Kurtosis Formula In Statistics. Kurtosis formula this page explains the formula for kurtosis excess kurtosis sample kurtosis and sample excess kurtosis. Kurtosis is one of the summary statistics.
S k e w n e s s i 1 n x i x 3 n 1 s 3. I th variable of the distribution. The formula for kurtosis is expressed as the ratio of the fourth moment and variance s 2 squared or squared the second moment of the distribution.
Var g 2 24 n n 1 2 n 3 n 2 n 3 n 5 displaystyle operatorname var g 2 frac 24n n 1 2 n 3 n 2 n 3 n 5.
The formula for kurtosis is expressed as the ratio of the fourth moment and variance s 2 squared or squared the second moment of the distribution. Leptokurtic distributions have positive excess kurtosis. A normal curve has a value of 3 a leptokurtic has beta 2 greater than 3 and platykurtic has beta 2 less then 3. I th variable of the distribution.
