This article is above my league but it talks about a topic which I am interested in, the relationship between mean, mode and median. It says :
It is widely believed that the median of a unimodal distribution is "usually" between the mean and the mode. However, this is not always true...
My question: can someone provide examples of continuous unimodal (ideally simple) distributions where the median is outside the [mode, mean] interval? For example a distribution such as
mode < mean < median.
=== EDIT =======
There are already good answers by Glen_b and Francis, but I realized that what I am really interested in is an example where mode < mean < median or median < mean < mode (that is both median is outside [mode, mean] AND median is "on the same side" as mean of mode (i.e. both above or below mode)). I can accept the answers here are open a new question or maybe someone can suggest a solution here directly?