Median Absolute Deviation Calculator

Grasping the dispersion of your data can uncover patterns, identify anomalies, and enhance statistical precision. Our Median Absolute Deviation Calculator quickly determines the Median Absolute Deviation value, assisting students, analysts, and researchers in better understanding their datasets effortlessly.

What is the Median Absolute Deviation?

The Median Absolute Deviation is a robust measure of variability that shows how far each data point is from the median. Unlike standard deviation, which is sensitive to extreme values, Median Absolute Deviation provides a stable and reliable measure even when your dataset contains outliers.

In simple terms:
Median Absolute Deviation tells you how much, on average, each value deviates from the median of your dataset.

Formula for Median Absolute Deviation

$$\text{Median Absolute Deviation =}\text{Median}\left(\right|x_i-\text{Median}\left(x\right)\left|\right)$$

Where:

𝑥_i = Each data point in the dataset

Median(x) = The median of all data values

∣𝑥_𝑖 − Median(𝑥)∣ = Absolute deviation from the median

$$\text{Scaled Median Absolute Deviation =}1.4826\times \text{Median}\left(\right|x_i-\text{Median}\left(x\right)\left|\right)$$

How to Find the Median Absolute Deviation Using Our Calculator?

• Enter the four values in the required field..
• Click “Calculate” and the tool automatically computes the Median Absolute Deviation.