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:
[tex]M = \frac{2 + 3 + 5 + 7}{4} = 4.25[/tex]
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.
[tex]S = \sqrt{\frac{(2-4.25)^2 + (3-4.25)^2 + (5-4.25)^2 + (7-4.25)^2}{4}} = 1.92[/tex]
The population standard deviation is 1.92.