Definition:Decile

Definition

Let $D$ be a finite collection of data regarding some quantitative variable.

Let $D$ be divided into precisely $10$ class intervals.

A $P$th decile is a value in the interval defined by the $P$th class interval such that:

$\dfrac P {10}$ of the data in $D$ fall at or below the value chosen

$1 - \dfrac P {10}$ of the data in $D$ fall at or above the value chosen.

Arbitrarily more precise definitions may be contrived as necessary to define a unique decile for a given study.

Also see

• Definition:Median (Statistics)
• Definition:Quartile
• Definition:Percentile

• Definition:Quantile

• Results about deciles can be found here.

Sources

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