Mean Absolute Deviation Calculator
Find the average absolute distance of observations from their arithmetic mean.
Result for the values shown.
Calculations run in your browser.
What to enter
| Input | Meaning and units |
|---|---|
| Numbers | Separate values with commas, spaces or line breaks. Use dots for decimals; at most 10,000 values. |
Understanding your result
These are descriptive results for the observations you entered, not proof of causation, significance or a particular population distribution.
Common mistakes
- Confusing a descriptive statistic with a population inference or ignoring repeated values.
Check your calculation
- Try a small hand-checkable list; confirm the stated quartile/rank/denominator convention before comparing with another application.
Calculation checks, sources and review limits
What is the average absolute distance from the mean?
Find the average absolute distance of observations from their arithmetic mean.
Common uses
- Find the average absolute distance of observations from their arithmetic mean.
How it works
mean(abs(x-mean(x))) Lists accept commas, semicolons, spaces or line breaks as separators; use a dot for decimals. At most 10,000 observations are supported. Calculations use floating-point arithmetic; displayed numeric results have up to 12 significant digits.
Worked example
Enter Numbers: 1, 2, 3. The result is Deviation: 0.6666666666666666.
FAQ
What is the average absolute distance from the mean?
mean(abs(x-mean(x))) Lists accept commas, semicolons, spaces or line breaks as separators; use a dot for decimals. At most 10,000 observations are supported. Calculations use floating-point arithmetic; displayed numeric results have up to 12 significant digits.
What assumptions and limits apply?
About arithmetic mean, unlike median absolute deviation.