What does a large MAD tell you about the mean?

Answer: A large Mean Absolute Deviation (MAD) tells you the values are spread out far from the mean.

In a set of data, we can add up all the values and divide by the total number of values. This will give you the mean. It tells you what the "center" of the data set is.

Now, you can take the difference of each individual value from the mean. If you take the absolute value of that number and find the mean, you will have the M. A. D. of the set of number.

The larger the MAD, the further away the values are from the mean.