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Five-number summary
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==Use and representation== The five-number summary provides a concise summary of the [[Probability distribution|distribution]] of the observations. Reporting five numbers avoids the need to decide on the most appropriate summary statistic. The five-number summary gives information about the location (from the median), spread (from the quartiles) and range (from the sample minimum and maximum) of the observations. Since it reports [[order statistic]]s (rather than, say, the mean) the five-number summary is appropriate for [[Level of measurement#Ordinal scale|ordinal measurements]], as well as interval and ratio measurements. It is possible to quickly compare several sets of observations by comparing their five-number summaries, which can be represented graphically using a [[boxplot]]. In addition to the points themselves, many [[L-estimator]]s can be computed from the five-number summary, including [[interquartile range]], [[midhinge]], [[range (statistics)|range]], [[mid-range]], and [[trimean]]. The five-number summary is sometimes represented as in the following table: {| class="wikitable" style="margin-right:auto; margin-left:auto;border:none;" | colspan=2 style="text-align:center;" | median |- |1st quartile || 3rd quartile |- |Minimum || Maximum |}
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