Question

9. The standard deviation of a data set is 3. If each value is multiplied by 5 then the new variance is
a. 3
b. 15
c. 5
d. 225

Answer 1

if each value is multiplied by 5 then new variance is 15

Answer 2

Answer:

The correct answer is option D

Step-by-step explanation:

The square of standard deviation is variance.

The Standard deviation,$\sigma=3$

Step 1: Multiply the standard deviation by $5 .$

$\begin{aligned}\sigma_{\text {new }} &=3 \times 5 \\&=15\end{aligned}$

Step 2: Compute the new variance as follows:

$\begin{aligned}\left(\sigma_{\text {ncw }}\right)^{2} &=(15)^{2} \\&=225\end{aligned}$