A) \[a\sigma \]
B) \[\frac{a}{c}\sigma \]
C) \[\left| \frac{a}{c} \right|\sigma \]
D) \[\frac{a\sigma +b}{c}\]
Correct Answer: C
Solution :
We know that, the standard deviation does not alter when a constant quantity k is added to or subtracted from each value of the variable of the series. \[\therefore \] \[SD\left( \frac{aX+b}{c} \right)=\left| \frac{a}{c} \right|X=\left| \frac{a}{c} \right|\,\sigma (X=\sigma )\]
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