Trimean

The trimean is defined to be

$${\it TM}\equiv {\textstyle{1\over 4}}(H_1+2M+H_2),$$

where $H_i$ are the Hinges and $M$ is the Median. Press et al. (1992) call this Tukey's Trimean. It is an L-Estimate.

See also Hinge, L-Estimate, Mean, Median (Statistics)

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. Explanatory Data Analysis. Reading, MA: Addison-Wesley, pp. 46-47, 1977.