divide the the lower 48 states into equal pieces by population and distance

Question

Need to divide the the lower 48 states into equal pieces by population and determine where to place a point in the territory by distance most access to the most population (population centric but factoring that ALL population needs access)

Answer 1

According to the 2010 census, the mean population center of the United States was 2.7 miles northeast of Plato in Texas County Missouri.