Kurtosis Formula Example. In terms of shape a platykurtic distribution has thinner tails examples of platykurtic distributions include the continuous and discrete uniform distributions and the raised cosine distribution the most platykurtic distribution of all is the bernoulli distribution with p 1 2 for. Kurtosis is a descriptive statistic that is not as well known as other descriptive statistics such as the mean and standard deviation descriptive statistics give some sort of summary information about a data set or distribution.
As the mean is a measurement of the center of a data set and the standard deviation how spread out the data set is kurtosis is a measurement of the thickness of the. Suppose s 2 5 1 3 4 5 0 2. 26 12 16 56 112 24.
Definition of kurtosis for univariate data y1 y2 yn the formula for kurtosis is.
Skr 1 n n i 1 xi x 4 s4 s k r 1 n i 1 n x i x 4 s 4. S sample standard deviation. 1987 1987 1991 1992 1992 1992 1992 1993 1994 1994 1995. Just change the exponent 3 to 4 in the formulas.
