What is Kurtosis in Statistics?
Kurtosis is a measure of the “tailedness” of the probability distribution of a real-valued random variable. In other words, kurtosis identifies whether the tails of a given distribution contain extreme values.
How to Calculate Kurtosis in Statistics?
Kurtosis is a statistical measure used to describe the distribution of observed data around the mean. It is used to identify the tails and sharpness of a distribution. The kurtosis of a probability distribution for a random variable x is defined as the ratio of the fourth central moment (μ4) to the fourth power of the standard deviation (σ4), expressed as: [Tex]κ= σ 4 μ 4 = (E[ σ x−E[x] ]) 4 E[( σ x−E[x] ) 4 ] [/Tex]
In this article, we will explore how to calculate kurtosis in statistics.
Table of Content
- What is Kurtosis in Statistics?
- Types of Kurtosis
- How to Calculate Kurtosis?