Lesson 4.4 – Jefferson's Method Exercise 1 Period ______ Follow
Lesson 4.4 – Jefferson's Method Exercise 1 Period ______ Follow
Lesson 4.4 – Jefferson's Method Exercise 1 Period ______ Follow
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Example 1: Complete the table below to determine the apportionment of course sections to themath courses using Jefferson’s <strong>Method</strong>.Math CourseEnrollment(p N )Standard Quota(q N )LQUQ=LQ+1LQ+2 MD#1 MD#2 Rank SectionsMath A 400 10.929Math B 90 2.459Math C 225 6.148Math D 200 5.464TotalEnrollment (P)TotalSections (M)StandardDivisor (SD)915 Initial Final2536.6Compare the results of apportionment using Jefferson’s method with that of Hamilton’s <strong>Method</strong>.____________________________________________________________________________________________________________________________________________________________Example 2: Recall that the apportionment using Hamilton’s <strong>Method</strong> of 176 congressional seatsin the country of Mathland gave 92 seats to Algebra, 82 seats to Geometry and 2 seats to Trig.Now find the apportionment of the 176 seats in Mathland using Jefferson’s <strong>Method</strong>.StatePopulation(p N )Standard Quota(q N )LQUQ=LQ+1LQ+2 MD#1 MD#2 Rank SeatsAlgebra 9230Geometry 8231Trig 139TotalEnrollment (P)TotalSeats (M)StandardDivisor (SD)InitialFinalCompare the results of apportionment using Jefferson’s method with that of Hamilton’s <strong>Method</strong>.____________________________________________________________________________________________________________________________________________________________Are the apportionments of each method always the same? ____ Are they always different? ____
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