Normal is what makes you happy. If that is different from what others think of as "normal" then who cares!
I spent my middle school and early high school years trying so hard to be liked. Eventually I learned (very difficultly) that I was surrounded by people I loved and who loved me. At first it was just one person, but then as I started truly loving the people around me, I found more and more true friends.
So that just means, find people to love and who will love you, just the way you are. Sounds cliche, I know, but it's true.
Other than that, my favorite parts of being a teenager are the times when I let myself have fun no matter what other people thought. Remember that you must take responsibility for your own actions, but don't let that stop you from having fun and being silly.
Just learn to love life and not take things too seriously. Hold on to the people around you, plan for your future, but live in the present and love every moment of it.
Have fun being a teenager! Be silly, be crazy, love hard, but don't do anything too stupid. Trouble can follow you the rest of your life, but so can fun, good times, and good friends.