coastalcarolina0-my.sharepoint.com CCOC Portal Upload Assignment: Quiz 12C - MAT-143-14W-319 Quiz 12C Alexandria > Documents Quiz 12C sp 16(1) - Saved Simplifi Layout References Review View Help Open in Desktop App Tell me what you want to do 12 A A B I U . DV Av A Ev ... Ap Styles ~ 0 Find 1. Middle Earth is a world created by J. R. R. Tolken and brought to life in the Lord of the Ring movies by Peter Jackson. Middle Earth is inhabited by hobbits, dwarves, elves, wizards, men and many mutant forms of evil. Suppose that the good inhabitants of the realms of Gondor, Eriador, and Rohan These realms are like "states" that make up Middle Earth) have agreed to form a federation to foster mutual protection, trade and cultural exchange. The estimated populations of these realms are given below. The high council of the federation is to have 10 seats. Use Hamilton's Method to apportion the seats among these 3 realms. NOTE: The population is given in thousands, you do not need to convert it to its actual number, just use the numbers that are given in the table below. (ie use 94.7 do not convert it to 94,700) Realm Gondor Eriador Rohan Total Estimated Population 94.7 72.6 33.7 201 (thousands) Standard Quota 4.71 3.61 1.67 Minimum Quota 4.7 3.6 1-7 Fractional Remainder Final Apportionment of Seats a. Calculate the Standard Divisor for this data set 20.1 SD = 20100. Total population divided by seats. 201,000 people / 10 seats = 20100. hundredth) b. Calculate the Standard Quota for each realm and write it in the table. (Round to the nearest Q4 7/20 1 = 4 71 72 6/20 1 = 361 33 7/20 1=1 67" coastalcarolina0-my.sharepoint.com Upload Assignment: Quiz 12C - MAT-143-14W-319 > Documents Quiz 12C sp16(1) - Saved References Review View Help Open in Desktop App Tell me what you want to do 12 v A A BIU D AN Ao . .. Styles ~ O a. Calculate the Standard Divisor for this data set SD = 20100. Total population divided by seats. 201,000 people / 10 seats = 20100. 20.1 b. Calculate the Standard Quota for each realm and write it in the table. (Round to the nearest hundredth) 94.7/20.1 = 4.71. 72.6/20.1 = 3.61. 33.7/20.1=1.67 c. Round Each Standard Quota down and write it in the table. Do you have any seats left over? If so, how many? 4.7. 3.6. 1.7 = 10 10 Seats left over 2. Let's use Jefferson's method for the Middle Earth high council seats apportionment example Recall, there are 10 high council seats to be apportioned to the 3 realms. Realm Gondor Eriador Rohan Total Estimated Population 94.7 72.6 33.7 201 (thousands) Standard Quota Minimum Quotacoastalcarolina0-my.sharepoint.com C eload Assignment Quiz 120 - MAT-143-14w-319 ria > Documents Quiz 12C sp 16(1) - Saved References Review View Help Open in Desktop App Tell me what you want to do 12 v A" A" B I JE Ev ... A Styles v 2. Let's use Jefferson's method for the Middle Earth high council seats apportionment example. Recall, there are 10 high council seats to be apportioned to the 3 realms. Realm Gondor Eriador Rohan Total Estimated Population 94.7 72.6 33.7 201 (thousands) Standard Quota Minimum Quota Modified Quota (divisor 19) Minimum Quota (divisor 19) Modified Quota (divisor 18) Minimum Quota (divisor 18) a. Since the standard divisor was 20.1, let's try 19 as a lower modified divisor. Fill in the Modified Quota rounded to the nearest hundredth and then round down to compute the Minimum Quota. Do you have any seats left over? If so, how many? b. Since a modified divisor of 19 did not yield our total high council seats to be apportioned, try a new lower modified divisor of 18 and fill in the Modified Quota rounded to the nearest hundredth and then round down to compute the Minimum Quota. Do you have any seats left over? If so, how many?coastalcarolina0-my.sharepoint.com Upload Assignment Quiz 12C - MAT-143-14W-319 ria > Documents Quiz 12C sp16(1) Saved References Review View Help Open in Desktop App Tell me what you want to do 12 V AABIUDAVAo ... EEVEEEV ... A Styles v Minimum Quota Modified Quota (divisor 19) Minimum Quota (divisor 19) Modified Quota (divisor 18) Minimum Quota (divisor 18) a. Since the standard divisor was 20.1, let's try 19 as a lower modified divisor. Fill in the Modified Quota rounded to the nearest hundredth and then round down to compute the Minimum Quota. Do you have any seats left over? If so, how many? b. Since a modified divisor of 19 did not yield our total high council seats to be apportioned, try a new lower modified divisor of 18 and fill in the Modified Quota rounded to the nearest hundredth and then round down to compute the Minimum Quota. Do you have any seats left over? If so, how many? Compare: What was the difference in apportionment between Hamilton's Method and Jefferson's method for allocating the seats for the high council