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One of the four divisions of observations which have been grouped into four equal-sized sets based on their
Rank.  The quartile including the top Ranked members is
called the first quartile and denoted 
.  The other quartiles are similarly denoted 
, 
, and 
.  For
 data points with 
 of the form 
 (for 
, 1, ...), the Hinges are identical to the first
and third quartiles.
See also Hinge, Interquartile Range, Quartile Deviation, Quartile Variation Coefficient