Question

Choose the most appropriate options. 
If the SD of a set of observations is 8 and each observation is divided by -2, then the SD of the new set of observation will be:

• A. -4
• B. -8
• C. 8
• D. 4

Hint:

When observations are scaled by a constant, the SD changes by the same factor.

Answer 1

The Correct Option is D

The standard deviation (SD) is affected by a constant factor.
If each observation is divided by a constant, the SD is divided by the same constant.
So, if the original SD is 8 and each observation is divided by -2, the new SD will be: \[ \text{New SD} = \frac{8}{2} = 4 \]