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