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4392 Previous Year Questions • 2016–2026 • Prelims, Mains, Essay, Optionals
Topic:[APFC] Statistics: Basics of statistics, sampling methods, measures of central tendency (mean, median, mode), range, measures of dispersion, standard deviation, basic probability.8 PYQs
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EPFO APFC - General Ability Test
2 shown2025•EPFO APFC•General Ability Test•Q.79
The scores of 16 students in a test are as follows: 19, 4, 17, 7, 15, 2, 18, 11, 15, 17, 19, 4, 3, 2, 6, 9. What is the difference between their arithmetic mean and the median ?
Elementary Mathematics & StatisticsEasy
2025•EPFO APFC•General Ability Test•Q.80
Two unbiased dice, each marked 1 to 6 on their faces, are rolled simultaneously. What is the probability that the sum of the outcomes on the top faces of both dice is 7 or 10 ?
Elementary Mathematics & StatisticsMedium
EPFO APFC - General Studies
5 shown2023•EPFO APFC•General Studies•Q.74
74. Suppose that x and y are distinct
variables
that
take
values
from
{l, 2, 3, 4, 5, 6}. What is the probability
that the value
of the
expression
xy+ x + y is even?
Elementary Mathematics & StatisticsMedium
2016•EPFO APFC•General Studies•Q.65
There are four identically sized and shaped balls in a box, with only its top open. Each ball is of a different colour, these being: Green, Red, White and Blue, only one ball of each colour. Without looking into the box, one ball is randomly picked out and its colour is noted; then it is returned to the box. What are the chances that, in two successive draws, one may get the white ball and the red ball - in whichever order?
Elementary Mathematics & StatisticsMedium
2016•EPFO APFC•General Studies•Q.75
The mean and standard deviation of a set of 16 non-zero positive numbers in an observation are 26 and 3.5 respectively. The mean and standard deviation of another set of 24 non-zero positive numbers are 29 and 3, respectively.
| Set | Number of observations | Mean | Standard deviation |
|---|---|---|---|
| 1 | 16 | 26 | 3.5 |
| 2 | 24 | 29 | 3 |
The mean and standard deviation of their combined set of observations will respectively be
Elementary Mathematics & StatisticsMedium
2016•EPFO APFC•General Studies•Q.107
Which of the following is not an absolute measure of dispersion?
Elementary Mathematics & StatisticsMedium
2012•EPFO APFC•General Studies•Q.4
Three sets of data on comparable situations are available as under. Considering all the data sets together, the overall mean value would be:
| Data Set | Sample Size (n) | Mean | Standard Deviation (S.D.) |
|---|---|---|---|
| Set 1 | 9 | 8 | 1.6 |
| Set 2 | 12 | 7 | 1.2 |
| Set 3 | 15 | 9 | 1.4 |
Elementary Mathematics & StatisticsMedium