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:
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:
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When observations are scaled by a constant, the SD changes by the same factor.
Updated On: Dec 11, 2025
- -4
- -8
- 8
- 4
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The Correct Option is D
Solution and Explanation
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: \[ \text{New SD} = \frac{8}{2} = 4 \]
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: \[ \text{New SD} = \frac{8}{2} = 4 \]
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