The normal distribution may be defined by setting this property equal to zero; for that reason, the normal distribution is sometimes called the mesokurtic distribution.
A common definition of this quantity is as the fourth central moment divided by the square of the second central moment, minus three, which is sometimes known as its "excess." This definition gives a value of six by the quantity pi minus 4 for the t-distribution and negative six fifths for a uniform distribution. The normal distribution may be defined by setting this property equal to zero; for that reason, the normal distribution is sometimes called the mesokurtic distribution. For a sample of a normally distributed population, if it is high, more of the variance is due to infrequent, extreme deviations, than frequent, small ones. For ten points, identify this measure of the "peakedness" of a probability distribution.
A common definition of this quantity is as the fourth central moment divided by the square of the second central moment, minus three, which is sometimes known as its "excess.
{kurtosis}