Question on Stack Sizes

[baggins]

ok. let's say you are in a tournament. the one i had in mind is the PokerStars Freeroll, which usually gets more than 2000 players.

let's say you know the Chip Leader's stack size, you know the average stack size, and you know the smallest stack size. is there a way to predict with any reliability what place you are in?

say chip leader has ~140K, you have 120K average stack is 30K and shortest stack is <100.

intuitively it seems there should be a way to crunch these numbers and figure out how many stacks whould be bigger than yours, thus telling you where you stand on the ladder. am i off here?