Important: The stats package has been deprecated. Use the superseding package Statistics instead.

The function sumdata of the subpackage stats[describe, ...] computes sums of  the various powers  of the given data about any origin.

The sum of r-th power about an origin R is computed as follows: S_R:= sum( (X-R)^r ).

The function sumdata is closely related to the function moment.

The value of origin can be either a number, or the various descriptive statistic functions that can be specified via stats[describe, descriptive statistic function].

Classes are assumed to be represented by the class mark, for example 10..12 has the value 11. Missing data are ignored.

The command with(stats[describe],sumdata) allows the use of the abbreviated form of this command.

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

$\mathrm{data}≔\left[1\,3\,5\right]$

$\mathrm{data}≔\left[1\,3\,5\right]$

$\mathrm{describe}\left[\mathrm{sumdata}\left[3\right]\right]\left(\mathrm{data}\right)=1^3+3^3+5^3$

$153=153$

$\mathrm{describe}\left[\mathrm{sumdata}\left[4,1\right]\right]\left(\mathrm{data}\right)={\left(1-1\right)}^4+{\left(3-1\right)}^4+{\left(5-1\right)}^4$

$272=272$

$\mathrm{describe}\left[\mathrm{moment}\left[5,\mathrm{mean}\right]\right]\left(\mathrm{data}\right)={\left(1-3\right)}^5+{\left(3-3\right)}^5+{\left(5-3\right)}^5$

$0=0$