Skewness And Kurtosis Pdf. If skewness is less than 1 or greater than 1 the distribution is highly skewed. For this data set the skewness is 1 08 and the kurtosis is 4 46 which indicates moderate skewness and kurtosis.
Dealing with skewness and kurtosis many classical statistical tests and intervals depend on normality assumptions. In probability theory and statistics kurtosis from greek. These are presented in more detail below.
Comparing measures of sample skewness and kurtosis.
But by symmetry and linearity e x a 3 e a x 3 e x a 3 so it follows that e x a 3 0. The converse is not true a non symmetric distribution can have skewness 0. Here x is the sample mean. If skewness is between 1 and 0 5 or between 0 5 and 1 the distribution is moderately skewed.
