[pigou]

While those are interesting counterexamples, they don't come close to modeling a realistic "age-at-death" distribution. There isn't any such distribution whose median would be significantly skewed by a tiny minority of centenarian outliers. These distributions are basically unimodal with the exception of a some degree of infant mortality, and the average (median or mean) is not located at a thin spot in the distribution (quite the opposite) [1].

[1] http://www.longevitas.co.uk/site/informationmatrix/mortality...

[Dove]

Ah! Thank you! I had the most miserable time trying to google for that exact graph.