Is it normal to care about what others think about you?

Hmmm maybe the title doesnt really go with what im trying to say but here it goes. So for everyone who says they dont think about what others think of you, do you really not think or care? Or ur just saying that to look tough? Because,I can say i dont pay attention to whatever people say about me infact i really have no idea what people think of me and kinda scares me to find out! But i still care about what people might say or think of me because im afraid of them getting the wrong idea about me and i want them to like/dislike me for who i am, not for what is said. I think everyone does care about others' opinions about them but not pay attention to them as much as others might but i hope with this post, those who claim they dont care admit that yah they do care, but it might not affect them. I try to do what i am, but i care alot what people might think about me because of i said or did and other people spread about it inm a wrong way, etc..and i have to fix that or atleast lower how much i care about what people think, because in the end, everyone does care, its just if it affects them or not.