Enter your values in the *Mean Absolute Deviation (MAD) Calculator*. Each value should be separated by a comma. Example is included below.

Enter Values (each value separated by comma):

## How to use the MAD Calculator

Let's say that you'd like to derive the MAD giving the following values:

21, 12, 16, 20, 26

You can then enter those values in the MAD calculator, and then click on the '**Calculate Mean Absolute Deviation (MAD)**' button:

You'll then get the MAD of **4**:

## How to Manually Derive the MAD

You may use the following formula to derive the **MAD**:

```
Σ│xi - x̅│
MAD = n
```

Where:

- x̅ = Average of all data points
- xi = Value of each data point
- n = Total number of data points

## Calculation Example

Let's say that you want to derive the MAD for the following data points:

21, 12, 16, 20, 26

To start, let's compute the following elements:

- x̅ = (21+12+16+20+26) / 5 =
**19** - Σ │xi - x̅│ = │21-19│ + │12-19│ + │16-19│ + │20-19│ + │26-19│ =
**20** - n =
**5**

` Σ│xi - x̅│ `__20__
MAD = n = 5 = 4

You'll now get the MAD of **4**.