Question

Choose the best answer.

For a given distribution the average is 15.5 and the standard deviation is 1.5.
If a sample is taken at random, which value is most likely?

20.2
10.1
16.3
12.9

Answer 1

16.3 as it is closest to the average value.

Answer 2

The answer is 16.3

Explanation:

For a random distribution with an specific mean and standard deviation, the most probable values are the ones that lie between the ( means + or - standard deviation)

so in this case, the confidence range is:

Low = 15.5-1.5= 14

High = 15.5+1.5= 17

Values that lie between this range are more probable. So in this case 16.3, which is the only value in this range, has higher chance of occuring.