As far as I know there are no such measured stats.
Speaking only for myself, my parents pretty much let me do whatever I wanted to do. And that was never mathematics. At least, not until university. Before university I largely viewed mathematics as a dreadfully boring and useless subject where the high point was the quadratic equation. Continual exposure to engineering (through my father) slowly weakened my resolve. I was quite reluctant to respect mathematics. Eventually I came to a grudging respect for mathematics but the pile of non-trivial applications got pretty deep beforehand. Then, as a 1st year undergraduate student I learned about the Smale-Hirsch theorem. That turned my head around, there was something to mathematics after all.
