SPM – MCQ 132 – Standard deviation
lf each value of a given group of observations is multiplied by 10 the standard deviation of the resulting observations is :
A. Original std. Deviation x 10
B. Original std. Deviation /10
C. Original std. Deviation – l0
D. Original std. Deviation itself
Correct answer : A. Original std. Deviation x 10
If we substitute 10x for x in the above formula, we can find that the SN (standard deviation of N values) will become 10 SN. (After squaring and finding square root).