Question

if the standard deviation of the data values in a sample is 13, what is the variance of the data values?

a. 169
b. 225
c. 361
d. 289

Explanation:

Step1: Recall the formula

Variance is the square of the standard deviation. Let \(s\) be the standard deviation and \(s^{2}\) be the variance. So \(s^{2}=s\times s\).

Step2: Substitute the value

Given \(s = 13\), then \(s^{2}=13\times13\).

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Answer:

A. 169