Well, what exactly do you consider 'dating' to be? Do I think you are old enough to go out with a bunch of guys and spend the night with them? no.
Do I think you are old enough to go to a movie with someone that you like? Sure!
As long as you are fully aware that sometimes people have ulterior motives you will be fine. Don't be every so trusting to the point where you are oblivious to what is going on around you. Always remember that you don't 'owe' anyone anything for taking you out somewhere.
But to answer your question, I think it is perfectly fine for you to go out and have some fun if you are sure that you are responsible enough to understand the difference between good and bad signals.
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:)