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A quartile deviation from some specified value, is the value or values such that a quarter of the observed values fall between these values and the specified value.

Usually, but not always, the specified value is the median - the value such that have the observed values are below (and above) it. In that case, one quartile values will have a quarter of the values below it and the other will have a quarter of the values above it. The quartile deviations will be the differences between median and the two quartiles just calculated.

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Q: What is the measure of quartile deviation?
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