[EM] Bart's "Median Rating" method?

[Bart Ingles]

Steve Eppley wrote:
> I think the definition of Bart's Median rating method needs
> clarification, since Bart's claim about highest median rating
> and majority appears dubious.  Here's an example to illustrate
> the problem:
> 
>    voter 1:  A=95, B=65
>    voter 2:  A=85, B=60
>    voter 3:  A=50, B=20
>    voter 4:  A=40, B= 0
>    voter 5:  A=45, B=55
> 
>    There is a majority (80%) who rank A ahead of B.
> 
>    Average rating for A = 63
>    Average rating for B = 40
> 
>    Median rating for A  = 50?
>    Median rating for B  = 55?
> 
> If I've interpreted correctly how Bart intends it to be
> tallied, B is the candidate with the highest "median rating."
> But I wouldn't agree that B is rated higher than A by a
> majority of voters.

Correction:  A majority rate the Median winner (B) higher than any
majority rates the opponent (A).