moments - Function

Calculate one or more moments for a set of numbers

Synopsis
moments(highest_moment, dots, assumed_mean)

Description
You specify the highest moment you want (0=number,1=mean,2=variance, 3=skew,4=kurtosis).

You can tell it to assume a mean rather than calculating it if desired. NB: The assumed_mean argument must be explicitly indicated as in the example below ('assumed_mean=0', not just '0'); otherwise, the value specified will simply be included in the list of samples.

Arguments

highest_moment	1=mean,...4=kurtosis
dots	The values to perform statistics on
assumed_mean	If numeric, assume the mean is this value rather than calculating it; if used, parameter name must be explicitly specified
	Allowed:	numeric scalar
	Default:	[=]

Returns
the moments

Example

      - include "statistics.g"
      - moments(2, 1,3,5,7,9)
      [n=5, mean=5, variance=10, stddev=3.16228] 
      + moments(2, 1, 3, 5, 7, 9, assumed_mean=0)
      [n=5, mean=0, note=The mean was supplied - it has not been calculated, variance=41.25, stddev=6.42262]

See Also
mean, variance, stddev, skew, kurtosis

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	Package	utility
	Module	mathematics