Represent one-variable data with dot plots, histograms, and box plots.
Create a box plot summary from raw data
Problem
Construct a box plot for ordered data \({2,4,6,8,10}\) using the median-of-halves convention, excluding the overall median from both halves because \(n\) is odd. Give the halves, \(\text{five}\)-number summary, \(IQR\), and box-plot features.
Order the raw data first, find the overall median, and follow the declared quartile convention when forming the lower and upper halves. Those five summary positions determine the entire display: quartiles bound the box, the median marks its interior, and the extrema become whisker endpoints.
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