Represent one-variable data with dot plots, histograms, and box plots.
Create a box plot from a five-number summary
Problem
Construct the box plot encoded by five-number summary \((2,5,8,11,15)\) in minimum, \(Q_{1}\), median, \(Q_{3}\), maximum order. Give the ordered summary, box interval, median, whisker intervals, \(IQR\), and whisker lengths.
Verify that the five-number summary is in nondecreasing order before placing anything on the scale. The box runs from the first to the third quartile with the median inside, while the whiskers extend outward to the minimum and maximum; subtract endpoints to check the IQR and segment lengths.
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