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search  In statistics, the midhinge is the average of the first
and third quartiles and is thus a measure of location.
Equivalently, it is the 25% trimmed mid-range or 25% midsummary;
it is an L-estimator.  The midhinge is complemented by the
H-spread, or interquartile range, which is the difference of the
third and first quartiles and which is a measure of statistical
dispersion, in sense that if one knows the midhinge and the
interquartile range, one can find the first and third quartiles.
The use of the term "hinge" for the lower or upper quartiles
derives from John Tukey's work on exploratory data analysis,[1]
and "midhinge" is a fairly modern term dating from around that
time. The midhinge is slightly simpler to calculate than the
trimean, which originated in the same context and equals the
average of the median and the midhinge.  See also[edit]     1. ^
Tukey, J.W. (1977) Exploratory Data Analysis, Addison-Wesley.
ISBN 0-201-07616-0  External l