RT @docmilanfar
A most surprising & little-known results in statistics is that the mean (μ) and median (m) are within a std deviation (σ)

|μ−m| ≤ σ

for unimodal densities bound is even tighter

|μ−m| ≤ 0.7756 σ

This beautiful results first appeared in a 1932 paper by Hotelling & Solomons