Do you mean that for each realm, you sum up the relations to all other realms?
Not per realm, but in total.
In numbers, this is what EI looks like right now:
Alliance 6
Peace 17
Neutral 19
War 3
I didn't check what those 3 wars are. Could be one realm fighting 3 others, or 3 seperate wars, so anywhere from 4-6 realms are involved in a war. It really is just a quick picture showing that peaceful relations dominate the game. I wouldn't expect war to be the largest slice, but it shows what many people feel intuitively - that there's too much peace in this game.
IMHO, "neutral" should be the largest slice, with the other two roughly balanced.