Skewness And Kurtosis Normality. A normally distributed data has both skewness and kurtosis equal to zero. Because of the 4th power smaller values of centralized values y i µ in the above equation are greatly de emphasized.
Skewness is a measure of symmetry or more precisely the lack of symmetry. A distribution or data set is symmetric if it looks the same to the left and right of the center point. Because of the 4th power smaller values of centralized values y i µ in the above equation are greatly de emphasized.
Larger kurtosis indicates a more serious outlier problem and may lead the researcher to choose alternative statistical methods.
Skewness is a measure of symmetry or more precisely the lack of symmetry. Kurtosis ranges from 1 to infinity. The minus 3 at the end of this formula is often explained as a correction to make the kurtosis of the normal distribution equal to zero as the kurtosis is 3 for a normal distribution. A normally distributed data has both skewness and kurtosis equal to zero.