Kurtosis Of Normal Distribution. Mesokurtic leptokurtic and platykurtic. The normal distribution has a kurtosis value of 3.
Normal Distributions Standard Deviations Modality Skewness And Kurtos Standard Deviation Normal Distribution Mean Median And Mode from www.pinterest.com
This definition is used so that the standard normal distribution has a kurtosis of three. The peak is the tallest part of the distribution and the tails are the ends of the distribution. Kurtosis is measured by moments and is given by the following formula.
If the distribution is closely concentrated about μ σ then kurtosis is necessarily small while if the distribution is spread out away from μ σ which will tend to simultaneously pile it up in the center and move probability into the tails in order to move it away from the shoulders fourth moment kurtosis will be large.
If the curve of a distribution is more outlier prone or heavier tailed than a normal or mesokurtic curve then it is referred to as a leptokurtic curve. It means that the extreme values of the distribution are similar to that of a normal distribution characteristic. The types of kurtosis are determined by the excess kurtosis of a particular distribution. A distribution with negative excess kurtosis is called platykurtic or platykurtotic platy means broad.
