The average by now i think is 5 11" for men and 5 5" for women.
It depends a little from country to country, but about that, still it is interestingly consistent in moth countries that the average difference between male and female is 6".
That strongly suggests that this is true for the average difference of those who childs too is 6". Because there actually are reasons to believe that tall women attract taller man, iu suspect that the standard derivation is rather small. Meaning that for a lot of parents the differnce is 6" or very close to that. If you average their heights than and then either add or subtract 3" you will get to the height of the parent of the same gender in most cases. You are a perfect example.
The average height of your parents is 5 7" adding 3" gets you exactly to your fathers height. What i am saying is, that the percentage of men who are within 2" of the height of their father will be pretty lose to the percentage that you get from your calculation