# Mean Absolute Deviation (MAD) Calculator

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│
```

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.