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The skewness formula that shows up when I Google it is: Skewness Formula

I know what each of these values are individually, but I’m having a hard time seeing intuitively why this specific formula give a value for skewness, especially why parts of it are being cubed.

I also am curious how this formula was derived, and if it has any practical use.

Aidan
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    The population skewness is usually defined as $\mathbb E\left[\left(\dfrac{X-\mu}{\sigma} \right)^{3} \right]$ so rescaled and relocated to give $\mathbb E\left[\left(\dfrac{X-\mu}{\sigma} \right)^{1} \right]=0$ and $\mathbb E\left[\left(\dfrac{X-\mu}{\sigma} \right)^{2} \right]=1$. – Henry Jul 07 '22 at 07:48
  • @Glen_b - OK - I see that now – Henry Jul 07 '22 at 08:56
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    See https://stats.stackexchange.com/questions/56689 and https://stats.stackexchange.com/questions/159098 inter alia. – whuber Jul 07 '22 at 14:19

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