What Are the Formulas for the Upper and Lower Quantiles?


Quick Answer

The general formula for the upper quartile is Q3 = 3 / 4 (n + 1), where "Q3" denotes the upper quartile and "n" indicates the total number of values in a sample set, while the formula for the lower quartile is Q1 = 1 / 4 (n + 1), where "Q1" represents the lower quartile. The upper and lower quartiles are measures in statistics.

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Full Answer

In a sample population containing a set of data values sorted in increasing order, a "median" refers to the middle value. The upper quartile is the median of the upper half, while the lower quartile is the median of the lower half of the set. By subtracting the lower quartile from the upper quartile, the interquartile range is calculated.

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