In an N-dimensional system, as N goes up, every member in a normally distributed population is increasingly likely to be at an extreme along some dimension (thi

In an N-dimensional system, as N goes up, every member in a normally distributed population is increasingly likely to be at an extreme along some dimension (this is related to the fact that a hypercube's volume is disproportionately close to edges and corners as dimensionality goes up). Even if you just stick to the big 5 psychological breakdown, the probability that someone is in the middle 80% on every measure is only about 1/3, so it's not surprising that most of us are a pretty big distance from normal overall.