Definition:Quantile/Discrete

Definition

Let $S$ be a finite set of ordinal data.

When defining a set of $q$-quantiles on $S$, there may well be no unique class boundary in $S$ which fit the definition of quantile as given here.

This difficulty may be overcome by making appropriate modifications.

Also see

• Definition:Median (Statistics)

• Results about quantiles can be found here.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): quantiles
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): quantiles