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Difference between revisions of "Decile"

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A value of <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/d/d030/d030400/d0304001.png" /> at which a distribution function <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/d/d030/d030400/d0304002.png" /> assumes values equal to <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/d/d030/d030400/d0304003.png" /> for <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/d/d030/d030400/d0304004.png" />. If deciles exist, they give a fair idea about the shape of the distribution curve. The distance between the ninth and the first decile is called the inter-decile width, which gives an idea of the scatter of the distribution. A decile is a special case of a [[Quantile|quantile]].
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A value of $x$ at which a distribution function $F$ assumes values equal to $j/10$ for $j=1,\ldots,9$. If deciles exist, they give a fair idea about the shape of the distribution curve. The distance between the ninth and the first decile is called the inter-decile width, which gives an idea of the scatter of the distribution. A decile is a special case of a [[Quantile|quantile]].

Latest revision as of 09:20, 12 April 2014

A value of $x$ at which a distribution function $F$ assumes values equal to $j/10$ for $j=1,\ldots,9$. If deciles exist, they give a fair idea about the shape of the distribution curve. The distance between the ninth and the first decile is called the inter-decile width, which gives an idea of the scatter of the distribution. A decile is a special case of a quantile.

How to Cite This Entry:
Decile. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Decile&oldid=31605
This article was adapted from an original article by N.M. Khalfina (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article