Question

For a distribution, the mean is 10, variance is 16, γ₁ is + 1 and β₂ is 4. The distribution is:
1. leptokurtic
2. platykurtic
3. normal
4. mesokurtic

Answer 1

Correct Answer - Option 1 : leptokurtic

Given

For a distribution

μ₁ = 10          

μ₂ = 16

γ₁ = -1

β₂ = 4

Explanation

If β₂ > 3 then the curve is leptokurtic

⇒ If Β₂ = 3 then the curve is mesokurtic

⇒ If Β₂ < 3 then the curve is pletykurtic

Here β₂ = 4 > 3

⇒ γ₂ = β₂ – 3

⇒ γ₂ = 4 – 3 = 1

∴ The curve is Leptokurtic