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==Algorithm== The IQR of a set of values is calculated as the difference between the upper and lower quartiles, Q<sub>3</sub> and Q<sub>1</sub>. Each quartile is a median<ref name=":0">{{Cite book|title=Beta [beta] mathematics handbook : concepts, theorems, methods, algorithms, formulas, graphs, tables|last=Bertil.|first=Westergren|date=1988|publisher=[[Studentlitteratur]]|isbn=9144250517|oclc=18454776|page=348}}</ref> calculated as follows. Given an even ''2n'' or odd ''2n+1'' number of values :''first quartile Q<sub>1</sub>'' = median of the ''n'' smallest values :''third quartile Q<sub>3</sub>'' = median of the ''n'' largest values<ref name=":0" /> The ''second quartile Q<sub>2</sub>'' is the same as the ordinary median.<ref name=":0" />
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