Do girls like introverted guys?

jebkciv
I am an introverted guy in college (18yrs old atm) and love to work out, study, watch movies with deep meanings. I'm so quiet that when I was a kid, my parents would yell at me for not making noise lol. Sometimes my close friends tell me that I am stuck in my own world, . In fact, I only talk to my friends openly, and only those of my friends that I deem as good people. When I am in the gym, working out/running, I kind of slip off into my own world, but I do notice quite a fair number o girls glancing at me/staring at me from afar. I don't know if that's just coincidence but...I have noticed many girls get on to the elliptical next to me, even if there are empty ellipticals that are elsewhere. I'm pretty sure I'm imaging this but... I guess that's the whole point of my question.
Do girls like introverted guys?
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