1. Dean’s Method

2. Overview We will be discussing a method of apportionment created by James Dean

3. Overview We will be discussing a method of apportionment created by James Dean Not this one But Professor James Dean (1776-1849)

4. What is Apportionment?

5. Means and Appointments Arithmetic, geometric, and harmonic means all have different use and each on is represented in the different appointment methods

6. 75 Seats Open

7. Harmonic mean The reciprocal of the arithmetic mean of the reciprocals of a specified set of numbers

8. Harmonic mean The reciprocal of the arithmetic mean of the reciprocals of a specified set of numbers Harmonic Mean = N (1/a 1 +1/a 2 +1/a 3 +1/a 4 +.......+1/a N ) ****N is the number of numbers ****a’s are your actual values

9. Simple Example Find the Harmonic Mean of 1,2,3,4.

10. Simple Example Find the Harmonic Mean of 1,2,3,4. Step 1: Calculate the total number of values. N = 4

11. Simple Example = 1.92

12. Harmonic Mean Example & Check Jogging @ speed of 4.5 mph Jogging @ speed of 3 mph What is the average jogging speed ? A B

13. Harmonic Mean Example & Check Jogging @ speed of 4.5 mph Jogging @ speed of 3 mph What is the average jogging speed ? A B = 3.6 mph

14. Harmonic Mean Example & Check Jogging @ speed of 4.5 mph Jogging @ speed of 3 mph What is the average jogging speed ? A B = 3.6 mph 9 MILES 2 Hours 3 Hours

15. Harmonic Mean Example & Check Jogging @ speed of 4.5 mph Jogging @ speed of 3 mph What is the average jogging speed ? A B = 3.6 mph 9 MILES 2 Hours 3 Hours 18 miles 3.6 mph x 5 miles = 18

18. Trail & Error in Deans method Because we are adjusting to our quota and continuously changing our quota in other methods, such as webester we get a sort of Deans method though these other methods Finding the true or most accurate mean By changing quota we are getting closer to this mean or the harmonic mean End up adding to numbers and not adding to get to the corrct amount of votes Trail and Error

19. Deans vs Webster How are they different? How are they alike? Dividing 75 votes

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21. 1,052,567 / 75 = 14034 Quotas Round 3.55344 11.834512 5.90616 44.652845 9.04789 Total76 New divsor = 14100 Webster 75 Seats Open

22. Webster 1,052,567 / 75 = 14034 Quotas RoundN.QInitial 3.553443.53724 11.83451211.784312 5.906165.8786 6 44.65284544.444 44 9.047899.00569 Total76 75 New divsor = 14100 75 Seats Open

23. Webster 1,052,567 / 75 = 14034 Quotas RoundN.QInitial 3.553443.53724 11.83451211.784312 5.906165.8786 6 44.65284544.444 44 9.047899.00569 Total76 75 New divsor = 14100 75 Seats Open

24. Deans 1,052,567 / 75 = 14034 Quotas 3.55344 11.834512 5.90616 44.652845 9.04789 Total76 New divsor = 14100 75 Seats Open