The trimean is defined to be
 |
where 
are the hinges
and 
is the statistical
median. Press et al. (1992) call this Tukey's trimean. It is an L-estimate.
Trimean
See also
Hinge, L-Estimate, Mean, Statistical MedianExplore with Wolfram|Alpha
References
Press, W. H.; Flannery, B. P.; Teukolsky, S. A.; and Vetterling, W. T. Numerical Recipes in FORTRAN: The Art of Scientific Computing, 2nd ed. Cambridge, England: Cambridge University Press, p. 694, 1992.Tukey, J. W. Exploratory Data Analysis. Reading, MA: Addison-Wesley, pp. 46-47, 1977.Referenced on Wolfram|Alpha
TrimeanCite this as:
Weisstein, Eric W. "Trimean." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Trimean.html