I'm a 27 year old woman who has never had a real boyfriend and yes, I'm a virgin.
I don't think there is a single black-and-white "yes" or "no" answer to this question. The answer to this question depends on many things.
Such as your personality, the type of life you lead, the circumstances you're in, what your values are, etc. Taking ALL of those aspects into account can give a more accurate answer than a quick "yes" or "no" from strangers who don't even know you and your life situation.
So, I think the best person to answer this question is you. You're the only one here who truly knows yourself.
Personally, I don't think anything is wrong with me. The reason I haven't had much of a love life is simple. I'm not out looking for one. I've directed more of my energies elsewhere. I'm also shy and reserved, so I'm not the type of person who gets out on the town much by default. Finally, I have very high standards for the type of man I want to end up with. I'm not going after any old dog.
So, when I put ALL of those factors together -- 1) love life hasn't been a priority; 2) I'm shy and reserved; 3) high standards for a man -- it's not surprising to see why I'm 27 yet have had no boyfriend and no sex. :-)