https://wikimd.com/index.php?action=history&feed=atom&title=Interquartile_rangeInterquartile range - Revision history2026-04-04T12:40:49ZRevision history for this page on the wikiMediaWiki 1.44.2https://wikimd.com/index.php?title=Interquartile_range&diff=6310237&oldid=prevPrab: CSV import2025-02-18T01:04:07Z<p>CSV import</p>
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<p><b>New page</b></p><div>'''Interquartile range''' ('''IQR''') is a measure of statistical dispersion, being equal to the difference between the upper and lower quartiles, [[Q3]] and [[Q1]]. The IQR is the first quartile subtracted from the third quartile; these quartiles can be clearly seen on a [[box plot]] on the data.<br />
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==Definition==<br />
The '''interquartile range''' is a measure of where the “middle fifty” is in a data set. Where a range is a measure of where the values lie, the interquartile range is a measure of where the central values lie. The IQR is used in [[statistics]] to identify outliers.<br />
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==Calculation==<br />
To calculate the interquartile range:<br />
# Order the data from least to greatest<br />
# Find the median<br />
# Construct a list of the lower half of the data (not including the median if the data set is odd)<br />
# Find the median of this lower half. This is the first quartile, Q1.<br />
# Construct a list of the upper half of the data (not including the median if the data set is odd)<br />
# Find the median of this upper half. This is the third quartile, Q3.<br />
# Subtract Q1 from Q3 to find the interquartile range.<br />
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==Applications==<br />
The interquartile range is often used in conjunction with other statistical tools, such as the [[box plot]], to provide a graphical representation of statistical dispersion in a set of data. It is also used in [[statistical analysis]] to identify and manage outliers, as it is less sensitive to extreme values than other measures of dispersion.<br />
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==See also==<br />
* [[Quartile]]<br />
* [[Median]]<br />
* [[Range (statistics)]]<br />
* [[Box plot]]<br />
* [[Outlier]]<br />
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[[Category:Statistical dispersion]]<br />
[[Category:Summary statistics]]<br />
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