Question

Consider a population consisting of values 2, 3, 5, 7. what is the population standard deviation?

Answer 1

The population standard deviation is 1.92.

Explanation:

Population mean:

Sum of all values divided by the number of values. Thus:

`M = (2 + 3 + 5 + 7)/(4) = 4.25`

Population standard deviation:

Square root of the division between the sum of the difference squared of each value and the mean, and the number of values. Thus.

`S = \sqrt{((2-4.25)^2 + (3-4.25)^2 + (5-4.25)^2 + (7-4.25)^2)/(4)} = 1.92`

The population standard deviation is 1.92.