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Box-and-whisker Plot

Illustration

Illustration

Alternate names

box-and-whisker chart | box plot | whisker plot

Basic definition

A box-and-whiskers plot is a histogram-like method of displaying data.

Detailed definition

A box-and-whisker plot (sometimes called simply a box plot) is a histogram-like method of displaying data, invented by J. Tukey. To create a box-and-whisker plot, draw a box with ends at the quartiles Q_1 and Q_3. Draw the statistical median M as a horizontal line in the box. Now extend the "whiskers" to the farthest points that are not outliers (i.e., that are within 3/2 times the interquartile range of Q_1 and Q_3). Then, for every point more than 3/2 times the interquartile range from the end of a box, draw a dot. If two dots have the same value, draw them side by side. Box-and-whisker plots are implemented in the Wolfram Language as BoxWhiskerChart[data].

Related terms

dot plot | hinge | histogram | interquartile range | quartile | statistical median

Related Wolfram Language symbol

BoxWhiskerChart

Educational grade level

high school level (AP statistics, California probability and statistics standard)

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