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The [[Fréchet mean]] gives a manner for determining the "center" of a mass distribution on a [[Surface (mathematics)|surface]] or, more generally, [[Riemannian manifold]]. Unlike many other means, the Fréchet mean is defined on a space whose elements cannot necessarily be added together or multiplied by scalars.
It is sometimes also known as the '''Karcher mean''' (named after Hermann Karcher).
===Swanson's rule===
This is an approximation to the mean for a moderately skewed distribution.<ref name=Hurst2000>Hurst A, Brown GC, Swanson RI (2000) Swanson's 30-40-30 Rule. American Association of Petroleum Geologists Bulletin 84(12) 1883-1891</ref> It is used in hydrocarbon exploration and is defined as
: <math> m = 0.3P_{10} + 0.4P_{50} + 0.3P_{90} </math>
where ''P''<sub>10</sub>, ''P''<sub>50</sub> and ''P''<sub>90</sub> 10th, 50th and 90th percentiles of the distribution.
===Other means===
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