# Median Absolute Deviation in R (Example) | mad Function Explained

In this article, I’ll explain how to **compute the median absolute deviation** in the R programming language.

The tutorial is mainly relying on the mad R function. The basic R syntax and the definition of the mad function are as follows:

**Basic R Syntax of mad:**

mad(x) |

mad(x)

**Definition of mad:**

The mad R function computes the median absolute deviation, i.e. the (lo-/hi-) median of the absolute deviations from the median.

In the following, I’ll show you an **example code** for the computation of the median absolute deviation in R.

Let’s jump right to it.

## Example: Median Absolute Deviation in R (*mad Function*)

In this example, I’m going to use the following numeric vector as example input:

x <- c(3, 4, 1, 8, 2, 5, 2, 1) # Create example vector |

x <- c(3, 4, 1, 8, 2, 5, 2, 1) # Create example vector

Now, we can apply the mad R function in order to compute the median absolute deviation of this vector:

mad(x) # Apply mad function in R # 2.2239 |

mad(x) # Apply mad function in R # 2.2239

As you can see based on the output in your RStudio console, the MAD of our example data is 2.2239.

## Video & Further Resources

Below, you can find a video on the Statistics Globe YouTube channel where I describe the steps of this tutorial in expanded detail:

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In the example above, I’ve shown you the basic application of the R mad function. However, there are several possibilities to modify the function. All options can be found in the R help documentation of mad:

**Figure 1: R Help Documentation of mad() Function.**

In case you need another example for the application of the mad function in R, you may also have a look at the following YouTube video of Mr. Math Expert

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Furthermore, you might be interested to read some of the other R tutorials of this website:

- Standard Error in R
- Standard Deviation in R
- Variance in R
- Median in R
- R Functions List (+ Examples)
- The R Programming Language

To summarize: This R programming tutorial explained how to calculate the median absolute deviation. If you have any questions, please let me know in the comments below.

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