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Statistics[Quartile] - compute quartiles
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Calling Sequence
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Quartile(A, q, ds_options)
Quartile(X, q, 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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q
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algebraic; quartile
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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 quartile 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 quartile of a random variable
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Description
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The Quartile function computes the specified quartile of the specified random variable or data set.
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The second parameter q is the quartile.
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Options
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For a description of the available options, see the Statistics[Quantile] help page. Calling Quartile with quartile  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 quartile of the Weibull distribution with parameters a and b.
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Use numeric parameters.
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Generate a random sample of size 100000 drawn from the above distribution and compute the sample quartile.
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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=4691/file02928/math201.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=4691/file02928/math204.png)
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We compute the third quartile of each of the columns.
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](/support/helpjp/helpview.aspx?si=4691/file02928/math213.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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