# Excess Kurtosis of Continuous Uniform Distribution

## Theorem

Let $X$ be a continuous random variable which is uniformly distributed on a closed real interval $\closedint a b$.

Then the excess kurtosis $\gamma_2$ of $X$ is equal to $-\dfrac 6 5$.

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Let $X$ be a continuous random variable which is uniformly distributed on a closed real interval $\closedint a b$.

Then the excess kurtosis $\gamma_2$ of $X$ is equal to $-\dfrac 6 5$.

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