Psychologically, I don't know who matures faster, but as far as physical appearance goes, the end of childhood, and the beginning of 'teenagehood' girls start GENERALLY earlier. this is the early teenage years are the only years when statistically girls/women are higher than boys/men of the same age. It supposed to give them some sort of egde, they're able to bear children much earlier.
I think the male sex has done a great job in calming down its urges to fight and make war over the centuries, but its harder than you'd think. Men can't stop the desire to be aggressive and fight just as much as women can't stop the desire to want to mother and provide for their familes. Its all biological.

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