my father was a hair taller than me, and my mother is a hair shorter than me. my full sister is a good inch taller than me - she's a convincing 5' 9". and, i have an aunt that is 5' 11".
we know that height is primarily a function of nutrition and diet during childhood, and it is not clear whether the differences we see in gender across most cultures (although not all cultures.) are due primarily to genetic sexual dimorphism or to cultural differences in how men and women are nourished in childhood. in rural india, where poverty is endemic across both genders, the average height of men and women are both around 5' 4". on the other hand, the average height of women has been increasing dramatically over the last century inside of oecd nations, where gender equality is on the rise. women in northern europe are taller than men in much of the world, nowadays.
5' 8" would be relatively short for a woman in scandinavia, which is where my mother's ancestors are from, and which is the part of my ancestry that i most readily identify with, culturally. while it is a little taller than the global average for women, it is also shorter than the global average for men. i would be considered very short for a male in northern europe.
so, i don't consider myself particularly tall.
i meet women that are taller than me all of the time.