‘Being Normal’: A definition or state of mind?

Normal – adjective. Conforming to a standard; usual, typical or expected:

it’s quite normal for puppies to bolt their food

normal working hours

• (of a person) free from physical or mental disorders.

Apparently it’s possible to define a sense of ‘normality’, therefore making it possible for people to brand others as average or not?

This is surely a wrong move in an incredibly mixed society that has become commonplace throughout the modern world?