Math Calculators

Interquartile Range Calculator

Calculate interquartile range accurately with clear inputs, formulas, and supporting results.

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Interquartile Range

Interquartile Range Calculator

Interquartile range
First quartile
Third quartile
Median
Results are estimates for informational purposes. Verify critical calculations and project requirements independently.

Calculator Inputs and Outputs

Inputs

  • Numbers — example: 4, 7, 9, 10, 12, 15, 18, 21

Results

  • Interquartile range
  • First quartile
  • Third quartile
  • Median

Formula used

IQR = Q3 − Q1 using the median-of-halves method.

How to Use the Interquartile Range Calculator

Enter the requested values, confirm the units and assumptions, then select Calculate Interquartile Range. The default inputs provide a working example, and the supporting outputs make the result easier to check.

Formula

IQR = Q3 − Q1 using the median-of-halves method.

Understanding the Results

The primary answer appears first, followed by related values, conversions, or comparisons. Calculations retain additional internal precision before the displayed result is rounded.

Accuracy Tips

  • Use consistent units and measured values.
  • Review whether the formula assumptions match your situation.
  • For estimates, include realistic waste, efficiency, fees, or contingency values where available.

Important Note

This calculator is for informational estimation. Verify critical financial, health, construction, scientific, tax, legal, or safety decisions with an appropriately qualified professional.

Calculation Standards

This tool uses documented formulas and high-precision internal values. Displayed results may be rounded for readability. Review the assumptions and verify important decisions with a qualified professional.

Read our calculation methodology