Mean Absolute Deviation Calculator
Expert Guide to Mean Absolute Deviation
Introduction & Importance
Mean Absolute Deviation (MAD) is a measure of statistical dispersion, similar to standard deviation but more robust to outliers. It’s crucial in understanding data variability…
How to Use This Calculator
- Enter comma-separated data.
- Choose the method (sample or population).
- Click ‘Calculate’.
Formula & Methodology
The formula for MAD is: MAD = (1/n) * ∑|xi – μ|, where xi are data points, μ is the mean, and n is the number of data points.
Real-World Examples
Example 1: Salary Data
Data: 30000, 35000, 40000, 45000, 50000
MAD: 5000
Example 2: Test Scores
Data: 85, 88, 92, 80, 89
MAD: 3.2
Data & Statistics
| Data Set 1 | Data Set 2 | |
|---|---|---|
| Mean | 40000 | 85 |
| Standard Deviation | 5000 | 3.2 |
| Mean Absolute Deviation | 5000 | 3.2 |
Expert Tips
- MAD is less affected by outliers than standard deviation.
- It’s useful when data is not normally distributed.
Interactive FAQ
What’s the difference between MAD and standard deviation?
MAD is less affected by outliers and is more robust to non-normal distributions.
Can MAD be negative?
No, MAD is always non-negative.