I thought this was an interesting question, so I decided to ask myself a similar question: Given a set of data, can you draw the box plot and augment the box plot with a description of the important statistics and outliers for that data? In other words, can you solve the OP's problem in a data-driven way?
My thoughts on the matter and some SAS code for how to create this image for any data set are available in the article
"Annotate features of a schematic box plot in SGPLOT."
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