Modified boxplot
A modified boxplot plots outliers as separate points and draws each whisker only to the most extreme value still inside the IQR fences.
A modified boxplot is the version you normally draw, because it shows outliers instead of burying them at the end of a long whisker. You first set the fences at and , where is the first quartile and is the third quartile, taking both by the median-excluded (TI-84) rule this site uses, then mark every value beyond a fence with its own dot. Suppose and , so the IQR is 12 and the fences sit at and : a value of 61 becomes a plotted point, and the upper whisker stops at the largest value at or below 50. The box is unchanged either way, still running from to with the median marked inside it.
Where this comes up
More describing data terms, or browse the full statistics glossary.