Is it possible to be anorexic even though my weight is average?

Anorexia: You have to start somewhere, so yes, presumably one can be normal, average weight when anorexia first sets in. However, if left untreated, eating disorder will eventually result in becoming underweight. Check out http://www.mayoclinic.org/diseases-conditions/anorexia/basics/definition/con-20033002 for more info. Then see your Family Doc for treatment & referral as appropriate.

It's a mindset: While the majority of people with anorexia will be underweight, some to dangerous degrees, anorexia is more about the mindset that one's actual body weight. The mindset results in the underweight state. So yes, you could think anorexic without actually being physically underweight.