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<div>In [[statistics]], the '''quartile coefficient of dispersion''' is a descriptive statistic which measures [[Statistical dispersion|dispersion]] and which is used to make comparisons within and between data sets. <br />
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The statistic is easily computed using the first (''Q''<sub>1</sub>) and third (''Q''<sub>3</sub>) [[quartile]]s for each data set. The quartile coefficient of dispersion is:<ref>{{cite doi|10.1016/j.csda.2005.05.007}}</ref><br />
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: <math>{Q_3 - Q_1 \over Q_3 + Q_1}.</math><br />
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Consider the following two data sets:<br />
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: Data set A: 2, 4, 6, 8, 10, 12, 14.<br />
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:: ''n'' = 7, range = 12, mean = 8, median = 8, ''Q''<sub>1</sub> = 4, ''Q''<sub>3</sub> = 12<br />
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:: coefficient of dispersion = 0.5<br />
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: Data set B: 1.8, 2, 2.1, 2.4, 2.6, 2.9, 3<br />
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:: ''n'' = 7, range = 1.2, mean = 2.4, median = 2.4, ''Q''<sub>1</sub> = 2, ''Q''<sub>3</sub> = 2.9<br />
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:: coefficient of dispersion = 0.18<br />
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The quartile coefficient of dispersion of data set A is 2.7 times as great (0.5 / 0.18) as that of data set B. <br />
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==References==<br />
{{reflist}}<br />
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{{DEFAULTSORT:Quartile Coefficient Of Dispersion}}<br />
[[Category:Statistical deviation and dispersion]]<br />
[[Category:Statistical ratios]]<br />
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{{statistics-stub}}</div>94.174.144.61