Question

if the standard deviation of the data values in a sample is 13, what is the variance of the data values?
choice
a 361
b 225
c 289
d 169

Explanation:

Step1: Recall the formula

The formula for variance ($\sigma^{2}$) and standard deviation ($\sigma$) is $\sigma^{2}=\sigma\times\sigma$.

Step2: Substitute the value

Given $\sigma = 13$, then $\sigma^{2}=13\times13$.

Step3: Calculate the result

$13\times13 = 169$.

Answer:

D. 169