When developing a character concept, what is your process like? Do you imagine a person with a background and personality and then ascribe game stats to that model? Do you start with a race, class and crunchy concept ("A dwarven barbarian/rogue with an urgrosh and all the Two Weapon Fighting feats." for example) and try to figure out what he/she/it is like as a person after the character sheet is complete? What other factors might influence the design of your ultimate product? Do you care at all what everyone else is playing?
For DMs, is that process different at all when designing an NPC or monster?