For example, the average person has approximately 1 testicle.
Whenever people trot out the tired statistic that 70% (or whatever) of drivers believe they're better than the average driver, to mock the idea of how well people rate their own abilities, I trot out the statistic that 99.9% of humans have more than the average number of eyes. We assume gassian distributions with no idea if that's actually representative of the results.
With that said, at least the air force example is a case of misunderstanding of how averages concatenate, which is a slightly more complicated poor understanding of statistics. (It doesn't take long to calculate 0.3^10 and realize that it's an extremely small number, but that's not intuitive if you haven't taken statistics classes, or, in my case, lots of chemistry classes: when you have a complex synthesis that has seven steps, each with 80% yield, you realize you're going to need kilograms of starting material to even measure your final product.)