What is the term for a distribution where the probability of extreme values is greater than a normal distribution? What is the term for a distribution where the probability of extreme values is greater than a normal distribution? Leptokurtic Symmetric Mesokurtic Platykurtic

The term for a distribution where the probability of extreme values is greater than a normal distribution is "Leptokurtic."

Explanation

In statistics, kurtosis is a measure of the "tailedness" of the probability distribution of a real-valued random variable. A leptokurtic distribution has a higher peak and fatter tails compared to a normal distribution. This means that the probability of obtaining extreme values (values far from the mean) is higher in a leptokurtic distribution than in a normal distribution.

In contrast:

• Mesokurtic refers to a distribution with kurtosis similar to that of a normal distribution.
• Platykurtic refers to a distribution with lower kurtosis than a normal distribution, indicating thinner tails and a flatter peak.
• Symmetric is not directly related to kurtosis but rather describes the shape of the distribution in terms of its symmetry around the mean.

Thus, the correct term for a distribution with a higher probability of extreme values than a normal distribution is "Leptokurtic."