Box Plots are a great way to see the of variability in data. They show a measure of the median, average and dispersion. They are useful when comparing two or more sets of data.
This example compares the number of damaged packages in two shifts of a company. While the medians differ (as did the averages), the data have considerable overlap and the difference in shifts probably do not account for the damages. A person looking at this plot would know that defects are probably being caused by some reason that occurs on both shifts.
http://www.introtoie.com/C05-01.html
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