Five-number summary

The five-number summary reports a data set's minimum, first quartile, median, third quartile, and maximum.

The five-number summary captures the center and spread of a distribution with five ordered values: minimum, Q1Q_1 (the first quartile), median, Q3Q_3 (the third quartile), and maximum. For example, the summary 2, 5, 8, 12, 20 says the data run from 2 to 20 with a median of 8. These five numbers are exactly what a boxplot draws, and the gap Q3Q1Q_3 - Q_1 gives the interquartile range. Together they describe spread without assuming any particular distribution shape.

More describing data terms, or browse the full statistics glossary.