Question

if a data set has 25 values and a standard deviation of 9.4 then the variance is a. 88.4 b. 1.9 c.47.0d.17.7

Answer 1

by definition the standar deviation is the square root of the variance

$s=\sqrt[]{s^2}$

if you have the standrar deviation you should do the opposite

$(s)^2=s^2$

replacing in the formula

$\begin{gathered} s^2=(9.4)^2 \\ s^2=88.36 \\ s^2\approx88.4 \end{gathered}$

the variance is 88.4 aproximately