Our Mean Absolute Deviation (MAD) calculator helps you quickly measure the average absolute difference between each data point and the mean of a dataset. Easily understand data variability and dispersion for better statistical analysis. This free online tool is perfect for students, analysts, and researchers needing to quantify data spread.
Formula:
To calculate the Mean Absolute Deviation (MAD), follow these steps:
1. Calculate the Mean (μ): Sum all data points (xi) and divide by the total number of data points (N).
2. Find Absolute Differences: For each data point (xi), subtract the mean (μ) and take the absolute value: |xi - μ|.
3. Average Absolute Differences: Sum all the absolute differences and divide by the total number of data points (N).
The formula is:
MAD = ( Σ |xi - μ| ) / N
Where:
- xi = Each individual data point in your dataset
- μ = The mean (average) of the dataset
- | | = Denotes the absolute value
- Σ = Represents the summation (sum of all values)
- N = The total number of data points in the dataset