EduSahara™ Assignment
Name : Statistics Miscellaneous
Chapter : Statistics
Grade : CBSE Grade X
License : Non Commercial Use
Question
1
1.
Given class interval
34
-
38
in exclusive form, its
class mark is
(i)
34
(ii)
35
(iii)
37
(iv)
38
(v)
36
Question
2
2.
Given class interval
47
-
56
in exclusive form, its
mid value is
(i)
205
4
(ii)
101
2
(iii)
103
2
(iv)
105
2
(v)
52
Question
3
3.
If the upper and lower limit of class interval are 56 and 50 respectively, then the class interval is
(i)
50
-
56.5
(ii)
50
-
56
(iii)
49.5
-
56
(iv)
49.5
-
56.5
(v)
50.5
-
55.5
Question
4
4.
If the lower and upper limit of class interval are 13 and 20 respectively, then the class interval is
(i)
13
-
20.5
(ii)
13
-
20
(iii)
12.5
-
20.5
(iv)
12.5
-
20
(v)
13.5
-
19.5
Question
5
5.
The class boundaries of 40 - 42 which is in exclusive form are
(i)
39.5
-
42
(ii)
40.5
-
41.5
(iii)
40
-
42.5
(iv)
40
-
42
(v)
39.5
-
42.5
Question
6
6.
The class boundaries of 37 - 39 which is in inclusive form are
(i)
36.5
-
40
(ii)
37
-
39
(iii)
36.5
-
39.5
(iv)
36
-
39.5
(v)
36
-
40
Question
7
7.
Convert the exclusive form of the class interval 38.5 - 42.5 to inclusive form
(i)
38.5
-
42
(ii)
38.5
-
42.5
(iii)
39
-
42.5
(iv)
39.5
-
41.5
(v)
39
-
42
Question
8
8.
Convert the inclusive form of the class interval 16 - 23 to exclusive form
(i)
15.5
-
23.5
(ii)
16
-
23
(iii)
15
-
23.5
(iv)
15
-
24
(v)
15.5
-
24
Question
9
9.
Convert the discontinuous form of the class interval 34 - 36 to continuous form
(i)
33
-
37
(ii)
33.5
-
37
(iii)
33
-
36.5
(iv)
33.5
-
36.5
(v)
34
-
36
Question
10
10.
Convert the continuous form of the class interval 11.5 - 16.5 to discontinuous form
(i)
12
-
16.5
(ii)
12
-
16
(iii)
12.5
-
15.5
(iv)
11.5
-
16.5
(v)
11.5
-
16
Question
11
11.
The class size used in the below table is
Class-Interval
23 - 32
33 - 42
43 - 52
53 - 62
63 - 72
73 - 82
Frequency
5
13
16
9
23
1
(i)
8
(ii)
13
(iii)
10
(iv)
11
(v)
9
Question
12
12.
The class size used in the below table is
Class-Interval
29 - 37
37 - 45
45 - 53
53 - 61
61 - 69
69 - 77
Frequency
16
5
23
11
17
12
(i)
8
(ii)
11
(iii)
6
(iv)
9
(v)
7
Question
13
13.
Which of the following are true?
a)
The true lower limit of the inclusive form class interval 40 - 50 is 40.
b)
The difference between the true upper limit and true lower limit is called the class mark.
c)
Each numerical figure in a data set is called an observation.
d)
The true lower limit of the exclusive form class interval 40 - 50 is 40.
e)
The number of times a particular observation occurs is called its frequency.
(i)
{b,d}
(ii)
{a,b,e}
(iii)
{a,c,d}
(iv)
{a,c}
(v)
{c,d,e}
Question
14
14.
Which of the following class intervals are in inclusive form?
a)
40 - 45 , 46 - 51 , 52 - 57,...
b)
37 - 42 , 42 - 47 , 47 - 52...
c)
22 - 27 , 27 - 32 , 32 - 37,...
d)
21.5 - 27.5 , 27.5 - 33.5 , 33.5 - 39.5...
e)
22 - 27 , 28 - 33 , 34 - 39,...
(i)
{b,a}
(ii)
{d,b,a}
(iii)
{c,e}
(iv)
{a,e}
(v)
{c,e,a}
Question
15
15.
The class mark of the class with frequency x is
Class-Interval
Frequency
19 - 29
27
30 - 40
x
41 - 51
18
52 - 62
25
63 - 73
7
(i)
34
(ii)
36
(iii)
38
(iv)
35
(v)
33
Question
16
16.
The class mark of the class with frequency x is
Class-Interval
Frequency
10 - 15
21
15 - 20
x
20 - 25
23
25 - 30
11
30 - 35
29
(i)
35
2
(ii)
37
2
(iii)
18
(iv)
33
2
(v)
69
4
Question
17
17.
The mid value of the class with frequency x is
Class-Interval
Frequency
13 - 23
11
24 - 34
3
35 - 45
x
46 - 56
24
57 - 67
3
(i)
40
(ii)
41
(iii)
39
(iv)
38
(v)
42
Question
18
18.
The mid value of the class with frequency x is
Class-Interval
Frequency
11 - 16
11
16 - 21
28
21 - 26
26
26 - 31
17
31 - 36
x
(i)
67
2
(ii)
133
4
(iii)
65
2
(iv)
69
2
(v)
34
Question
19
19.
The class boundaries of the class with frequency x is
Class-Interval
Frequency
42 - 47
15
48 - 53
3
54 - 59
x
60 - 65
8
66 - 71
27
(i)
54
-
59
(ii)
53
-
59.5
(iii)
53
-
60
(iv)
53.5
-
60
(v)
53.5
-
59.5
Question
20
20.
The class boundaries of the class with frequency x is
Class-Interval
Frequency
37 - 42
12
42 - 47
13
47 - 52
7
52 - 57
x
57 - 62
6
(i)
51.5
-
57
(ii)
52.5
-
56.5
(iii)
52
-
57.5
(iv)
52
-
57
(v)
51.5
-
57.5
Question
21
21.
The true lower limit and true upper limit of the class with frequency x is
Class-Interval
Frequency
48 - 56
25
57 - 65
10
66 - 74
23
75 - 83
x
84 - 92
29
(i)
75
-
83
(ii)
74.5
-
83.5
(iii)
74
-
83.5
(iv)
74.5
-
84
(v)
74
-
84
Question
22
22.
The true lower limit and true upper limit of the class with frequency x is
Class-Interval
Frequency
47 - 55
x
55 - 63
17
63 - 71
16
71 - 79
3
79 - 87
21
(i)
47
-
55
(ii)
47
-
55.5
(iii)
46.5
-
55.5
(iv)
46.5
-
55
(v)
47.5
-
54.5
Question
23
23.
The lower limit of the class with frequency x is
Class-Interval
Frequency
25 - 32
10
33 - 40
x
41 - 48
27
49 - 56
29
57 - 64
1
(i)
33
(ii)
31
(iii)
34
(iv)
32
(v)
35
Question
24
24.
The upper limit of the class with frequency x is
Class-Interval
Frequency
48 - 56
19
56 - 64
9
64 - 72
x
72 - 80
5
80 - 88
18
(i)
73
(ii)
70
(iii)
72
(iv)
71
(v)
75
Question
25
25.
Given class interval table, find the sum of frequencies.
Class-Interval
33 - 42
43 - 52
53 - 62
63 - 72
Frequency
24
13
13
2
(i)
52
(ii)
54
(iii)
50
(iv)
51
(v)
53
Question
26
26.
Given class interval table, find the sum of frequencies.
Class-Interval
39 - 44
44 - 49
49 - 54
54 - 59
59 - 64
64 - 69
69 - 74
74 - 79
Frequency
3
7
8
14
28
16
21
8
(i)
103
(ii)
107
(iii)
104
(iv)
106
(v)
105
Question
27
27.
Which of the following are continuous variables?
a)
Number of members in a family.
b)
Heights of children in a class.
c)
Weights of persons in a group.
d)
Wages of workers in a factory.
e)
Number of workers in a factory.
(i)
{b,c,d}
(ii)
{e,c}
(iii)
{a,b}
(iv)
{a,b,c}
(v)
{a,e,d}
Question
28
28.
Which of the following are discontinuous variables?
a)
Number of workers in a factory.
b)
Number of members in a family.
c)
Wages of workers in a factory.
d)
Weights of persons in a group.
e)
Heights of children in a class.
(i)
{e,c,a}
(ii)
{d,b,a}
(iii)
{d,b}
(iv)
{a,b}
(v)
{c,a}
Question
29
29.
Given table in inclusive form, convert it into exclusive form.
Class-Interval
8 - 14
15 - 21
22 - 28
29 - 35
36 - 42
Frequency
25
42
42
46
18
(i)
Class-Interval
8.5 - 14.5
15.5 - 21.5
22.5 - 28.5
29.5 - 35.5
36.5 - 42.5
Frequency
25
42
42
46
18
(ii)
Class-Interval
7.5 - 14
14.5 - 21
21.5 - 28
28.5 - 35
35.5 - 42
Frequency
25
42
42
46
18
(iii)
Class-Interval
7.5 - 14.5
14.5 - 21.5
21.5 - 28.5
28.5 - 35.5
35.5 - 42.5
Frequency
25
42
42
46
18
(iv)
Class-Interval
7.5 - 13.5
14.5 - 20.5
21.5 - 27.5
28.5 - 34.5
35.5 - 41.5
Frequency
25
42
42
46
18
(v)
Class-Interval
8 - 14
14 - 20
20 - 26
26 - 32
32 - 38
Frequency
40
22
45
46
16
Question
30
30.
Which of the following class intervals are in exclusive form?
a)
26.5 - 34.5 , 34.5 - 42.5 , 42.5 - 50.5...
b)
48 - 55 , 55 - 62 , 62 - 69...
c)
51 - 58 , 59 - 66 , 67 - 74,...
d)
27 - 34 , 35 - 42 , 43 - 50,...
e)
27 - 34 , 34 - 41 , 41 - 48,...
(i)
{c,a,b}
(ii)
{d,b}
(iii)
{c,a}
(iv)
{c,d,e}
(v)
{a,b,e}
Question
31
31.
If the sum of the following frequency distribution is
37
,
find the value of 'x'.
Value
Frequency
2
4
3
6
4
x
5
2
6
2
7
1
8
6
9
4
10
2
11
4
(i)
3
(ii)
5
(iii)
6
(iv)
9
(v)
7
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 80.4 and Mean is 70.8.
(i)
101.6
(ii)
97.6
(iii)
100.6
(iv)
98.6
(v)
99.6
Question
34
34.
Find the Mode when Median is 79 and Mean is 66.
(i)
105
(ii)
103
(iii)
107
(iv)
104
(v)
106
Question
35
35.
The mean and median of a uni-modal grouped data are 90.4 and 86.5 respectively. Find the mode of the data.
(i)
99.2
(ii)
97.2
(iii)
100.2
(iv)
96.2
(v)
98.2
Question
36
36.
The mean and median of a uni-modal grouped data are 86 and 35 respectively. Find the mode of the data.
(i)
187
(ii)
186
(iii)
190
(iv)
189
(v)
188
Question
37
37.
Which of the following are continuous variables?
a)
Number of players in a team
b)
Number of members in a family
c)
Population of cities
d)
Rainfall at a place over a month
e)
Weights of persons in a group
(i)
{c,a,d}
(ii)
{d,e}
(iii)
{b,e}
(iv)
{a,d}
(v)
{b,e,d}
Question
38
38.
Which of the following are discrete variables?
a)
Heights of children in a class
b)
Weights of persons in a group
c)
Rainfall at a place over a month
d)
Marks obtained by student in a particular subject
e)
Number of members in a family
(i)
{d,e}
(ii)
{c,a,d}
(iii)
{b,e,d}
(iv)
{a,d}
(v)
{b,e}
Assignment Key
1) (v)
2) (iii)
3) (ii)
4) (ii)
5) (iv)
6) (iii)
7) (v)
8) (i)
9) (iv)
10) (ii)
11) (iii)
12) (i)
13) (v)
14) (iv)
15) (iv)
16) (i)
17) (i)
18) (i)
19) (v)
20) (iv)
21) (ii)
22) (i)
23) (i)
24) (iii)
25) (i)
26) (v)
27) (i)
28) (iv)
29) (iii)
30) (v)
31) (iii)
32) (i)
33) (v)
34) (i)
35) (v)
36) (v)
37) (ii)
38) (i)
