BoxWhiskerPlot
BoxWhiskerPlot[data]
creates a box‐and‐whisker plot of the given vector of data.
BoxWhiskerPlot[data1,data2,…]
creates multiple box‐and‐whisker plots.
BoxWhiskerPlot[matrix]
also creates multiple box‐and‐whisker plots, with each column of the matrix used for a separate box.
Details and Options
- To use BoxWhiskerPlot, you first need to load the Statistical Plots Package using Needs["StatisticalPlots`"].
- BoxWhiskerPlot creates a plot with a box that spans the distance between two quantiles surrounding the median with lines ("whiskers") that extend to span either the full dataset or the dataset excluding outliers.
- The default box spans from the 0.25 quantile to the 0.75 quantile.
- Quantiles used are equivalent to those computed using Quantile.
- Near outliers are defined as points beyond
times the interquantile range from the edge of the box. Far outliers are defined as points beyond three times that range. - BoxWhiskerPlot has the same options as Graphics, with the following additions and changes:
-
BoxExtraSpacing 0 extra space to place between boxes BoxFillingStyle Automatic colors to use for the boxes BoxLabels Automatic labels for the boxes BoxLineStyle Automatic styles to use for lines in the graph BoxMedianStyle Automatic additional styles for the median line BoxOrientation Vertical orientation of the plot BoxOutlierMarkers Automatic markers for outlier points BoxOutliers None which outliers to indicate BoxQuantile 0.25 distance of quantile from median for box edges Frame True whether to put a frame around the plot - BoxLineStyle and BoxMedianStyle can be any valid graphics directives for lines.
- Valid settings for BoxOrientation are Vertical and Horizontal.
- Valid settings for BoxOutliers are None, Automatic, and All.
- Valid settings for BoxOutlierMarkers are the same as for PlotMarkers.
- Valid settings for BoxQuantile are numbers between zero and 0.5.
Examples
open all close allBasic Examples (1)
Needs["StatisticalPlots`"]A box-and-whisker plot for a standard normal sample:
BoxWhiskerPlot[RandomReal[NormalDistribution[0, 1], 100]]A box-and-whisker plot for a normal sample and a uniform sample:
data1 = RandomReal[NormalDistribution[0, 1], 100];
data2 = RandomReal[{0, 1}, 100];BoxWhiskerPlot[data1, data2]Options (9)
BoxExtraSpacing (1)
Needs["StatisticalPlots`"]A default box-and-whisker plot for two datasets:
data1 = RandomReal[NormalDistribution[0, 1], 100];
data2 = RandomReal[{0, 1}, 100];BoxWhiskerPlot[data1, data2]Add an additional box width between the plots:
BoxWhiskerPlot[data1, data2, BoxExtraSpacing -> 1]BoxLabels (1)
BoxLineStyle (1)
BoxMedianStyle (1)
BoxOrientation (1)
BoxOutliers (1)
Needs["StatisticalPlots`"]Mark near and far outliers identically:
BoxWhiskerPlot[{1, 700, 800, 1100, 1200, 1000, 900, 1000, 2500},
BoxOutliers -> All]Use triangles for near outliers and squares for far outliers:
BoxWhiskerPlot[{1, 700, 800, 1100, 1200, 1000, 900, 1000, 2500},
BoxOutliers -> Automatic, BoxOutlierMarkers -> {\!\(\*
GraphicsBox[
PolygonBox[{{0.31361111111111, 0.569141111111111}, {
0.0202777777777772, 0.0358077777777774}, {0.611388888888888,
0.0358077777777774}}],
ImageSize->{19., 16.},
PlotRange->{{0, 1}, {0, 0.61803}},
PlotRegion->{{0., 1.57342657342657}, {0., 1.}}]\), \!\(\*
GraphicsBox[RectangleBox[{0, 0}],
ImageSize->{11., Automatic}]\)}]BoxOutlierMarkers (1)
Needs["StatisticalPlots`"]Use triangles for near outliers and squares for far outliers:
BoxWhiskerPlot[{1, 700, 800, 1100, 1200, 1000, 900, 1000, 2500},
BoxOutliers -> Automatic, BoxOutlierMarkers -> {\!\(\*
GraphicsBox[
PolygonBox[{{0.31361111111111, 0.569141111111111}, {
0.0202777777777772, 0.0358077777777774}, {0.611388888888888,
0.0358077777777774}}],
ImageSize->{19., 16.},
PlotRange->{{0, 1}, {0, 0.61803}},
PlotRegion->{{0., 1.57342657342657}, {0., 1.}}]\), \!\(\*
GraphicsBox[RectangleBox[{0, 0}],
ImageSize->{11., Automatic}]\)}]Text
Wolfram Research (2007), BoxWhiskerPlot, Wolfram Language function, https://reference.wolfram.com/language/StatisticalPlots/ref/BoxWhiskerPlot.html.
CMS
Wolfram Language. 2007. "BoxWhiskerPlot." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/StatisticalPlots/ref/BoxWhiskerPlot.html.
APA
Wolfram Language. (2007). BoxWhiskerPlot. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/StatisticalPlots/ref/BoxWhiskerPlot.html