Question

If the S.D. of a set of observations is $8$ and if each observation is divided by $-2$, the S.D. of the new set of observations will be

• A. $-4$
• B. $-8$
• C. $8$
• D. $4$

Answer 1

The correct option is D $4$

We know that if $y=\frac{x}{h}$
When $\sigma y=\frac{{\sigma }_x}{|h|}$
Hence the S.D. of new set of observations will be $\frac{8}{|-2|}=4$