[1] He was descended from "an elite, old-line New England family,"[2] and attended many well-regarded educational institutions.
He published The English Income Tax with Special Reference to Administration and Method of Assessment (1899).
In 1899 he took on statistical work for the United States Census Bureau, of which he became chief statistician in 1909.
He was the author of many census reports on child labor, the insane, divorce, and kindred subjects.
[3] Although revised by Edward Vermilye Huntington, Hill is credited with the conception of the Method of Equal Proportions, or Huntington–Hill method of apportionment of seats in the U.S. House of Representatives to the states, as a function of their populations determined in the U.S.