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

a. Mean 10, median 8, standard deviation 3.

b. Mean 42, median 45, standard deviation 4.

c. Mean 18.6, median 18.6, standard deviation 1.5.

d. Mean 98, median 97.6, standard deviation 4.

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)