Editing Interquartile range (section)

==Use==
Unlike total [[range (statistics)|range]], the interquartile range has a [[breakdown point]] of 25%<ref>{{cite news |title=Explicit Scale Estimators with High Breakdown Point |first1=Peter J. |last1=Rousseeuw |first2=Christophe |last2=Croux |work=L1-Statistical Analysis and Related Methods |editor=Y. Dodge |location=Amsterdam |publisher=North-Holland |year=1992 |pages=77–92 |url=https://feb.kuleuven.be/public/u0017833/PDF-FILES/l11992.pdf}}</ref> and is thus often preferred to the total range.

The IQR is used to build [[box plot]]s, simple graphical representations of a [[probability distribution]].

The IQR is used in businesses as a marker for their [[income]] rates.

For a symmetric distribution (where the median equals the [[midhinge]], the average of the first and third quartiles), half the IQR equals the [[median absolute deviation]] (MAD).

The [[median]] is the corresponding measure of [[central tendency]].

The IQR can be used to identify [[outlier]]s (see [[#Outliers|below]]). The IQR also may indicate the [[skewness]] of the dataset.<ref name=":1"/>

{{Anchor|Quartile deviation}} The quartile deviation or semi-interquartile range is defined as half the IQR.<ref name="Yule">{{cite book |first=G. Udny |last=Yule |title=An Introduction to the Theory of Statistics |url=https://archive.org/details/in.ernet.dli.2015.223539 |publisher=Charles Griffin and Company |date=1911 |pages=[https://archive.org/details/in.ernet.dli.2015.223539/page/n170 147]–148}}</ref>