Interesting (I'm really bad at math). It seems dependent on measurement precision, effectively the bucketing resolution of the histogram. If you measure both 6

Interesting (I'm really bad at math). It seems dependent on measurement precision, effectively the bucketing resolution of the histogram. If you measure both 69.00 and 69.99 inches as 5'9" then the number of people in the "median height bucket" would be more than if you broke it into 100 buckets from 69.00 to 69.99. Since presumably nobody can be exactly 5'9" (or 5'9.00", or 5'9.000"...), then the number of people in the "median" bucket must represent the inaccuracy of the measurement. So the greater precision you can measure, the less people are "inaccurately" at the exact median score - since buckets of .01 inches will contain fewer people than buckets of 1 inch. (I've noticed a lot of problems end at this boundary of continuity and discreteness. I find it existentially disturbing. As a bewildered non-mathematician, I've gone down quite a few rabbit holes reading about the axiom of choice and intuitionism – My favorite was when I discovered the Hairy Ball Theorem, but I also enjoyed this idea from "Does time really flow?" that describes time as an increase in precision of measurement of uniquely numbered particles [0].) [0] https://www.quantamagazine.org/does-time-really-flow-new-clues-come-from-a-century-old-approach-to-math-20200407/ https://www.quantamagazine.org/does-time-really-flow-new-clu...