While many different apportionment methods have been devised and advocated, only four (Hamilton, Jefferson, Webster, and Huntington–Hill) have been implemented with the U.S. House of Representatives. One method was advocated in 1832 by John Quincy Adams, the sixth president of the United States, and bears his name. In Adams’ method, also known as the method of smallest divisors, a modified divisor is chosen so that all modified quotas can be rounded upward and have a sum that equals the number of seats to be apportioned; this is in contrast to Jefferson’s method, in which all modified quotas are rounded downward.
Consider the following statement. “Jefferson’s method favors large states, while Adams’ method favors small states.” Use results from problems 11, 15, 17, 33, 34, and 35 and your knowledge of the rounding techniques for both methods to provide evidence that the statement is true.
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