The heights of NBA players form a skewed distribution rather than follow the normal distribution that the textbooks suggest. There has long been disquiet around whether the normal is the appropriate distribution for height with some authors using the log-normal instead.
Coin flips with offset returns are approximated by the normal distribution, linear returns by the log-normal and affine returns seem to be approximated by an appropriately scaled logit-normal distribution. A good fit for the heights of the NBA players is performed by this latter distribution. Further details for the NBA players and other adults are contained in a pre-print on GitHub.