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What is the interquartile range?

Theresa Perry

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Melissa Norris on May 18, 2019

As the standard deviation, the interquartile range (IQR) is a descriptive statistic used to summarize the extent of the spread of your data. The IQR is the distance between the 1st quartile (25th percentile) and 3rd quartile (75th percentile). Q3 - Q1 = IQR To find these numbers you must divide your data set in half, and find the midpoint of each half and that will be your Q1 and Q3. If you have an odd number, then EXCLUDE the median of the entire set, as well as in the following way: take, For example, the following set of data: 3 5 7 8 9 21 40 90 120 are excluded from the 9 to the average of the whole set and the 1st quartile is 6 (5+7 divided by 2) and the 3rd quartile is 65 (40+90 divided by 2), making the IQR = 65-6=59. Or If you have this set: 3 5 7 8 40 90 120 we exclude the 8 to the average of the whole set and the 1st quartile is 5 and the 3rd quartile is 90. (90 - 5 = 85.)


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