Question

If coefficient of skewness=-0.4, mean=45, median =48, calculate standard deviation.

Answer 1

Answer:

the standard deviation is 22.5

Answer 2

Standard deviation = 22.5

Coefficient of skewness measures the distortion that deviates from normal distribution.

Standard deviation shows how much data deviates from its mean.

Coefficient of skewness = ((mean-median)*3)/standard deviation

Let us put the given values in the above formula;

-0.4 = ((45-48)*3)/standard deviation

⇒ -0.4= (-3*3)/standard deviation

⇒standard deviation = -9/-0.4

⇒standard deviation =22.5