.5 - 27.5
27.5 - 33.5
33.5 - 39.5
39.5 - 45.5
Frequency
15
12
24
31
37
14
(ii)
Class-Interval
10.5 - 15.5
16.5 - 21.5
22.5 - 27.5
28.5 - 33.5
34.5 - 39.5
40.5 - 45.5
Frequency
15
12
24
31
37
14
(iii)
Class-Interval
9.5 - 14.5
15.5 - 20.5
21.5 - 26.5
27.5 - 32.5
33.5 - 38.5
39.5 - 44.5
Frequency
15
12
24
31
37
14
(iv)
Class-Interval
9.5 - 15
15.5 - 21
21.5 - 27
27.5 - 33
33.5 - 39
39.5 - 45
Frequency
15
12
24
31
37
14
(v)
Class-Interval
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
35 - 40
Frequency
14
24
13
35
12
23
Question
30
30.
Which of the following class intervals are in exclusive form?
a)
56 - 66 , 67 - 77 , 78 - 88,...
b)
23 - 33 , 34 - 44 , 45 - 55,...
c)
53 - 63 , 63 - 73 , 73 - 83...
d)
23 - 33 , 33 - 43 , 43 - 53,...
e)
22.5 - 33.5 , 33.5 - 44.5 , 44.5 - 55.5...
(i)
{b,d}
(ii)
{c,d,e}
(iii)
{a,c,d}
(iv)
{a,c}
(v)
{a,b,e}
Question
31
31.
If the sum of the following frequency distribution is
21
,
find the value of 'x'.
Value
Frequency
4
4
5
2
6
x
7
3
8
2
9
2
10
3
11
3
(i)
1
(ii)
2
(iii)
5
(iv)
-1
(v)
3
Question
32
32.
Emperical relation between Mean, Median and Mode is
(i)
Mode = 3Median - 3Mean
(ii)
Mode = 3Median + 2Mean
(iii)
Mode = 3Median - 2Mean
(iv)
Mode = 2Median - 3Mean
Question
33
33.
Find the Mode when Median is 3.6 and Mean is 2.1.
(i)
8.6
(ii)
5.6
(iii)
6.6
(iv)
4.6
(v)
7.6
Question
34
34.
Find the Mode when Median is 74 and Mean is 42.
(i)
138
(ii)
140
(iii)
136
(iv)
137
(v)
139
Question
35
35.
The mean and median of a uni-modal grouped data are 52.7 and 24.1 respectively. Find the mode of the data.
(i)
108.9
(ii)
107.9
(iii)
111.9
(iv)
109.9
(v)
110.9
Question
36
36.
The mean and median of a uni-modal grouped data are 89 and 73 respectively. Find the mode of the data.
(i)
123
(ii)
122
(iii)
119
(iv)
121
(v)
120
Question
37
37.
Which of the following are continuous variables?
a)
Population of cities
b)
Marks obtained by student in a particular subject
c)
Wages of workers in a factory
d)
Rainfall at a place over a month
e)
Number of workers in a factory
(i)
{e,a,c}
(ii)
{b,d}
(iii)
{c,d}
(iv)
{a,c}
(v)
{b,d,c}
Question
38
38.
Which of the following are discrete variables?
a)
Weights of persons in a group
b)
Temperature at a place over a month
c)
Population of cities
d)
Rainfall at a place over a month
e)
Marks obtained by student in a particular subject
(i)
{b,e}
(ii)
{c,e}
(iii)
{a,c}
(iv)
{b,e,c}
(v)
{d,a,c}
Assignment Key
1) (v)
2) (ii)
3) (iv)
4) (iv)
5) (i)
6) (v)
7) (ii)
8) (i)
9) (i)
10) (iii)
11) (i)
12) (ii)
13) (iv)
14) (iv)
15) (i)
16) (iii)
17) (iv)
18) (v)
19) (i)
20) (i)
21) (i)
22) (v)
23) (ii)
24) (ii)
25) (ii)
26) (iv)
27) (i)
28) (iii)
29) (i)
30) (ii)
31) (ii)
32) (iii)
33) (iii)
34) (i)
35) (iv)
36) (iv)
37) (iii)
38) (ii)
