I'm studying on statistics.(adsbygoogle = window.adsbygoogle || []).push({});

Then, I saw 'Kurtosis', that represents 'peakness' of the distribution.

In the text, the kurtosis is defined as 4-th central moment devided by square of variance.

But, I can't understand why the standized 4-th central moment is used.

What is the role of the square of variance? or 4-th central moment?

Please answer this problem.

Thanks.

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