The numbers of regular season wins for $10$ football teams in a given season are given below. Determine the range, mean, variance, and standard deviation of the population data set.

$2,10,15,5,12,9,13,10,3,8$

The range is

$($Simplify your answer.$)$

The population mean is

$($Simplify your answer. Round to the nearest tenth as needed.$)$

The population variance is

$($Simplify your answer. Round to the nearest tenth as needed.$)$

The population standard deviation is

$($Simplify your answer. Round to the nearest tenth as needed.$)$