Quartile Coefficient of Dispersion Calculator
Quartile Coefficient of Dispersion is intended for the specific statistics task described by its name. Enter first quartile, third quartile to calculate a result expressed in %. The formula works entirely in your browser and needs no account or external API. Use quartiles calculated consistently from the same dataset. This estimate is useful for comparing scenarios when the supplied measurements follow the stated assumptions.
How to use this calculator
- Measure first quartile in the units indicated on the input label.
- Enter Third quartile.
- Read the % result, then compare alternative inputs to evaluate your own situation.
Quartile Coefficient of Dispersion formula
100*(q3-q1)/(q3+q1) (%).
- The expression 100*(q3-q1)/(q3+q1) combines First quartile, Third quartile. Follow the units on each input: the answer is expressed in %.
- Use quartiles calculated consistently from the same dataset.
Worked examples
Worked example: Quartile Coefficient of Dispersion
Use these sample measurements: First quartile = 20, Third quartile = 55.
Compute 100*(q3-q1)/(q3+q1).
Using the example inputs, the result is 46.66667 %. Use this value to verify the formula before changing the measurements.
Understanding the result
Interpret the output as %; it is not a measurement taken directly from a physical system.
Use quartiles calculated consistently from the same dataset.
Important notes
Use quartiles calculated consistently from the same dataset.
Review the input units, any required legal or engineering rules, and unusual edge cases before acting on this estimate.
Frequently asked questions
What does Quartile Coefficient of Dispersion calculate?
It evaluates 100*(q3-q1)/(q3+q1) to produce % from the measurements you enter. For the example values shown, the result is 46.66667 %.
Which assumptions matter most?
Use quartiles calculated consistently from the same dataset.
Can I compare two scenarios?
Yes. Enter another set of measurements in the same units and compare the two outputs.
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This page provides a calculation tool plus explanatory information so you can understand what the result means and when the underlying method may not fit your situation.