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Interquartile range

Interquartile range is used with skewed distributions and non-parametric statistics

Interquartile range is primarily used in tandem with median values to provide descriptive statistics for non-parametric tests and distributions that are skewed. Interquartile range constitutes the middle 50% of a distribution at 25% and 75%. Medians and interquartile ranges (IQR) are reported for between-subjects non-parametric statistics like the Mann-Whitney U test and the Kruskal-Wallis test. The p-values yielded from these types of statistical analyses are always interpreted within the context of their respective medians and interquartile ranges.

The steps for calculating interquartile range in SPSS

1. The data is entered into a column of a database.

2. Click Analyze.

3. Drag the cursor over the Descriptive Statistics drop-down menu.

4. Click on Explore.

5. Click on the outcome or variable to highlight it.

6. Click on the arrow to move the outcome or variable into the Dependent List: box.

7. Under the Display table, click on the marker for Sta​tistics to select it.


8. Click OK. 

The steps for interpreting the interquartile range in SPSS

1. In the Descriptives table, look for the Interquartile row. This is the interquartile range value that is interpreted.

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