Modedian

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The modedian is a statistical concept used to represent the arithmetic mean of three common averages: Mode (statistics), Median (statistics), and the arithmetic Mean. This 'average' of averages, accounts for skew caused by nonuniform datasets.

Modedian

Main article: Modedian

${\text{Modedian}}={\frac {Mode+Median+Mean}{3}}$

Origin

The modedian was first described in the early 18th century by Mongolian astronomer Minggatu and coined by Jesuit priests shortly thereafter as "médidyane". The concept was originally used in Mongolian cosmogony to categorize stars by albedo on a 4 point scale. In modern statistics, the modedian has fallen out of usage, having little descriptive value outside of some selected cases.

Example

${\text{Modedian}}({2,1,5,8,2,1,7,1,9})={\frac {1+2+4}{3}}=1.75$

See also

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• Mode (statistics)
• Median (statistics)
• Mean

Original draft

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