Statistics & Probability

Five-Number Summary

Min, Q1, median, Q3, and max of a data set.

Formula

Formula
{min, Q1, median, Q3, max}

Variables

SymbolDefinitionType & rangeUnitsRole
data data set (n ≥ 1) list of real numbers result

Try it yourself

Interactive calculator
comma or space separated numbers
Result

Worked examples

Example 1
Givendata = 4, 8, 15, 16, 23, 42
Result
min
4
Q1
9.75
median
15.5
Q3
21.25
max
42
Example 2
Givendata = 1, 2, 3, 4, 5, 6, 7, 8, 9
Result
min
1
Q1
3
median
5
Q3
7
max
9