Hinge
The upper and lower hinges are descriptive statistics of a set of 
data values, where is of the form 
with
, 1, 2, .... The hinges are obtained by ordering the data in increasing order 
, ..., 
, and writing them outin the shape of a ``w'' as illustrated above. The values at the bottom legs are called the hinges 
and 
(and thecentral peak is the Median). In this ordering,
 |  |  | |
 | |  | |
 | |  |
For
of the form 
, the hinges are identical to the Quartiles. The difference 
is called the H-Spread.See also H-Spread, Haberdasher's Problem, Median (Statistics), Order Statistic,Quartile, Trimean
References
Tukey, J. W. Explanatory Data Analysis. Reading, MA: Addison-Wesley, pp. 32-34, 1977.
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