Question

the ages (in years) of a random sample of shoppers at a gaming store are show mean, variance, and standard deviation of the sample data set.
12, 19, 23, 14, 19, 18, 21, 18, 15, 19
the range is 11 .
(simplify your answer.)
the mean is 17.8 .
(simplify your answer. round to the nearest tenth as needed.)
the variance is 10.8 .
(simplify your answer. round to the nearest tenth as needed.)
the standard deviation is □ .
(simplify your answer. round to the nearest tenth as needed.)

Explanation:

Step1: Recall the formula for standard deviation

The standard deviation ($s$) of a sample is the square root of the sample variance ($s^2$). The formula is $s = \sqrt{s^2}$.

Step2: Substitute the variance value

We know the sample variance is $10.8$. So we need to calculate the square root of $10.8$.

Step3: Calculate the square root

Using a calculator, $\sqrt{10.8} \approx 3.3$ (rounded to the nearest tenth).

Answer:

3.3