It reflects the in-game probability of doing certain tasks. Out of game, you could be a picture of grace, but unlucky, or you could die because you're a an arrogant cad who exists mainly to get killed by the PCs. How dextrous are you? Well, what level are you? What feats, skills, and class abilities do you have? How are you rolling tonight?
I wouldn't even agree with the proposition that Strength is how physical powerful you are, absolutely, or that your hit points are how tough you are. They correlate with those things but they are not, of themselves, those things.
Superheroes, in D&D terms, would have huge Intelligence scores, simply because superheroes think their way out of so many problems, and have so many skill points, that they would need a 14 or more at the low end. 18 is probably a common Intelligence score for your average teenage superhero. Their Dex is high, too... even if they go up against a kung fu master or a robot assassin, we know a superhero is likely to avoid a few hits. Irrespective of how their physical agility is portrayed, in general... in games terms, they have a high Dex.