the ages (in years) of a random sample of shoppers at a gaming store are shown. determine the range, mean…

the ages (in years) of a random sample of shoppers at a gaming store are shown. determine the range, mean, variance, and standard deviation of the sample data set. 12, 18, 23, 13, 14, 17, 20, 18, 14, 18 the range is 11. (simplify your answer.) the mean is 16.7. (simplify your answer. round to the nearest tenth as needed.) the variance is 11.8. (simplify your answer. round to the nearest tenth as needed.) the standard deviation is (simplify your answer. round to the nearest tenth as needed.)
Answer
Explanation:
Step1: Recall standard - deviation formula
The standard deviation $\sigma$ of a sample is $\sigma=\sqrt{\text{Variance}}$.
Step2: Substitute the given variance value
Given variance $= 11.8$. So, $\sigma=\sqrt{11.8}$.
Step3: Calculate the value
$\sigma\approx3.4$.
Answer:
$3.4$