Statistics and Data
Mean Absolute Deviation Calculator
Mean Absolute Deviation Calculator calculate arithmetic mean, median, mean absolute deviation about either center, and the full absolute-deviation list.
Statistics and Data
Mean Absolute Deviation Calculator
Calculate arithmetic mean, median, mean absolute deviation about either center, and the full absolute-deviation list.
Formula
MAD about center = sum(|x_i - center|) / n.
About the Mean Absolute Deviation Calculator
Calculate arithmetic mean, median, mean absolute deviation about either center, and the full absolute-deviation list.
How the Mean Absolute Deviation Calculator Works
Numeric observations are sorted for the median, averaged for the mean, and compared with the selected center before absolute deviations are averaged over all observations.
Formula
MAD about center = sum(|x_i - center|) / n.
The calculation runs in your browser. Values are validated for required ranges, compatible units, and method-specific restrictions before results are displayed.
Required Inputs
- Numeric observations (required).
- Deviation center (required).
Results Reported
The result panel reports the final answer and the intermediate quantities needed to check the calculation:
- Selected center
- Mean absolute deviation
- Arithmetic mean
- Median
- Absolute deviations
- Observation count
Mean Absolute Deviation Calculator Example
Select Example Data in the calculator to load this reproducible input set:
| Input | Example value |
|---|---|
| Numeric observations | 2, 4, 7, 7, 10 |
| Deviation center | mean |
How to Use the Calculator
- Confirm that the calculator title and formula match the quantity you need.
- Enter every required value using the unit shown with its field.
- Select Example Data to inspect a valid input set, or enter your own values and select Calculate.
- Review all reported values and the displayed formula before using the answer.
- Use Copy Result or Download CSV when you need a reusable record.
Accuracy and Limitations
This is mean absolute deviation, not median absolute deviation and not mean absolute percentage error. Choose the center definition required by the analysis.
Keep units consistent, use measurements that represent the actual situation, retain full precision during the calculation, and round only the final answer. Professional decisions may require current official rules, field measurements, laboratory methods, or specialist review.
Frequently Asked Questions
What does the Mean Absolute Deviation Calculator calculate?
Calculate arithmetic mean, median, mean absolute deviation about either center, and the full absolute-deviation list.
Which formula does the Mean Absolute Deviation Calculator use?
MAD about center = sum(|x_i - center|) / n. Numeric observations are sorted for the median, averaged for the mean, and compared with the selected center before absolute deviations are averaged over all observations.
What should I check before using the Mean Absolute Deviation Calculator result?
This is mean absolute deviation, not median absolute deviation and not mean absolute percentage error. Choose the center definition required by the analysis.