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/

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-force-discovered-the-flaw-of-averages.html https://www.thestar.com/news/insight/2016/01/16/when-us-air-...