# Order statistic

In

statistics, the

*n*th

**order statistic** for a sample is equal to the

*n*th-smallest sample value.

For example, if the sample values are

- 6, 9, 3, 8

then the

**second order statistic** is

*X*_{(2)} = 6

The

**first order statistic** (or

*smallest order statistic*) is always the

*minimum* of the sample. For a sample of size

*n*, the

** ***n*th order statistic (or

*largest order statistic*) is the

*maximum*.

*Contrast with ranked data (name??)....*

*Contrast with quantiles....*

*Distributional properties, etc....*

See also: