BoxWhiskerChart

BoxWhiskerChart[{x1,x2,}]

makes a boxandwhisker chart for the values xi.

BoxWhiskerChart[{x1,x2,},bwspec]

makes a chart with boxandwhisker symbol specification bwspec.

BoxWhiskerChart[{data1,data2,},]

makes a chart with boxandwhisker symbol for each datai.

BoxWhiskerChart[{{data1,data2,},},]

makes a boxandwhisker chart from multiple groups of datasets {data1,data2,}.

Details and Options

Examples

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Basic Examples  (6)

Generate a box-and-whisker chart for a data vector:

Generate a box-and-whisker chart for a list of data vectors:

Chart several collections of datasets:

Customize the appearance of the box-and-whisker chart:

Show outliers:

Use categorical labels:

Categorical legends:

Show outliers:

Show notches for the median confidence interval:

Scope  (45)

Data and Wrappers  (17)

Single data vector:

Multiple data vectors:

Data vectors in a dataset are grouped together:

Datasets do not need to have the same number of data vectors:

Nonreal data is taken to be missing and typically yields a gap in the box-and-whisker chart:

A nonreal entry in a data vector is omitted:

The data may include units:

Specify the units to use:

The time stamps in TimeSeries, EventSeries, and TemporalData are ignored:

The values in associations are taken as the heights of the bars:

Use the keys as labels:

Use the keys as legends:

Associations can be nested:

Use WeightedData to add weights to data:

Use EventData to add censoring and truncation information:

Use wrappers on an individual data vector, datasets, or collections of datasets:

Inner wrappers take precedence over outer wrappers:

Override the default tooltips:

Use PopupWindow to provide additional drilldown information:

Use the other charting function in PopupWindow to provide more information:

Button can be used to trigger any action:

Elements  (11)

Use named presets:

Style the whiskers:

Vary the width of the fences:

Style the fences:

Use different shapes for outliers:

Style the outliers:

Use different shapes for far outliers:

Style the far outliers:

Vary the width of the median marker:

Style the median marker:

Use a different shape of median marker:

Do not show the median marker:

Vary the width of the median confidence interval:

Style the median confidence interval:

Vary the width of the mean marker:

Style the mean marker:

Use a different shape of mean marker:

Vary the width of the mean confidence interval:

Style the mean confidence interval:

Combine individual elements with named presets:

Combine elements with ChartElementFunction:

Styling and Appearance  (9)

Use an explicit list of styles for the box-and-whiskers:

Use any gradient or indexed color schemes from ColorData:

Use color schemes designed for charting:

ChartBaseStyle can be used to set an initial style for all chart elements:

Style can be used to override styles:

Use built-in programmatically generated bars:

For detailed settings use Palettes ChartElementSchemes:

Use a theme with simple ticks and grid lines:

Use a theme with detailed ticks and a reference line:

Change the origin of box-and-whiskers:

Adjust the spacing between individuals and groups of box-and-whiskers:

Labeling and Legending  (8)

Use Labeled to add a label to a box-and-whisker:

Use symbolic positions for label placement:

Provide categorical labels for the columns of data:

For rows of data:

For both:

Use Placed to control the positioning of labels, using the same positions as for Labeled:

Provide value labels for box-and-whisker by using LabelingFunction:

Use Placed to control placement and formatting:

Add categorical legend entries for the columns of data:

For rows of data:

Use Legended to add additional legend entries:

Use Placed to affect the positioning of legends:

Options  (96)

AspectRatio  (3)

By default, AspectRatio uses a fixed ratio of the height to the width of the plot:

Make the height the same as the width with AspectRatio1:

AspectRatioFull adjusts the height and width to tightly fit inside other constructs:

Axes  (4)

By default, BoxWhiskerChart uses a frame instead of axes:

Use axes instead of a frame:

Use AxesOrigin to specify where the axes intersect:

Turn each axis on individually:

AxesLabel  (4)

No axes labels are drawn by default:

Place a label on the axis:

Specify axes labels:

Use units as labels:

AxesOrigin  (2)

The position of the axes is determined automatically:

Specify an explicit origin for the axes:

AxesStyle  (4)

Change the style for the axes:

Specify the style of each axis:

Use different styles for the ticks and the axes:

Use different styles for the labels and the axes:

BarOrigin  (1)

Change the bar origin:

BarSpacing  (4)

BoxWhiskerChart automatically selects the spacing between bars:

With groups of data:

Use symbolic spacing:

With groups of data:

Use explicit spacing between bars:

With groups of data:

Use no bar spacing:

Within groups of data:

ChartBaseStyle  (3)

Use ChartBaseStyle to style box-and-whisker charts:

ChartBaseStyle combines with ChartStyle:

ChartStyle may override settings for ChartBaseStyle:

ChartElementFunction  (3)

Get a list of built-in settings for ChartElementFunction:

For detailed settings, use Palettes ChartElementSchemes:

Use named specifications with ChartElementFunction:

ChartLabels  (9)

By default labels are placed under the frame:

Use Placed to control label placement:

Symbolic positions outside the bar:

Use positions relative to the box-and-whisker charts:

Use group labels to label groups:

Coordinate-based placement relative to a bar:

Place all labels at the upper-right corner and vary the coordinates within the label:

Use the third argument to Placed to control formatting:

Place multiple labels:

ChartLegends  (1)

Generate a legend based on chart style:

Place the legend below the chart:

ChartStyle  (5)

Use ChartStyle to style the bars:

Give a list of styles:

Use "Gradient" colors from ColorData:

Use "Indexed" colors from ColorData:

Styles are used cyclically:

Style datasets in a group:

Style groups of datasets:

Element styles override ChartStyle:

Frame  (4)

BoxWhiskerChart uses a frame by default:

Use FrameFalse to turn off the frame:

Draw a frame on the left and right edges:

Draw a frame on the left and bottom edges:

FrameLabel  (3)

Place a label along the bottom frame of a chart:

Frame labels are placed on the bottom and left frame edges by default:

Place labels on each of the edges in the frame:

FrameStyle  (2)

Specify a style for the frame:

Specify style for each frame edge:

FrameTicks  (6)

Frame ticks are placed automatically by default:

Use All to include tick labels on both left and right edges:

Place tick marks at the specified positions:

Draw frame tick marks at the specified positions with specific labels:

Specify the lengths for tick marks as a fraction of the graphics size:

Use different sizes in the positive and negative directions for each tick mark:

Specify a style for each frame tick:

FrameTicksStyle  (3)

By default, frame ticks and frame tick labels use the same styles as the frame:

Specify an overall style for the ticks, including the labels:

Use a different style for each frame edge:

ImageSize  (7)

Use named sizes such as Tiny, Small, Medium and Large:

Specify the width of the plot:

Specify the height of the plot:

Allow the width and height to be up to a certain size:

Specify the width and height for a graphic, padding with space if necessary:

Setting AspectRatioFull will fill the available space:

Use maximum sizes for the width and height:

Use ImageSizeFull to fill the available space in an object:

Specify the image size as a fraction of the available space:

Joined  (1)

Join the medians of the datasets:

LabelingFunction  (2)

By default, bars have tooltips with a summary table of the data:

Define a labeling function and place it in a tooltip:

LabelingSize  (4)

Textual labels are shown at their actual sizes:

Image labels are automatically resized:

Specify a maximum size for textual labels:

Specify a maximum size for image labels:

Show image labels at their natural sizes:

Method  (3)

Use bar widths proportional to the square root of the data sizes:

Use bar widths proportional to the data sizes:

Put bars on fixed positions with varying bar spacing:

Use constant-width bars:

BoxWhiskerChart uses Quartiles to calculate quartiles and extremes:

Use Quantile instead:

Use Quantile with parameters for mode-based estimates:

Create a box-whisker plot using precomputed statistics:

PerformanceGoal  (3)

Generate a box-and-whisker chart with interactive highlighting:

Emphasize performance by disabling interactive behaviors:

Typically less memory is required for non-interactive charts:

PlotTheme  (2)

Use a theme with a high contrast color scheme and glassy rectangle boxes:

Change the chart style:

ScalingFunctions  (3)

Linear scale is used by default:

Use log scale in the coordinate:

When logarithm scale is used, non-positive data is dropped automatically:

Ticks  (6)

Ticks are placed automatically for each axis:

Use TicksNone to draw axes without any tick marks:

Place tick marks at the specified positions:

Draw tick marks at the specified positions with specific labels:

Specify the lengths for ticks as a fraction of graphics size:

Use different sizes in the positive and negative directions for each tick:

Specify a style for each tick:

TicksStyle  (4)

By default, the ticks and tick labels use the same styles as the axis:

Specify an overall style for the ticks including tick labels:

Specify ticks style for each of the axes:

Use a different style for the tick labels and tick marks:

Applications  (3)

Compare the distribution of salaries for several departments at a university:

A -test for equal location of two populations effectively checks for overlap in confidence intervals about their means. BoxWhiskerChart can be used to perform a visual -test:

The mean diamonds do not overlap. The null hypothesis is rejected at the 5% level:

The mean diamonds overlap. There is not enough evidence to reject the null hypothesis:

Compare different time slices of a random process:

Properties & Relations  (6)

Outliers and far outliers are defined using the quartiles and interquartile range:

Use DistributionChart to show distribution of data:

BoxWhiskerChart is a case of DistributionChart:

Use Histogram and SmoothHistogram to visualize a list of data vectors:

Use QuantilePlot and ProbabilityPlot to compare data to distributions:

Use Histogram3D and SmoothHistogram3D to visualize two-dimensional data vectors:

Wolfram Research (2010), BoxWhiskerChart, Wolfram Language function, https://reference.wolfram.com/language/ref/BoxWhiskerChart.html (updated 2018).

Text

Wolfram Research (2010), BoxWhiskerChart, Wolfram Language function, https://reference.wolfram.com/language/ref/BoxWhiskerChart.html (updated 2018).

CMS

Wolfram Language. 2010. "BoxWhiskerChart." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2018. https://reference.wolfram.com/language/ref/BoxWhiskerChart.html.

APA

Wolfram Language. (2010). BoxWhiskerChart. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/BoxWhiskerChart.html

BibTeX

@misc{reference.wolfram_2023_boxwhiskerchart, author="Wolfram Research", title="{BoxWhiskerChart}", year="2018", howpublished="\url{https://reference.wolfram.com/language/ref/BoxWhiskerChart.html}", note=[Accessed: 12-April-2024 ]}

BibLaTeX

@online{reference.wolfram_2023_boxwhiskerchart, organization={Wolfram Research}, title={BoxWhiskerChart}, year={2018}, url={https://reference.wolfram.com/language/ref/BoxWhiskerChart.html}, note=[Accessed: 12-April-2024 ]}