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3 years ago

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

Mathematics

1 answer:

inessss [21]3 years ago

5 0

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)

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