Statistics Tutorials: The Definitive Guide to Percentiles – All the Tricks on the Book

Cumulative Distribution

\[{{F}_{X}}\left( x \right)=\Pr \left( X\le x \right)\]

What is a Percentile?

\[\Pr \left( X\le {{P}_{\alpha }} \right)=\alpha\]

How to Compute is a Percentile?

\[\alpha ={{F}_{X}}\left( x \right)\]

A Percentile is a parameter or a Statistic?

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