Based on what I've seen, I think that the median member of Group A has a higher qualityOfCharacter than the median member of Group B. I don't think there's anything inherently better about Group A.

Having a higher median "qualityOfCharacter" seems to me like it is an inherently better thing.

Aside from that, I basically agree completely with Lyyce except that I think "one" near the start of that comment should be replaced with "everyone".