Kurtosis Formula In Statistics. The skewness can be calculated from the following formula. A normal curve has a value of 3 a leptokurtic has beta 2 greater than 3 and platykurtic has beta 2 less then 3.
μ4 x ˉx 4 n. Platykurtic distributions have negative excess kurtosis. S k e w n e s s i 1 n x i x 3 n 1 s 3.
β2 μ4 μ2.
Leptokurtic distributions have positive excess kurtosis. The greater the value of beta 2 the more peaked or leptokurtic the curve. Leptokurtic distributions have positive excess kurtosis. Kurtosis is one of the summary statistics.