5 ms·
Let's do a simple experiment. Say skill is normally distributed. Let's take 1000000 people and draw their skill levels from a standard normal, and sort them by
by addcommitpush 4y ago
Let's do a simple experiment. Say skill is normally distributed. Let's take 1000000 people and draw their skill levels from a standard normal, and sort them by the skill levels. What is the difference in level between the 500000th person, and the person 1000 spot above them? 0.00252225 (in this simulation). What's the difference in skill levels between the 1000000th person and the person 1000 spots below? 1.596959. The 1000-person gap is 633 times larger at the top than the middle.
skill_levels <- rnorm(1000000) %>% sort()
skill_levels[501000] - skill_levels[500000]
skill_levels[1000000] - skill_levels[999000]