![]() ![]() "Box-and-Whisker Plot."įrom MathWorld-A Wolfram Web Resource. On Wolfram|Alpha Box-and-Whisker Plot Cite this as: "Box-and-Whisker Plots." §2C in Exploratoryĭata Analysis. "Box Plot." §1.3.3.7 in NIST/ SEMATECH e-Handbook of Statistical Values" (values closest to but still inside the inner fences). Separately and whiskers are dashed, ending with dashed crossbars at " adjacent Tukey also considered an additional variation in which the outliers are indicated Values and identifying the outliers with explicit labels (Tukey 1977, p. 41). Strip at the minimum, as illustrated above (left figure Tukey 1977, p. 40).Ī variation extended the whiskers only out to some arbitrary minimum and maximum A box plot is a type of plot that displays the five number summary of a dataset, which includes: The minimum value The first quartile (the 25th percentile) The median value The third quartile (the 75th percentile) The maximum value To make a box plot, we draw a box from the first to the third quartile. In addition, Tukey's originalįormulation lacked horizontal crossbars, extended the whiskers all the way to theĮxtreme data points, and drew an unfilled dot at the maximum and a hatched horizontal In Tukey's original definition, the closely-related and lesser known hinges and were used instead of and (Tukey 1977, p. 39). Box-and-whisker plots areĪ number of other slightly different conventions are sometimes used. Them side by side (Gonick and Smith 1993, p. 21). Then, for every point more than 3/2 times the interquartile Points that are not outliers (i.e., that are within 3/2 times the interquartile Now extend the "whiskers" to the farthest Draw the statisticalĪs a horizontal line in the box. Plot, draw a box with ends at the quartiles and. A box-and-whisker plot (sometimes called simply a box plot) is a histogram-like method of displaying data, invented by J. Tukey.
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