The phrase "normal kids" is an idiomatic expression that refers to children who are considered typical or average in terms of their behavior, development and social interactions. Full definition
So early childhood educators, as I was saying, have that advantage of seeing lots of normal kids. (kidsmatter.edu.au)
When you're gone, there are some big deals, things that happen in normal kid's life every day. (pregnancymagazine.com)
These are normal kids into the normal things teenagers do, not adults with public relations consultants and other handlers who provide advice and counsel. (scompr.com)