Question

view the video through time 8:32, then answer the following question. measures of variability (range, standard deviation, variance) after gathering data on the height of everyone in your class, you know that the population standard deviation, σ, is 4 inches. calculate the population variance, σ². the population variance, σ², is ______. a. 4 in² b. 2 in c. 16 in² d. 16 in

Explanation:

Step1: Recall the relationship between variance and standard deviation

The population variance ($\sigma^2$) is the square of the population standard deviation ($\sigma$). The formula is $\sigma^2=\sigma\times\sigma$.

Step2: Substitute the given standard deviation

We know that $\sigma = 4$ inches. So we calculate $\sigma^2$ as $4\times4$.
$4\times4 = 16$ (with units $\text{in}^2$ since variance is the square of standard deviation's units).

Answer:

C. 16 in²