I have noticed that men tend to do more of the physical labor like construction and factory working while women were doing work that uses more brain then physically working.
My father works at a deli. He has to cook, clean, and earn money at the store. On the other hand, my mother is a piano teacher. She teaches students by talking to them and showing them on the piano. Teaching is physically less work then working at a deli.
Gender does play a role in society. Men are stronger then women so they tend to do the physical work while women do the work that involves more thinking then working with their hands.