> Most people have an above-average number of legs.
The arithmetic mean and the median are both averages, but the upthread comment was about the median and yours about the arithmetic mean.
> There's really no contradiction there; all it takes is for there to be a couple low scores pulling the average down.
Well, no, when what you are estimating is relative performance by score percentiles, and people's self evaluation is biased toward the 70th percentile, that's not what is happening.