"What's the point if being different when it's difference now that looks alike?"
- Rhinestone Cowboy

To me, "average" or "normal" just means unduly affected by outside influences or contamination. However, it would be nearly impossible to go through life "unaffected" by our experiences. In fact, many would argue that having experiences is the purpose of living in the first place. So, by extension, nobody should seek to be "average", but to live life to the fullest, and allow yourself to grow and develop accordingly.