Mean Absolute Deviation Calculator
Calculate the mean absolute deviation (MAD) of a data set around its mean.
Enter your data set. Invalid values will be ignored.
Mean Absolute Deviation (MAD)
Mean (x̄)
Count (n)
Calculation Steps
What Mean Absolute Deviation Measures
Mean absolute deviation (MAD) measures the average distance between each data point and the mean of the data set. Unlike variance, which squares the deviations, MAD uses the absolute value of each deviation, giving a measure of spread expressed in the same units as the original data. A small MAD indicates the data points cluster close to the mean, while a large MAD indicates they are spread out.
How to Calculate MAD
- Find the mean (average) of the data set.
- Subtract the mean from each value and take the absolute value.
- Add up all the absolute deviations.
- Divide the sum by the number of values (n).
Formula
MAD = Σ|xᵢ − x̄| / n