Is it true that you stop growing at 16 years of age?

People ALWAYS tell me this, but it's a hard thing to believe considering I'm turning 15 soon and I'm not very tall and my breasts are just peeking out. Oh, and my "womanly figure" hardly even kicked in yet. And as for my period, never started yet. That would mean I only have 1 year and 6 months to catch up. That really sucks, and it kind of makes me nervous.