Statistics JRF MCQ's

1. Mean is a measure of: location (central value)
(a) dispersion
(b) correlation
(c) none of the above

2 Which of the followings is a measure of central value? (a) Median
(b) Standard deviation
(c) Mean deviation
(d) Quartile deviation

3. Which of the followings represents median?
(a) First quartile
 (b) Fiftieth percentile
(c) Sixth decile
(d) None of the above

4 If a constant value 50 is subtracted from each observation of a set, the mean of
the series is:
(a) increased by 50
(b) decreased by 50
(c) is not affected
(d) zero

5 The extreme value have no effect on :
(a) average
(b) median
(c) geometric mean
(d) harmonic mean

6. If the minimum value in a set is 9 and its range is 57, the maximum value of the set is
(a) 33 (b) 66 (c) 48 (d) none of the above

7. If each value of a series is divided by 2, the mean of new values:
(a) is two times the original mean
(b) is decreased by 2

(c) is increased by 2

(d) is half of the original mean

8 If the values of a set are measured in cms., the unit of variance will be:
(a) no unit
(b) cm
(c) cm2
(d) cm3

9. Which measure of dispersion has a different unit other than the unit of measurement of Values:
(a) Range
(b) Mean deviation
(c) Standard deviation (d) Variance

10 The average of the sum of squares of the deviations about mean is called: (a) variance
(b) absolute deviation
(c) standard deviation
(d) mean deviation

11. Quartile deviation is equal to:
(a) interquartile range
(b) double the interquartile range (c) half of the interquartile range
(d) none of the above

12 Which measure of dispersion can be calculated in case of open end intervals?

(a) Range(b) Standard deviation(c) Coefficient of variation (d) Quartile deviation

13. Which of the following is unit less measure of dispersion ?

(a) Standard deviation (b) Mean deviation (c) Coefficient of Variation (d) Range

14. Three houses were available in a locality for allotment. Three persons applied
for a house. The probability that all the three persons applied for the same house
is:
(a) 1/3 (b) 1/9 (c) 1/27 (d) 1
15. A speaks truth 4 times out of five and B speaks truth 3 times out of four. They
agree in the assertion that a white ball has been drawn from a bag containing 10
balls of different colours. The probability that a white ball was really drawn is:

(a) 3/50 (b) 1/27 (c) 1/1350 (d) 81/82

16. In the problem of question 15 if the bag contains 1 white and 9 red balls, the
probability of one white ball being drawn is:

(a) 4/7
(b) 3/50
(c) 9/200
(d) none of the above

17. If A tells truth 4 times out of 5 and B tell truth 3 times out of 4. The probability
that, both expressing the same fact contradicts each other is:
(a) 1/20 (b) 3/20 (c) 1/5 (d) none of the above

18. The family of parametric distributions which has mean always less than variance is:
(a) beta distribution (b) lognormal distribution (c) Weibull distribution (d) negative binomial distribution

19. The distribution possessing the memory less property is:
(a) gamma distribution (b) geometric distribution (c) hypergeometric distribution (d) all the above

20. Which one problem out of the four is not related to stratified sampling?
(a) Fixing the criterion for stratification (b) Fixing the number of strata (c) Fixing the sample size (d) Fixing the points of demarcation between strata