Question: The following table shows how the average constituency changes for two regional governing boards, Joshua and Salinas, when a new representative is added to each

The following table shows how the average constituency changes for two regional governing boards, Joshua and Salinas, when a new representative is added to each board.

Joshua's average constituency: Salinas's average constituency Joshua receives

new board 1176 1613

member

Salinas receives

new board 1533 1344

member

(a) Determine the relative unfairness of an apportionment that gives a new board member to Joshua rather than to Salinas. Round to the nearest thousandth.

(b) Determine the relative unfairness of an apportionment that gives a new board member to Salinas rather than to Joshua. Round to the nearest thousandth.

(c) Using the apportionment principle, determine who should receive the new board member.

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