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

Given:

average 15.5

standard deviation 1.5

Allowable range: 15.5 + 1.5 = 17; 15.5 - 1.5 = 14

The sample must be between 14 and 17 to still be within the standard deviation. Among the choices, only 16.3 is within the limit.

16.3 is the value most likely to be taken as a sample.