How Do You Tell A Person To Quit Staring At You?

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...And Not Offend That Person? Do you find it irritating or flattering when someone always stares at you? For me, I don't care if he's Brad Pitt. When someone stares at me, I find it disturbing and creepy. There's this girl in school who keeps on staring at me whenever I pass by her. I can't read her mind though because she always has this blank expression. It's been occuring since last month. Whenever I pass by and she sees me, she seems like staring at me forever like I'm going to die or something - really creeps me out. I want to tell her to go stare at someone else... But then I can't seem to do it because I might sound rude... She hasn't done anything harmful though. Just this weird habit of staring at me. But I don't like it. So how do I tell her? I don't even know her. I don't even want to tell her! But I just want to know why... I'm making a big deal out of this, right? But maybe she wants something.... I have asked my friends about her - they don't know her. All they know is that she doesn't seem to have any friends with her. Like a loner or something... Does she want to make friends with me? Now I'm babbling endlessly... Do you have any advice for me?