Is it normal for a girl to want a guy to 'fix'?

It began in middle school, when my friend/crush had depression. I didn't understand at the time what that meant, but I found myself getting really attached to him, sympathizing for him, etc. Then in high school, I dated this guy (who no one seemed to like) kinda the dark-type, and he had anger issues. I was able to help him calm down a lot of times where he would've lost, and he was really needy, so I guess I felt like that was what my job was supposed to be.

I talked to my friend about this and she said it's the whole "wanting to fix someone" I do understand now that I should avoid making other people's problems my own, and that many times the person needs to help themselves. I just wanted to know if this is normal.