Do white people have a higer bone density than black?

NO: Even correcting for other factors like diet, etc, blacks and other darker skinned races start with a higher bone density. Caucasians and asians are at higher risk for developing osteoporosis. However, other factors can predispose even darker races to osteoporosis like sedentary life style, poor diet, alcohol, certain drugs amongst others. Men can also develop osteoporosis form multiple factors.

Quite the opposite: Starting in infancy blacks have higher bone mineral density for age and sex then do whites. This translates into a lower lifetime fracture risk for blacks. The cause of this is not completely understood but may be related to higher efficiency of calcium absorption and retention during childhood and adolescence. Of course, this does not mean that every black person has a higher bone mineral density than every white person.