Section 2.3

Exercise #3

HH cutoff for rounding between 780 and 781: 780.499839846236

Exercise #4

HH cutoff for rounding between 945 and 946: 945.4998677948083

Exercise #5

Hill-Huntington's Method

    (State         pop           natquota      initial      )
    (Wilson           395637       12.5546            13    )
    (Roosevelt        444894       14.1177            14    )
    (Taft             273360       8.67444             9    )
    (Debs              83614       2.65329             3    )
    (Total           1197505     (31513.289)          39    )

    (State         threshhold    final        )
    (Wilson          31676.3            12    )
    (Roosevelt       32977.8            14    )
    (Taft            32215.8             9    )
    (Debs            34135.3             3    )
    (Total         (31676.343)          38    )

Exercise #6

Hill-Huntington's Method

    (State         pop           natquota      initial      )
    (Bristol           48859       2.43452             2    )
    (Kent             161135       8.02894             8    )
    (Newport           87194       4.34465             4    )
    (Providence       596270       29.7106            30    )
    (Washington       110006       5.48131             6    )
    (Total           1003464     (20069.280)          50    )

    (State         threshhold    final        )
    (Bristol         19946.6             2    )
    (Kent            18989.9             8    )
    (Newport         19497.2             4    )
    (Providence      19552.5            30    )
    (Washington      16974.3             6    )
    (Total         (20069.280)          50    )

Exercise #10

Hill-Huntington's Method

    (State         pop           natquota      initial      )
    (Algebra             286       5.25306             5    )
    (Trig                133       2.44286             2    )
    (Precalc             678       12.4531            12    )
    (Calc I              568       10.4327            10    )
    (Calc II             295       5.41837             5    )
    (Total              1960     (54.444)             34    )

    (State         threshhold    final        )
    (Algebra         52.2162             5    )
    (Trig            54.2970             3    )
    (Precalc         54.2834            13    )
    (Calc I          54.1567            10    )
    (Calc II         53.8594             5    )
    (Total         (54.283)             36    )

"Hamilton's Method" 
    (State         pop           natquota      initial      )
    (Algebra             286       5.25306             5    )
    (Trig                133       2.44286             2    )
    (Precalc             678       12.4531            12    )
    (Calc I              568       10.4327            10    )
    (Calc II             295       5.41837             5    )
    (Total              1960     (54.444)             34    )


    (State         frac          final        )
    (Algebra        0.253061             5    )
    (Trig           0.442857             3    )
    (Precalc        0.453061            13    )
    (Calc I         0.432653            10    )
    (Calc II        0.418367             5    )
    (Total                              36    )


"Lowndes's Method" 
    (State         pop           natquota      initial      )
    (Algebra             286       5.25306             5    )
    (Trig                133       2.44286             2    )
    (Precalc             678       12.4531            12    )
    (Calc I              568       10.4327            10    )
    (Calc II             295       5.41837             5    )
    (Total              1960     (54.444)             34    )


    (State         relfrac       final        )
    (Algebra         5.061224E-2         5    )
    (Trig           0.221429             3    )
    (Precalc         3.775510E-2        12    )
    (Calc I          4.326531E-2        10    )
    (Calc II         8.367347E-2         6    )
    (Total                              36    )


Jefferson's Method

    (State         pop           natquota      initial      )
    (Algebra             286       5.25306             5    )
    (Trig                133       2.44286             2    )
    (Precalc             678       12.4531            12    )
    (Calc I              568       10.4327            10    )
    (Calc II             295       5.41837             5    )
    (Total              1960     (54.444)             34    )


    (State         threshhold    final        )
    (Algebra         47.6667             5    )
    (Trig            44.3333             2    )
    (Precalc         52.1538            13    )
    (Calc I          51.6364            11    )
    (Calc II         49.1667             5    )
    (Total         (51.636)             36    )

Webster's Method

    (State         pop           natquota      initial      )
    (Algebra             286       5.25306             5    )
    (Trig                133       2.44286             2    )
    (Precalc             678       12.4531            12    )
    (Calc I              568       10.4327            10    )
    (Calc II             295       5.41837             5    )
    (Total              1960     (54.444)             34    )


    (State         threshhold    final        )
    (Algebra         52.0000             5    )
    (Trig            53.2000             2    )
    (Precalc         54.2400            13    )
    (Calc I          54.0952            11    )
    (Calc II         53.6364             5    )
    (Total         (54.095)             36    )