Every one of us is unique. No two of us are the same, so why do we try to fit in, to be normal? I would argue that, in addition to a natural human trait to want to belong, the creation of the norm has mostly been a product of marketing in the last fifty years or so. Mass production is cheap. Create a norm using television and radio, encourage everyone to conform, and you've created a mass audience to sell mass produced products to. It worked very well for a while.
Wanting to belong is okay, it is normal. Having large corporations and media conglomerates define who we should be is not normal, it is oppressive. Depression, stress, and a general dissatisfaction with life are all symptoms of what happens when we try to meet someone else's expectations.
The world has changed in the last few years. As the internet has opened our world of choice and expanded our ability to communicate with other people that have similar opinions and interests, we don't have to conform to connect. There are others out there just as weird as we are.
You don't have to be someone else's version of normal. Be weird. Be yourself. That is normal.