1. Webster and Huntington – Hill Methods (Txt: 4.6, p. 152 & SOL: DM.9) Classwork: p. 147 (43) and p. 161 (15) Homework (day 15): p. 147 (44) and p. 161 (16) Quiz next block

2. Webster’s Method 1. Find a modified divisor, d, such that when each groups modified quota (groups population divided by d) is rounded to the nearest whole number, the sum of the whole numbers for all the groups is the number of items to be apportioned. The modified quotas that are rounded are called modified rounded quotas. 2. Apportion to each group its modified rounded quota. https://www.youtube.com/watch?v=ZNybGTvz_hQ

3. Ex: The Rapid transit services operates 130 buses along six routes A, B, C, D, E, F. Use the Webster Method, where SQ= standard quota, RQ = rounded quota and Q = quota 1, 2, etc. RouteAvg # passen gers SQRQ (final apporti onmen t) A43608.7298.8998.7798.759 B513010.261010.461010.321010.3010 C708014.161414.451414.241414.2114 D1024520.492020.912120.62120.5721 E1553531.073131.7032 31.25 3131.931 F2265045.34546.224645.574645.4845 TOTAL65000129132131130

4. Huntington – Hill’s Method read p. 152 - 153 Huntingoton- Hills Methos is the apportionment method we use today! http://www.youtube.com/watch?v=RUCnb5_HZc0 https://www.youtube.com/watch?v=l74j- auLjZE&index=5&list=PL3lTiXpk5jBi0Adp9xwz tlyPyeSmm_8FH

5. Huntington-Hill Method 1. Calculate divisor and quota 2. Calculate the mean quota 3. Apportion guidelines: * If the quota  Mean quota, then the index has the upper quota. * If the quota < Mean quota, then the index has the Lower quota. 4. If too few are apportioned then the modify the divisor lower, if to many then modify the quota up for new quotas. ALWAYS compare mean quota to the apportion. 5. Continue modifying divisor until apportion number is the correct total.

6. Ex: Refer to the previous example about the Rapid Transit Service to calculate the mean quota and verify using the LQ & RU RouteAvg # passen gers SQ A43608.72RU = 9 B513010.26LQ = 10 C708014.16LQ = 14 D1024520.49RU = 21 E1553531.07LQ = 31 F2265045.3LQ = 45 TOTAL65000130 Will it always work out that way? No, you may have to modify the divisor

7. So……. What do you notice about the names of the Apportionment Methods? (they are all named after presidents)