[ncphillips]

> By simple statistics, most people are, on average, about average.

I'm pretty sure this isn't true. Averages can be skewed by outliers. It's likely that most people are better/worse than average. Consider how the average life expectancy was horribly skewed by infant mortality.

[tome]

You're right, it isn't true. It doesn't even require outliers, just the curse of dimensionality. See for example https://www.thestar.com/news/insight/2016/01/16/when-us-air-...