Question

Using the formula, find the coefficient of skewness for each distribution, and describe the shape of the distribution.

Answer 1

Answer:

a) As =  0.67  right skewness

b) As =  -0.75  left skewness

c) As =  0   ( Symmetric )

d) As = 0.1 ( slightly unsimmetric ) right skewness

Step-by-step explanation:

We will use the formula

As = skewness coefficient

μ  = mean of distribution

Μ = median of distribution

And Pearson formula :     As = ( μ - Μ) / σ

a)  As = ( 10- 8 ) /3      =2/3  = 0.67

The distribution is right-skewness  (positive skewness)

b) As = ( 42 - 45 ) / 4  = -3/4 = -0.75

The distribution is left skewness  (negative skewness)

c) As = ( 18.6 - 18.6 )/ 1.5      = 0

The curve of the distribution is is symmetric

d) As = ( 98 - 97.6 ) / 4    = 0.4/4  = 0.1

The distribution is right skewness (slightly unsimmetric)