Well, this is loaded question... no real answer that applies to all roosters. They are all different. Roosters without hens act completely different than if they have a harem. Some roosters are crazy and attack as soon as you turn your back and will never stop coming. Some will never attack you. Some will be sweet as pie and friendly to boot.
When I was a kid, we had a really mean rooster named Stewart. He chased us kids, attacked my mom and nothing my dad did worked (he went into the freezer). I have a distinct memory of my mom throwing a tub of whipped cream cream that had gone bad at him and running away hollering for help! Recently, my dad had a barred rock that was about as mean as they come. You had to almost kill him to get into the coop. The only way to stop him was to knock him out.
My current rooster is a sweet Mottled Cochin Bantam. He is a doll. Very good to his ladies and while not overly friendly with people, he is not aggressive towards us - even kids. His three brothers? Nasty little buggers. All three got the ax. His son - like a dog. Follows you around and enjoys shoulder rides.
I think everyone on this site who has/had a rooster will have a different answer for you