The QuantilePlot command generates a quantile-quantile plot for the specified data.

The first parameter X is the first data sample - given as e.g. a Vector.

The second parameter Y is the second data sample - given as e.g. a Vector.

If the ['interactive'] option is used, then a dialog box appears that allows for customized creation of the plot.

The options argument can contain one or more of the options shown below. All unrecognized options will be passed to the plots[display] command. See plot/options for details.

color=name, list, or range

This option specifies colors for the points and for the reference line. When a list of colors is given, the set of points and the reference line are colored with the corresponding colors in the list. If a range of colors is given, the colors are generated by selecting an appropriate number of equally spaced points in the corresponding hue range.

method=integer[1..9]

Method for calculating the quantiles. See Statistics[Quantile] for more details.

reference=true or false

If reference is set to true, the reference line $y=x$ is drawn in the same plot. Default value is true.

samplesize= positive integer

The number of points to be plotted. The quantiles taken will be $Q\left(\frac{i}{\mathrm{numpoints}}\right)$ for $i=1..\mathrm{numpoints}$ The default value is 25.

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

$X≔\mathrm{Sample}\left(\mathrm{Normal}\left(5\,2\right)\,500\right)\:$

$Y≔\mathrm{Sample}\left(\mathrm{Normal}\left(5\,2\right)\,500\right)\:$

$Z≔\mathrm{Sample}\left(\mathrm{Normal}\left(6\,3\right)\,500\right)\:$

$\mathrm{QuantilePlot}\left(X\,Y\right)$

$\mathrm{QuantilePlot}\left(X\,Z\right)$

$\mathrm{QuantilePlot}\left(X\,Y\,\mathrm{symbolsize}=15\,\mathrm{symbol}=\mathrm{circle}\,\mathrm{color}=\left[''Black''\,''Red''\right]\,\mathrm{axis}\left[2\right]=\left[\mathrm{gridlines}=\left[8\,\mathrm{color}=''Grey''\right]\right]\right)$