Re: [math-fun] another kind of median (trying again)

But: For very small samples, the median doesn't generally convey much information. For a large sample, however, this "bar-graph" median can be unduly influenced by outlying data -- much as an average can.

Really? It seems to me that the bar-graph median is very close to the "true" median. In one case, your probability measure on R is a combination of point-masses; in the other case, it's a combination of uniform distributions on disjoint intervals. But it's only near the median that it makes any difference which you're using.

Jim, what is the Propp median if there are m zeros and m fives (and zero everything else)?

In that case it isn't well defined. Jim