Question

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

Answer 1

Answer:

The population standard deviation is 1.92.

Step-by-step explanation:

Population mean:

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

$M = \frac{2 + 3 + 5 + 7}{4} = 4.25$

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.

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

The population standard deviation is 1.92.