Measure the spread of the middle 50% of your data, ignoring extreme outliers.
Input Dataset
Enter numbers separated by commas or spaces.
Statistical Analysis
Interquartile Range (IQR)8.00
Q1 (25th Percentile)12.00
Q3 (75th Percentile)20.00
Data Points7
Full Range15.00
Overview
The Interquartile Range (IQR) is a measure of statistical dispersion, being equal to the difference between 75th and 25th percentiles. It is the 'width of the box' in a box plot and is more robust than the standard range.
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Pro Tips
At least 4 data points are required for a meaningful IQR calculation.
Use the IQR to compare the variability of different datasets.
The IQR ignores the tails of the distribution, focusing on the core data.
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Fun Facts
"The IQR is often used to identify outliers through the 1.5 × IQR rule."
"Unlike the variance or standard deviation, the IQR is resistant to extreme values."
"In a box plot, the IQR represents the middle 50% of all observations."
