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I am confuse whether the volatility and dispersion is same or not because are use to measure the risk associated with asset. Even if they are different than what is the relationship between, if exist.

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Dispersion (also called variability, scatter, or spread) is the extent to which a distribution varies (to the left and right) from its central tendency. Sample variance, $\sigma^2$ is the most common measure of dispersion. The square root of variance, $\sqrt{\sigma^2}$, is standard deviation, $\sigma$.

In finance, risk is proxied with volatility, which is measured using the standard deviation, $\sigma$.

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