Question

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, 8, 15, 2, 15, 6, 11, 8, 5, 8. the range is 13. (simplify your answer.) the population mean is 8. (simplify your answer. round to the nearest tenth as needed.) the population variance is 19.2. (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.)

Explanation:

Step1: Recall standard - deviation formula

The standard deviation $\sigma$ of a population is $\sigma=\sqrt{\text{Variance}}$.

Step2: Substitute the given variance

We are given that the population variance is $19.2$. So, $\sigma = \sqrt{19.2}$.

Step3: Calculate the value

$\sigma=\sqrt{19.2}\approx 4.4$

Answer:

$4.4$