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The Percentile function computes the specified percentile of the specified random variable or data set.

The first parameter can be a data set (e.g., a Vector ), a Matrix data set , a distribution (see Statistics[Distribution] ), a random variable, or an algebraic expression involving random variables (see Statistics[RandomVariable] ).

The second parameter p is the percentile.

For a description of the available options, see the Statistics[Quantile] help page. Calling Percentile with percentile $p$ is equivalent to calling Quantile with probability $0.01p$.

$\mathrm{with}\left(\mathrm{Statistics}\right)\:$

$\mathrm{Percentile}\left(\mathrm{Weibull}\left(a\,b\right)\,30\right)$

$a{\ln \left(\frac{10}{7}\right)}^{\frac{1}{b}}$

$\mathrm{Percentile}\left(\mathrm{Weibull}\left(3\,5\right)\,30\right)$

$3{\ln \left(\frac{10}{7}\right)}^{\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$5$}\right.}$

$\mathrm{Percentile}\left(\mathrm{Weibull}\left(3\,5\right)\,30\,\mathrm{numeric}\right)$

$2.44104494075064$

$\mathrm{StandardError}\left(\mathrm{Percentile}\,\mathrm{Weibull}\left(3\,5\right)\,30\,\mathrm{samplesize}={10}^5\right)$

$\frac{6\sqrt{\frac{21}{10000000}}}{7{\ln \left(\frac{10}{7}\right)}^{\raisebox{1ex}{$4$}\!\left/ \!\raisebox{-1ex}{$5$}\right.}}$

$\mathrm{StandardError}\left(\mathrm{Percentile}\,\mathrm{Weibull}\left(3\,5\right)\,30\,\mathrm{numeric}\,\mathrm{samplesize}={10}^5\right)$

$0.00283364066608145$

$A≔\mathrm{Sample}\left(\mathrm{Weibull}\left(3\,5\right)\,{10}^5\right)\:$

$\mathrm{Percentile}\left(A\,30\right)$

$2.44051301316096$

$\mathrm{StandardError}\left(\mathrm{Percentile}\,A\,30\,\mathrm{samplesize}={10}^5\right)$

$0.00259401360311506618$

$M≔\mathrm{Matrix}\left(\left[\left[3\,1130\,114694\right]\,\left[4\,1527\,127368\right]\,\left[3\,907\,88464\right]\,\left[2\,878\,96484\right]\,\left[4\,995\,128007\right]\right]\right)$

$M≔\left[\begin{array}{ccc}3& 1130& 114694\\ 4& 1527& 127368\\ 3& 907& 88464\\ 2& 878& 96484\\ 4& 995& 128007\end{array}\right]$

$\mathrm{Percentile}\left(M\,29\right)$

$\left[\begin{array}{ccc}2.88000000000000& 903.520000000000& 95521.6000000000\end{array}\right]$

Stuart, Alan, and Ord, Keith. Kendall's Advanced Theory of Statistics. 6th ed. London: Edward Arnold, 1998. Vol. 1: Distribution Theory.

The A parameter was updated in Maple 16.