statistics

Question 1

1. One of the methods for determining mode is
   (a) Mode = 2 Median -3 Mean
   (b) Mode = 3 Median – 2 Mean
   (c) Mode = 2 Mean – 3 Median
   (d) Mode = 3 Mean – 2 Median

Answer 1

(b) Mode = 3 Median – 2 Mean

Question 2

2. Mode is the
   (a) middle most frequent value
   (b) least frequent value
   (c) maximum frequent value
   (d) none of these

Answer 2

(c) maximum frequent value

Question 3

3. The algebraic sum of the deviations of a frequency distribution from its mean is always,
   (a) greater than zero
   (b) less than zero
   (c) zero
   (d) a non-zero number

Answer 3

(c) zero

Question 4

5. Construction of a cumulative frequency table is useful in determining the
   (a) mean
   (b) median
   (c) mode
   (d) none of these

Answer 4

(c) mode

Question 5

6. Which of the following can not be determined graphically?
   (a) Mean
   (b) Median
   (c) Mode
   (d) None of these

Answer 5

(a) Mean

Question 6

7. The absccissa of the point of intersection of the less than type and of the more than type cumulative frequency curves of a grouped data gives its
   (a) Mean
   (b) Median
   (c) Mode
   (d) None of these

Answer 6

(b) Median

Question 7

8. For the following distribution

C.I. 0-10 10-20 20-30 30-40 40-50
f 20 30 24 40 18
the sum of lower limits of the modal class and the median class is
(a) 20
(b) 30
(c) 40
(d) 50

Answer 7

(d) 50

Question 8

9. For the following distribution

C.I.	0-5	6-11	12-17	18-23	24-29
f	26	20	30	16	22
the upper limit of the median class is
(a) 18.5
(b) 18
(c) 17.5
(d) 17

Answer 8

(c) 17.5

Question 9

10. For the following distribution

Marks	No. of students
Less than 20	4
Less than 40	12
Less than 60	25
Less than 80	56
Less than 100	74
Less than 120	80

the modal class is

(a) 20 – 40
(b) 40 – 60
(c) 60 – 80
(d) 80 -100

Answer 9

(c) 60 – 80

Question 10

11. For the following distribution

Monthly Expenditure (?)	No. of families
Expenditure les than ? 10,000	15
Expenditure les than ? 13,000	31
Expenditure les than ? 16,000	50
Expenditure les than ? 19,000	67
Expenditure les than ?22,000	85
Expenditure les than ?25,000	100
The number of families having expenditure range (in ?) 16,000 – 19,000 is
(a) 15
(b) 16
(c) 17
(d) 19

Answer 10

(c) 17

Question 11

12. In the given data:

C.I.	f
65-85	4
85 – 105	5
105 – 125	13
125 – 145	20
145 – 165	14
165 – 185	7
185 – 205	4
the difference of the upper limit of the median class and the lower limit of the modal class is
(a) 38
(b) 20
(c) 19
(d) 0

Answer 11

(b) 20

Question 12

13. For the following distribution

Cl	0-5	5-10	10-15	15-20	20-25
f	10	15	12	20	9
the difference of the upper limit of the median class and the lower limit of the modal class is
(a) 0
(b) 5
(c) 10
(d) -5

Answer 12

(a) 0

Question 13

14. For the following distribution

Marks	0-10	10-20	20-30	30-40	40-50
No. of students	3	9	13	10	5
the number of students who got marks less than 30 is
(a) 13
(b) 25
(c) 10
(d) 12

Answer 13

(b) 25

Question 14

15. For the following distribution

Marks obtained	No. of students
More than or equal to 0	63
More than or equal to 10	58
More than or equal to 20	55
More than or equal to 30	51
More than or equal to 40	48
More than or equal to 50	42
the frequency of the class 20-30 is
(a) 35
(b) 4
(c) 48
(d) 51

Answer 14

(b) 4

Question 15

16. The times, in seconds, taken by 150 atheletes to run a 100 m hurdle race are tabulated below:

C.I.	f
13.8-14	3
14 – 14.2	4
14.2 – 14.4	6
14.4 – 14.6	69
14.6 – 14.8	48
14.8-15	20
The number of atheletes who completed the race in less than 14.6 seconds is
(a) 13
(b) 69
(c) 82
(d) 130

Answer 15

(c) 82