In a data distribution, the first quartile, the median and the means are 30.8, 48.5 and 42.0 respectively. If the coefficient skewness is - 0.38

What is the appropriate value of the third quartile

56.45

Step-by-step explanation:

Coefficient skewness = (Third quartile + first quartile) - n*Median/Third quartile-first quartile

Third quartile is the unknown?

First quartile is 30.8

n is the number of steps taken from first quartile to reach third quartile which is 2 steps.

coefficient skewness is - 0.38

let p represent third quartile

-0.38 = (p+30.8) - 2 (48.5) / p-30.8

by cross multiplication

-0.38 (p-30.8) = (p+30.8) - 97

-0.38p + 11.704 = p+30.8-97

-0.38p-p=30.8-97-11.704

-1.38p=-77.904

p=-77.904 / -1.38 = 56.45