Yes, the average GPA of students accepted into nursing programs
is very high. But, please don't let this discourage you if your GPA isn't perfect. That's what happened to me. Because of some poor choices on my part, my GPA was not up to par with that of the average nursing student. Before I applied to nursing school, I read posts and replies on allnurses similar to those that I'm sure you'll be getting - ones that make it sound like anything less than a 3.99999 won't even get you considered.
It really discouraged me and I started not to even embarrass myself by applying. The nursing school that I hoped to be accepted into was notorious for not accepting many applicants to begin with. Long story short - I ended up applying anyway. Of course, to be safe, I also applied to other programs considered less strict.
I was accepted! With a GPA that I would rather not tell you.
Whatever your GPA is - go for it. Talk to the director, tell them what happened to influence your GPA, emphasize your related experience, write an essay explaining what makes you a good candidate (even if that's not a requirement), and keep your fingers crossed. Your GPA isn't all that matters - even if the school says it's all they look at. That's what mine said too!