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format table a bit more visually cleanly / less noisy; make multiplication signs more awesome
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SevenSidedDie
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I simulated a million stat arrays with each method. I sorted each array, then took the average. Here's what I got:

with 3d6x12 method: 10.8, 11.5, 12.2, 12.9, 13.9, 15.2 with 4d6 method: 8.5, 10.4, 11.8, 13.0, 14.2, 15.7

with 3d6×12 method :    10.8  11.5  12.2  12.9  13.9  15.2 
with 4d6 method    :     8.5  10.4  11.8  13.0  14.2  15.7

So, with the 3d6x123d6×12 method, your best stat will be on average 15.2. With the 4d6 method it will be on average 15.7.

Conclusion: with the 4d6 method, your best (and second-best and third-best) stats will be higher, but your remaining stats will be dramatically lower.

I simulated a million stat arrays with each method. I sorted each array, then took the average. Here's what I got:

with 3d6x12 method: 10.8, 11.5, 12.2, 12.9, 13.9, 15.2 with 4d6 method: 8.5, 10.4, 11.8, 13.0, 14.2, 15.7

So, with the 3d6x12 method, your best stat will be on average 15.2. With the 4d6 method it will be on average 15.7.

Conclusion: with the 4d6 method, your best (and second-best and third-best) stats will be higher, but your remaining stats will be dramatically lower.

I simulated a million stat arrays with each method. I sorted each array, then took the average. Here's what I got:

with 3d6×12 method :    10.8  11.5  12.2  12.9  13.9  15.2 
with 4d6 method    :     8.5  10.4  11.8  13.0  14.2  15.7

So, with the 3d6×12 method, your best stat will be on average 15.2. With the 4d6 method it will be on average 15.7.

Conclusion: with the 4d6 method, your best (and second-best and third-best) stats will be higher, but your remaining stats will be dramatically lower.

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Dan B
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I simulated a million stat arrays with each method. I sorted each array, then took the average. Here's what I got:

with 3d6x12 method: 10.8, 11.5, 12.2, 12.9, 13.9, 15.2 with 4d6 method: 8.5, 10.4, 11.8, 13.0, 14.2, 15.7

So, with the 3d6x12 method, your best stat will be on average 15.2. With the 4d6 method it will be on average 15.7.

Conclusion: with the 4d6 method, your best (and second-best and third-best) stats will be higher, but your remaining stats will be dramatically lower.