You might think i am socially retarded but i am not!! please help

Alright so there is this girl at the gym (actually my senior .... I am in a medical college) she keeps on staring at me sometimes she would turnaround look at me then quickly look away i mean its really obvious(and outside the gym in the hospital she would make a real long eye contact , i mean real long)...so i thought i should talk to her but never had the cohones to do so..somehow she thought i was following her because i used to leave the gym as soon as she left but that was because i wanted to talk to her but never could... so I decided to give her a note(saying: i don't know what lead me to believe that you like me , I am sorry for any trouble i might have caused you unintentionally ) but after that her staring became more frequent so i finally asked her if she had a moment to talk... she smiled and said "sorry no" and left but she still gives me the same look its really annoying and frustrating ... What should i tell her?? Because i don't wanna blow it up just because she might be a little shy about this??

Should 'I' tell her that i like her??

Shes playing games. Ignore her and move on. If youre lucky, she'll notice your disinterest and come up to you :)

i dont think so because even when i am not looking she is always staring at me or may be you are right

Well if she was interested, she would have said yes. So why is she still staring? Shes either playing games or she's mentally deranged.

i will go with deranged.. screw her!