Comment Re: What's the point? (Score 2) 511
A counterexample would be skill levels (3,1,3,3,7) with a median of 3 and mean above 3. In neither of those definitions are half below average, being 1 or 2, and 4.
Simple math would say at least half would be less than or equal to the median.
Of course, simple math rarely works here to quantify except at the extremes. People have different abilities in different areas, and gray matter is plastic. It changes, and even that rate of change matters.