Suppose there are n experts who rank m players. Let's assume there are no ties, a lower ranking is considered "better", and the rankings done by each expert are complete. For each player, we know:

• the best rank
• the worst rank
• the average rank
• the standard deviation

Without knowing how each expert voted, how would you determine what percent of experts would prefer a given player from a subset of all players?

I really only need these results to be accurate to the nearest percent or so, therefore reasonable assumptions to simplify the calculation are acceptable.

Suppose there are n experts who rank m players. Let's assume there are no ties, a lower ranking is considered "better", and the rankings done by each expert are complete. For each player, we know:

• the best rank
• the worst rank
• the average rank
• the standard deviation

Without knowing how each expert voted, how would you determine what percent of experts would prefer a given player from a subset of all players?

I really only need these results to be accurate to the nearest percent or so, therefore reasonable assumptions to simplify the calculation are acceptable.

EDIT: Here is what I have tried so far (assuming a normal distribution):