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Statistics[Percentile] - compute percentiles
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Calling Sequence
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Percentile(A, p, ds_options)
Percentile(X, p, rv_options)
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Parameters
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A
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Array or Matrix data set; data sample
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X
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algebraic; random variable or distribution
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p
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algebraic; percentile
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ds_options
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(optional) equation(s) of the form option=value where option is one of ignore, method, or weights; specify options for computing the percentile of a data set
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rv_options
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(optional) equation of the form numeric=value; specifies options for computing the percentile of a random variable
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Description
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The Percentile function computes the specified percentile of the specified random variable or data set.
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The second parameter p is the percentile.
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Options
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For a description of the available options, see the Statistics[Quantile] help page. Calling Percentile with percentile  is equivalent to calling Quantile with probability  .
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Compatibility
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The A parameter was updated in Maple 16.
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Examples
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Compute the percentile of the Weibull distribution with parameters a and b.
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Use numeric parameters.
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, 30)](/support/helpjp/helpview.aspx?si=4687/file02914/math183.png)
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, 30, numeric)](/support/helpjp/helpview.aspx?si=4687/file02914/math190.png)
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Generate a random sample of size 100000 drawn from the above distribution and compute the sample percentile.
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](/support/helpjp/helpview.aspx?si=4687/file02914/math210.png)
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Consider the following Matrix data set.
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![M := Matrix([[3, 1130, 114694], [4, 1527, 127368], [3, 907, 88464], [2, 878, 96484], [4, 995, 128007]])](/support/helpjp/helpview.aspx?si=4687/file02914/math222.png)
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![M := Matrix([[3, 1130, 114694], [4, 1527, 127368], [3, 907, 88464], [2, 878, 96484], [4, 995, 128007]])](/support/helpjp/helpview.aspx?si=4687/file02914/math225.png)
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We compute 29th percentile of each of the columns.
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](/support/helpjp/helpview.aspx?si=4687/file02914/math234.png)
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References
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Stuart, Alan, and Ord, Keith. Kendall's Advanced Theory of Statistics. 6th ed. London: Edward Arnold, 1998. Vol. 1: Distribution Theory.
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Download Help Document
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