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Is it possible to find the mean or center of a continuous arbitrary distribution. Assuming that an object O is arbitrarily distributed within arbitrary shape, can we find its mean or center geometrically or by any other method if the distribution is not known in advance.

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    Can we find the center of some random thing we know nothing about? Err... I don't think continuity is enough here.2012-04-27
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    Can mean of an arbitrary object lies at the boundary of that object?2012-04-27
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    Some distributions don't have means. For example, the Cauchy distribution whose density is $(1/\pi)/(1+x^2)$.2012-04-27
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    @shaikh: Yes. For example, the center of mass of a line segment lies on its boundary.2012-11-28

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