Excel Kurtosis 3. Distributions with kurtosis less than 3 are said to be platykurtic although this does not imply the distribution is flat-topped. Oct 26 2020 m3 xx3 n and m2 xx2 n.
Population Excess Kurtosis Population Kurtosis 3. Due to the fact that the function contains the quantities n - 1 n - 2 and n - 3 in the denominator of a fraction we must have a data set of at least four values in order. Thats sometimes called excess kurtosis its also the fourth cumulant.
As Alecos notes in comments some people define kurtosis as E Z 4 3.
Population Excess Kurtosis Population Kurtosis 3. As is sometimes stated. An increased kurtosis 3 can be visualized as a thin bell with a high peak whereas a decreased kurtosis corresponds to a broadening of the peak and thickening of the tails. Finally the formula for kurtosis can be derived by dividing the fourth moment step 3 by the squared second moment of the distribution step 4 as shown below.
