EduSahara™ Assignment
Name : Statistics Miscellaneous
Chapter : Statistics
Grade : CBSE Grade X
License : Non Commercial Use
Question
1
1.
Given class interval
31
-
36
in exclusive form, its
class mark is
(i)
133
4
(ii)
34
(iii)
65
2
(iv)
69
2
(v)
67
2
Question
2
2.
Given class interval
29
-
33
in exclusive form, its
mid value is
(i)
33
(ii)
30
(iii)
31
(iv)
32
(v)
28
Question
3
3.
If the upper and lower limit of class interval are 53 and 45 respectively, then the class interval is
(i)
44.5
-
53
(ii)
44.5
-
53.5
(iii)
45.5
-
52.5
(iv)
45
-
53
(v)
45
-
53.5
Question
4
4.
If the lower and upper limit of class interval are 47 and 54 respectively, then the class interval is
(i)
47.5
-
53.5
(ii)
47
-
54.5
(iii)
46.5
-
54
(iv)
47
-
54
(v)
46.5
-
54.5
Question
5
5.
The class boundaries of 29 - 35 which is in exclusive form are
(i)
29
-
35.5
(ii)
28.5
-
35.5
(iii)
29
-
35
(iv)
29.5
-
34.5
(v)
28.5
-
35
Question
6
6.
The class boundaries of 42 - 45 which is in inclusive form are
(i)
42
-
45
(ii)
41
-
45.5
(iii)
41.5
-
45.5
(iv)
41.5
-
46
(v)
41
-
46
Question
7
7.
Convert the exclusive form of the class interval 48.5 - 53.5 to inclusive form
(i)
49
-
53
(ii)
49
-
53.5
(iii)
49.5
-
52.5
(iv)
48.5
-
53.5
(v)
48.5
-
53
Question
8
8.
Convert the inclusive form of the class interval 34 - 39 to exclusive form
(i)
33
-
40
(ii)
33.5
-
40
(iii)
34
-
39
(iv)
33
-
39.5
(v)
33.5
-
39.5
Question
9
9.
Convert the discontinuous form of the class interval 20 - 30 to continuous form
(i)
19
-
30.5
(ii)
19
-
31
(iii)
19.5
-
30.5
(iv)
20
-
30
(v)
19.5
-
31
Question
10
10.
Convert the continuous form of the class interval 21.5 - 25.5 to discontinuous form
(i)
22.5
-
24.5
(ii)
21.5
-
25
(iii)
22
-
25.5
(iv)
22
-
25
(v)
21.5
-
25.5
Question
11
11.
The class size used in the below table is
Class-Interval
21 - 26
27 - 32
33 - 38
39 - 44
45 - 50
51 - 56
57 - 62
Frequency
16
5
16
4
18
10
20
(i)
3
(ii)
8
(iii)
5
(iv)
7
(v)
6
Question
12
12.
The class size used in the below table is
Class-Interval
17 - 23
23 - 29
29 - 35
35 - 41
41 - 47
47 - 53
Frequency
9
29
25
24
3
1
(i)
7
(ii)
8
(iii)
6
(iv)
5
(v)
3
Question
13
13.
Which of the following are true?
a)
The difference between the true upper limit and true lower limit is called the class mark.
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)
Each numerical figure in a data set is called an observation.
e)
The number of times a particular observation occurs is called its frequency.
(i)
{a,b,d}
(ii)
{a,b}
(iii)
{a,c,e}
(iv)
{b,d,e}
(v)
{c,d}
Question
14
14.
Which of the following class intervals are in inclusive form?
a)
10 - 15 , 15 - 20 , 20 - 25,...
b)
25 - 30 , 30 - 35 , 35 - 40...
c)
28 - 33 , 34 - 39 , 40 - 45,...
d)
9.5 - 15.5 , 15.5 - 21.5 , 21.5 - 27.5...
e)
10 - 15 , 16 - 21 , 22 - 27,...
(i)
{d,a,c}
(ii)
{a,c}
(iii)
{b,e,c}
(iv)
{b,e}
(v)
{c,e}
Question
15
15.
The class mark of the class with frequency x is
Class-Interval
Frequency
5 - 15
12
16 - 26
2
27 - 37
29
38 - 48
12
49 - 59
x
(i)
55
(ii)
56
(iii)
53
(iv)
54
(v)
52
Question
16
16.
The class mark of the class with frequency x is
Class-Interval
Frequency
5 - 15
30
15 - 25
25
25 - 35
9
35 - 45
x
45 - 55
6
(i)
39
(ii)
37
(iii)
42
(iv)
41
(v)
40
Question
17
17.
The mid value of the class with frequency x is
Class-Interval
Frequency
16 - 21
1
22 - 27
x
28 - 33
24
34 - 39
10
40 - 45
16
(i)
97
4
(ii)
47
2
(iii)
49
2
(iv)
25
(v)
51
2
Question
18
18.
The mid value of the class with frequency x is
Class-Interval
Frequency
1 - 11
1
11 - 21
25
21 - 31
x
31 - 41
18
41 - 51
14
(i)
28
(ii)
25
(iii)
27
(iv)
26
(v)
24
Question
19
19.
The class boundaries of the class with frequency x is
Class-Interval
Frequency
13 - 21
x
22 - 30
14
31 - 39
19
40 - 48
18
49 - 57
21
(i)
13
-
21
(ii)
12
-
21.5
(iii)
12
-
22
(iv)
12.5
-
22
(v)
12.5
-
21.5
Question
20
20.
The class boundaries of the class with frequency x is
Class-Interval
Frequency
31 - 36
28
36 - 41
9
41 - 46
28
46 - 51
28
51 - 56
x
(i)
51
-
56.5
(ii)
50.5
-
56
(iii)
51
-
56
(iv)
51.5
-
55.5
(v)
50.5
-
56.5
Question
21
21.
The true lower limit and true upper limit of the class with frequency x is
Class-Interval
Frequency
33 - 39
7
40 - 46
7
47 - 53
3
54 - 60
7
61 - 67
x
(i)
60
-
67.5
(ii)
61
-
67
(iii)
60.5
-
68
(iv)
60
-
68
(v)
60.5
-
67.5
Question
22
22.
The true lower limit and true upper limit of the class with frequency x is
Class-Interval
Frequency
46 - 52
10
52 - 58
x
58 - 64
24
64 - 70
18
70 - 76
4
(i)
52.5
-
57.5
(ii)
51.5
-
58
(iii)
52
-
58
(iv)
52
-
58.5
(v)
51.5
-
58.5
Question
23
23.
The lower limit of the class with frequency x is
Class-Interval
Frequency
49 - 54
25
55 - 60
2
61 - 66
x
67 - 72
15
73 - 78
14
(i)
60
(ii)
62
(iii)
59
(iv)
64
(v)
61
Question
24
24.
The upper limit of the class with frequency x is
Class-Interval
Frequency
13 - 18
15
18 - 23
19
23 - 28
20
28 - 33
x
33 - 38
26
(i)
34
(ii)
31
(iii)
36
(iv)
33
(v)
32
Question
25
25.
Given class interval table, find the sum of frequencies.
Class-Interval
32 - 37
38 - 43
44 - 49
50 - 55
56 - 61
Frequency
22
12
2
25
17
(i)
81
(ii)
77
(iii)
75
(iv)
78
(v)
79
Question
26
26.
Given class interval table, find the sum of frequencies.
Class-Interval
22 - 31
31 - 40
40 - 49
49 - 58
58 - 67
67 - 76
76 - 85
85 - 94
Frequency
29
25
22
7
25
23
13
5
(i)
148
(ii)
152
(iii)
149
(iv)
146
(v)
150
Question
27
27.
Which of the following are continuous variables?
a)
Number of workers in a factory.
b)
Number of members in a family.
c)
Weights of persons in a group.
d)
Heights of children in a class.
e)
Wages of workers in a factory.
(i)
{a,c}
(ii)
{a,c,d}
(iii)
{b,d}
(iv)
{c,d,e}
(v)
{a,b,e}
Question
28
28.
Which of the following are discontinuous variables?
a)
Heights of children in a class.
b)
Weights of persons in a group.
c)
Number of members in a family.
d)
Wages of workers in a factory.
e)
Number of workers in a factory.
(i)
{d,a,c}
(ii)
{a,c}
(iii)
{c,e}
(iv)
{b,e}
(v)
{b,e,c}
Question
29
29.
Given table in inclusive form, convert it into exclusive form.
Class-Interval
11 - 20
21 - 30
31 - 40
41 - 50
51 - 60
Frequency
29
34
13
50
36
(i)
Class-Interval
10.5 - 20.5
20.5 - 30.5
30.5 - 40.5
40.5 - 50.5
50.5 - 60.5
Frequency
29
34
13
50
36
(ii)
Class-Interval
11 - 20
20 - 29
29 - 38
38 - 47
47 - 56
Frequency
17
49
20
20
10
(iii)
Class-Interval
10.5 - 20
20.5 - 30
30.5 - 40
40.5 - 50
50.5 - 60
Frequency
29
34
13
50
36
(iv)
Class-Interval
11.5 - 20.5
21.5 - 30.5
31.5 - 40.5
41.5 - 50.5
51.5 - 60.5
Frequency
29
34
13
50
36
(v)
Class-Interval
10.5 - 19.5
20.5 - 29.5
30.5 - 39.5
40.5 - 49.5
50.5 - 59.5
Frequency
29
34
13
50
36
Question
30
30.
Which of the following class intervals are in exclusive form?
a)
16.5 - 24.5 , 24.5 - 32.5 , 32.5 - 40.5...
b)
38 - 45 , 45 - 52 , 52 - 59...
c)
17 - 24 , 25 - 32 , 33 - 40,...
d)
17 - 24 , 24 - 31 , 31 - 38,...
e)
41 - 48 , 49 - 56 , 57 - 64,...
(i)
{c,e,d}
(ii)
{a,b,d}
(iii)
{c,a}
(iv)
{e,b}
(v)
{c,a,b}
Question
31
31.
If the sum of the following frequency distribution is
36
,
find the value of 'x'.
Value
Frequency
1
2
3
4
4
2
6
5
7
3
8
1
9
3
10
5
11
1
12
x
13
3
15
5
(i)
-1
(ii)
3
(iii)
2
(iv)
5
(v)
1
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 68.3 and Mean is 19.3.
(i)
164.3
(ii)
167.3
(iii)
165.3
(iv)
166.3
(v)
168.3
Question
34
34.
Find the Mode when Median is 63 and Mean is 32.
(i)
127
(ii)
123
(iii)
126
(iv)
124
(v)
125
Question
35
35.
The mean and median of a uni-modal grouped data are 81.5 and 72.5 respectively. Find the mode of the data.
(i)
97.5
(ii)
98.5
(iii)
100.5
(iv)
99.5
(v)
101.5
Question
36
36.
The mean and median of a uni-modal grouped data are 60 and 34 respectively. Find the mode of the data.
(i)
111
(ii)
114
(iii)
113
(iv)
112
(v)
110
Question
37
37.
Which of the following are continuous variables?
a)
Temperature at a place over a month
b)
Marks obtained by student in a particular subject
c)
Number of members in a family
d)
Population of cities
e)
Heights of children in a class
(i)
{c,e,a}
(ii)
{d,b,a}
(iii)
{b,a}
(iv)
{a,e}
(v)
{c,e}
Question
38
38.
Which of the following are discrete variables?
a)
Population of cities
b)
Number of players in a team
c)
Heights of children in a class
d)
Temperature at a place over a month
e)
Weights of persons in a group
(i)
{e,c,a}
(ii)
{d,b}
(iii)
{d,b,a}
(iv)
{a,b}
(v)
{c,a}
Assignment Key
1) (v)
2) (iii)
3) (iv)
4) (iv)
5) (iii)
6) (iii)
7) (i)
8) (v)
9) (iii)
10) (iv)
11) (v)
12) (iii)
13) (iv)
14) (v)
15) (iv)
16) (v)
17) (iii)
18) (iv)
19) (v)
20) (iii)
21) (v)
22) (iii)
23) (v)
24) (iv)
25) (iv)
26) (iii)
27) (iv)
28) (iii)
29) (i)
30) (ii)
31) (iii)
32) (i)
33) (iv)
34) (v)
35) (iv)
36) (iv)
37) (iv)
38) (iv)
