I disagree. There is a wealth of biological evidence to show that a human's brain doesn't finish maturing until (approx.) age 25. By that standard you could make the argument that 25 is when people reach adulthood.
Of course, what we're really talking about here is expectations of responsibility, so even though "by 15 or 16 people should already be expected to act like adults" these young people still have maturing to do.
It's not surprising that in our rich modern society the age of 'adulthood' has risen to 25, especially considering we live so much longer than we used to.