As Delain so poetically put it "Normal is not the norm, it's just a uniform".
It's been shown that if you are completely average in every way then you are actually a statistical freak or don't even exist. Examples (thanks QI) are:
1. USAF's attempt to design a universal pilot's seat for jet fighters. Measured every pilot, took the average, seat didn't fit anyone.
2. Advertising campaign in Australia to find the average Australian housewife. Crunched all the numbers, noone could be found who matched the criteria.