Wait, I just realized an error in my calculations. One moment while I recalculate. 

Edit: Nevermind, the number was accurate. I got confused because I saw a different number (.3%) for 3 standard deviations, but that is for 3 above [i]and[/i] below. 

Your character is equivalent to someone being 6'4". Take that for what you will. I also just realized that I miscalculated when I chose my own character's height. She lies 2 standard deviations from average, though that is equivalent to someone being 6'1". I personally know people around those heights. Though, attending a military college, my sample distribution may be skewed.