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Group Stat Rolling

I ran the numbers on a lot of different stat rolling methods a few months ago but since then I've thought of a new way that should be very balanced and involve the whole group.  Everyone roll up 6 stats (using your preferred method) and combine all the rolls in one list.   Example-

player 1 rolls- 12 15 16 14 13 11
player 2 rolls- 17 14 14 9 14 15
player 3 rolls- 12 14 9 13 18 14
player 4 rolls- 15 8 8 11 6 11

list-
12 15 16 14 13 11 17 14 14 9 14 15 12 14 9 13 18 14 15 8 8 11 6 11

Now players take turns selecting the stats for their pc from the list.  Who goes first?  Roll init for it or go with whoever had the highest stat roll.  In this case, player 3 goes first because he rolled an 18.  Now the trick to this is that the stats picked have to be in order and the same exact 6 numbers can't be picked twice.  So considering everyone wants that juicy 18, they might pick stats like this-

player 1 picks- 18 14 15 8 8 11 fighter
player 2 picks- 13 18 14 15 8 8 rogue
player 3 picks- 14 9 13 18 14 15 mage
player 4 picks- 12 14 9 13 18 14 cleric

This way everyone gets a really good chance at decent scores that are in line with everyone else's scores and the results still produce interesting, organic-feeling characters.

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