Mean Absolute Deviation Calculator (MAD Calculator)
Input Numbers
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Absolute Deviations
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The Mean Absolute Deviation (MAD) Calculator measures data dispersion by calculating average absolute differences from the mean. This statistical tool helps analyze variability in datasets for research, quality control, and business analytics. Simple interface with visual chart output.
Mean Absolute Deviation Calculator: Complete Guide
What Is Mean Absolute Deviation?
Mean Absolute Deviation is a robust measure of variability that shows how spread out values are from their average. Unlike standard deviation, MAD isn’t influenced by extreme values, making it ideal for datasets with outliers.
The MAD Formula
Where:
- xᵢ = Each data point
- mean = Average of all values
- n = Number of data points
- | | = Absolute value
How to Use This Calculator
- Enter numbers (comma separated) in the input field
- View automatic calculations of:
- Dataset mean (average)
- Individual absolute deviations
- Final MAD value
- Analyze the visual chart comparing original values to deviations
- Modify inputs anytime for instant recalculations
Key Features
✔ Real-time calculations
✔ Interactive data visualization
✔ Mobile-responsive design
✔ Detailed breakdown of each step
✔ Academic and professional grade accuracy
Frequently Asked Questions (FAQs)
Q: When should I use MAD instead of standard deviation?
A: Use MAD when your data contains outliers or needs a more intuitive dispersion measure.
Q: Can I calculate MAD for negative numbers?
A: Yes, the absolute value conversion handles all real numbers properly.
Q: What does a MAD of 0 indicate?
A: A MAD of 0 means all values in your dataset are identical (no variation).
Q: How many decimal places should I use?
A: The calculator shows 2 decimal places by default, matching common statistical practices.
Terminology Explained
Absolute Deviation
The absolute difference between a data point and the mean of the dataset.
Measure of Dispersion
A statistical indicator of how stretched or squeezed a distribution is.
Robust Statistic
A metric that isn’t unduly influenced by outliers or non-normal distributions.
Data Variability
The extent to which data points differ from each other and from their mean.