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Midrange

Given order statistics Y_1=min_(j)X_j, Y_2, ..., Y_(N-1), Y_N=max_(j)X_j with sample size N, the midrange of the random sample is defined by

MR=1/2(Y_1+Y_N)

(Hogg and Craig 1995, p. 152).

See also

Maximum, Mean, Minimum, Order Statistic, Statistical Median

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References

Hogg, R. V. and Craig, A. T. Introduction to Mathematical Statistics, 5th ed. New York: Macmillan, 1995.Zwillinger, D. (Ed.). CRC Standard Mathematical Tables and Formulae. Boca Raton, FL: CRC Press, p. 602, 1995.

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Midrange

Cite this as:

Weisstein, Eric W. "Midrange." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Midrange.html

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