total dollars donated are what matter, not anything about the distribution of dollars over people.

Really? Under this approach a hundred EAers where 99 donate zero and one donates $1m suffer from less hypocrisy than a hundred EAers each of which donates $100.

And if only total dollars matter, then there is no need for all that statistical machinery, just sum the dollars up. "Median donations", in particular, mean nothing.

I think you're mistaken about total dollars. If I were curious about the hypocrisy of EA people, I would look at the percentage which donates nothing, and for the rest I would look at the percentage of income they donate (possibly estimated conditional on various relevant factors like age) and see how it's different from a comparable non-EA group.