This is the rather confusing go-to internet definition for robust data: Robust data is data that is constructed to survive and function in multiple settings. It's reusable. It can be updated.
Anyone want to take a stab at elaborating on this in plain English? I can't think of any example data that wouldn't be reusable or updatable by simply adding additional observations to it.
The crux of the matter is that I have a large dataset with some extreme outliers, and I therefore trust the median much more than the mean as the 'center' of my data. Do I have robust or non-robust data, (or does mean vs median have nothing to do with the concept)?