Percentiles

For a random variable X, the 100pth percentile is the unique value \pi_p such that \Pr(X \le \pi_p)=p.  A qth quantile is a value \pi_q such that \Pr(X \le \pi_q)=q.  For example, if F(1120) = 0.2, we can either say 1120 is the twentieth percentile or 1120 is the one-fifth quantile.

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