[PairTheBoard]

Yes, that's the idea Ed. However you miss the point of the Hand Ranking System when you say,

Ed: "There is no relaible or meaningful way to identify the "best" hand out of 10 random hands."

Once you pick a hand ranking system THAT is how you judge whether one hand ranks higher than the other. You also point out that some hands play differently according to the situation. That's why I suggest doing this for several different Hand Ranking Systems.

For example, you are in a tournament and thinking about going All In with 5 players left to act including the blinds. The most applicable Hand Ranking System here is probably just the one that determines which hands are favorites in a heads up show down matchup. In that situation do you or does anyone here know the Median Best hand you are up against with the 5 players left to act?

I think such knowledge would be very useful.

PairTheBoard