Statistics/Decile

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Statistics[Decile] - compute deciles

	Calling Sequence
	Decile(A, d, ds_options) Decile(M, d, ds_options) Decile(X, d, rv_options)

Parameters

A	-	Array; data sample
M	-	Matrix data set
X	-	algebraic; random variable or distribution
d	-	algebraic expression or list of algebraic expressions; deciles
ds_options	-	(optional) equation(s) of the form option=value where option is one of ignore, method, or weights; specify options for computing the decile of a data set
rv_options	-	(optional) equation of the form numeric=value; specifies options for computing the decile of a random variable

Description

•	The Decile function computes the specified decile of the specified random variable or data set.

•	The first parameter can be a data set (represented as an Array or 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 d is a decile or list of deciles.

Options

For a description of the available options, see the Statistics[Quantile] help page. Calling Decile with decile is equivalent to calling Quantile with probability .

Examples

Compute a decile of the Weibull distribution with parameters a and b.

a*ln(10/7)^(1/b)

(1)

Use numeric parameters.

(2)

(3)

(4)

Generate a random sample of size 100000 drawn from the above distribution and compute the sample decile.

(5)

(6)

Consider the following Matrix data set.

M := Matrix([[3, 1130, 114694], [4, 1527, 127368], [3, 907, 88464], [2, 878, 96484], [4, 995, 128007]])

(7)

We compute the sixth decile for each column.

(8)

	See Also
	Statistics, Statistics[Computation], Statistics[DescriptiveStatistics], Statistics[Distributions], Statistics[Quantile], Statistics[RandomVariables], Statistics[StandardError]