Question

Find coefficient from the following data using an appropriate method and determine which population is more skewed among A and B:

Population A : 4Q₁ = 3Q₂ = 2Q₃ = 144
Population B : Q₁ = 34.8, Q₂ = 45.5 and Q₃ = 70

Answer 1

Population A:

4Q₁ = 3Q₂ = 2Q₃ = 144
4Q₁ = 144 ∴ Q₁ = 144 / 4 = 36
3Q₂ = 144 ∴ Q₂ = 144 / 3 = 48
2Q₃ = 144 ∴ Q₃ = 144 / 2 = 72

Coefficient of skewness:

Population B:

Q₁ = 34.8
Q₂ = 45.5
Q₃ = 70

Coefficient of skewness: