"I tested my reaction times, though, for, say, pushing a button as soon as I hear a beep, and they're average"

What equipment do you use to measure your reaction time with sufficient accuracy to know you're average?

Reaction time is a little different from speedy walking and talking, which load on cognitive speed, because reaction time has a higher loading on fluid intelligence than many other speed measures. But that still doesn't explain your (supposedly) average score