median is the sample in the middle of the distribution (when it is treated as a sequence of samples ordered by their value), e.g. if you have sort(seq(dist))=[100$, 5$, 5$, 3$, 1$] the median is 5$
average is sum(dist)/size(dist), so avg * size(dist) => sum(dist)
in the example above that would be median 5, avg. 22.8, total 114, size 5
if you where to multiple the median by size you would have 25$ for the total value, which is very much very wrong
alt Hacker News
that isn't how the median works
median is the sample in the middle of the distribution (when it is treated as a sequence of samples ordered by their value), e.g. if you have sort(seq(dist))=[100$, 5$, 5$, 3$, 1$] the median is 5$
average is sum(dist)/size(dist), so avg * size(dist) => sum(dist)
in the example above that would be median 5, avg. 22.8, total 114, size 5
if you where to multiple the median by size you would have 25$ for the total value, which is very much very wrong