NORMal is someone who acts according to the norm, the stereotype of perfect citizen that a society has. In my society for example, a normal person is someone that has finished secondary school, is going/has been to university and has at least an important title and has a stable job. To be normal you have to listen to certain genres of music and dress with a certain fashion. You're probably made fun of if you dress differently. It shocks me how every young person that goes to a club dresses exactly the same as the others, they look like clones.
But they are normal, that's everything that matters And they are considered to have "succesfull lives" because they have a nice job, have nice clothes and a family. It doesn't really matter if that makes you happy, you have a successful life and you should be happy because of it.