Question

The second and third moments of a distribution about the arithmetic mean are 16 and -64 respectively. Coefficient of skewness is given by

Answer 1

Answer:

GG

Step-by-step explanation:GG

Answer 2

Given

• second moment m2= 16
• third moment m3= -64

To find

• Coefficient of skewness

Solution

we are provided with the second and third Central moments of a distribution and are asked to find the coefficient of skewness of the distribution.

skewness of distribution is the measure of lack of symmetry

measure of skewness by method of moments, is given by

B = (m3)^2/(m2)^3

or, B = (-64)^3/(16)^3

or, B = 4096/4096

or, B = 1

measure of skewness of this distribution is 1.