Interquartile Range
Free Interquartile Range calculator with clear step-by-step results.
About Interquartile Range
The interquartile range is the middle 50% spread of the data.
Formula
Formula
IQR = Q3 − Q1
Worked example
With the default values below, Interquartile Range returns Interquartile Range of 8.00. Change any input above and every figure here is recalculated in your browser.
Inputs used
- Q1
- 4
- Q3
- 12
Results
- Interquartile Range
- 8.00
- Full Range
- 8.00
- Q3
- 12.00
Step by step
- 1Values used
- 2Formula
- 3Interquartile Range= 8.00
- 4Full Range= 8.00
- 5Q3= 12.00
Assumptions and limits
- The result is derived only from the 2 inputs listed above. Anything not among them is not part of the calculation.
- In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
- Figures are rounded for display to 2 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.
How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.
Frequently Asked Questions
How does this calculator work?
The interquartile range is the middle 50% spread of the data.
Why does this matter?
Robust to outliers compared with the full range.