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

The function split of the subpackage stats[transform, ...] splits the data list, data, into n data lists of same weight.

Missing items are taken into account.

This function is useful in constructing histograms where each bar has the same area.

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

$\mathrm{data}≔\left[1\,2\,3\,4\,5\right]$

$\mathrm{data}≔\left[1\,2\,3\,4\,5\right]$

$\mathrm{transform}\left[\mathrm{split}\left[3\right]\right]\left(\mathrm{data}\right)$

$\left[\left[1\,\mathrm{Weight}\left(2\,\frac{2}{3}\right)\right]\,\left[\mathrm{Weight}\left(2\,\frac{1}{3}\right)\,3\,\mathrm{Weight}\left(4\,\frac{1}{3}\right)\right]\,\left[\mathrm{Weight}\left(4\,\frac{2}{3}\right)\,5\right]\right]$

$\mathrm{Numbers}≔\left[\mathrm{random}\left[\mathrm{normald}\right]\left(300\right)\right]\:$

$\mathrm{Numbers\_sorted}≔\mathrm{transform}\left[\mathrm{statsort}\right]\left(\mathrm{Numbers}\right)\:$

$\mathrm{N\_list}≔5\:$

$\mathrm{Split\_lists}≔\mathrm{transform}\left[\mathrm{split}\left[\mathrm{N\_list}\right]\right]\left(\mathrm{Numbers\_sorted}\right)\:$

$\mathrm{Classes}≔\mathrm{map}\left(x\mapsto \mathrm{Weight}\left(\mathrm{describe}\left[\mathrm{range}\right]\left(x\right)\,\frac{1}{\mathrm{N\_list}}\right)\,\mathrm{Split\_lists}\right)\:$

$\mathrm{Hist}≔\mathrm{statplots}\left[\mathrm{histogram}\right]\left(\mathrm{Classes}\right)\:$

$\mathrm{Theor}≔\mathrm{plot}\left(\mathrm{statevalf}\left[\mathrm{pdf},\mathrm{normald}\right]\,\mathrm{describe}\left[\mathrm{range}\right]\left(\mathrm{Numbers}\right)\right)\:$

$\mathrm{plots}\left[\mathrm{display}\right]\left(\mathrm{Hist}\,\mathrm{Theor}\right)$