ArcaneSpringboard
First Post
This is incorrect. The standard deviation of 1d20 is 5.916 and the standard deviation of 2d20 (or 1d20 - 1d20) is 8.165. Opposed rolls have a higher standard deviation, so I would call them more swingy. They also eat up more time at the table.
Also, you're not comparing apples to oranges here.
Sure, the 'standard deviation' that you calculate for 1d20-1d20 is higher...but the range of values is also higher. 1d20 only goes from 1 to 20. 1d20-1d20 can go from -19 to +21.