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Re: "The median may not be more than one standard deviation away from the mean"

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> the median may not be more than one standard deviation away from the mean.

    An oldie but a goodie.
    My prob&stats textbook [1] shows more: a random variable is more
    than X standard deviations above the mean at most 1/(1+X*X) of the
    time. This inequality is similar to the Bienayme-Chebyshev
    inequality; maybe they knew it, too.

    [1] Olkin, Gleser, Derman, "Probability Models and Applications",
        p157. Macmillan, 1980. ISBN 0-02-389230-7.

-- 
Don Reble  djr@nk.ca

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"The median may not be more than one standard deviation away from the mean" Paul N <gw7rib@aol.com> - 2016-10-17 14:16 -0700
  Re: "The median may not be more than one standard deviation away from the mean" Don Reble <djr@nk.ca> - 2016-10-17 17:39 -0600
  Re: "The median may not be more than one standard deviation away from the mean" Richard Heathfield <rjh@cpax.org.uk> - 2016-10-18 00:55 +0100
  Re: "The median may not be more than one standard deviation away from the mean" root <NoEMail@home.org> - 2016-10-18 16:43 +0000

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