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===Dataset size divisible by four=== The method is best explained with an example. Consider the following dataset: :5, 8, 4, 38, 8, 6, 9, 7, 7, 3, 1, 6 First sort the list from lowest-to-highest: :1, 3, 4, 5, 6, 6, 7, 7, 8, 8, 9, 38 There are 12 observations (datapoints) in the dataset, thus we have 4 quartiles of 3 numbers. Discard the lowest and the highest 3 values: :<s>1, 3, 4</s>, 5, 6, 6, 7, 7, 8, <s>8, 9, 38</s> We now have 6 of the 12 observations remaining; next, we calculate the arithmetic [[mean]] of these numbers: :''x''<sub>IQM</sub> = (5 + 6 + 6 + 7 + 7 + 8) / 6 = 6.5 This is the interquartile mean. For comparison, the arithmetic mean of the original dataset is :(5 + 8 + 4 + 38 + 8 + 6 + 9 + 7 + 7 + 3 + 1 + 6) / 12 = 8.5 due to the strong influence of the outlier, 38.
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