What if there are two (nearly) equally likely predictions? What if there are N, and they are not close together? "A single prediction that you can take the dif

What if there are two (nearly) equally likely predictions? What if there are N, and they are not close together? "A single prediction that you can take the difference with" makes some assumptions about the shape of your distribution, at least under any reasonable model of "code the difference" where, e.g., probability decreases as the difference gets larger. These are often very good assumptions, to be fair.