# Median absolute deviation vs standard deviation

Can Gaussian density distributions be modified using median and median absolute deviation as opposed to mean and standard deviation (since the former are more robust)?

• Could you please clarify what you mean? – Dave Jun 6 '19 at 16:03

By looking at the gaussian probability density function and inspecting the parameters you will see, that there is actually no mean at all. There is only the expected value $$\mu$$, which is not necessarily the mean of your data, and $$\sigma$$, which depends on $$\mu$$.