Discrete Math Class: 2013

WHITFIELD’S ELECTION 2012-2013

THE ELECTORAL COLLEGE

• 538 Representatives

• Not Fully Democratic (not one-person, one-vote)

• Based upon a Republic; Federal represents states, not people directly.

• Number of electors is determined through a mathematical process called “Apportionment”

CALCULATIONS

Number of students in each grade + Faculty/Staff = 468

Number of electors = 40

Standard divisor: 468 = 11.7 people per elector 40

Standard quotas = Pop. Each Grade Level + Faculty/Staff Standard Divisor (11.7)

CALCULATIONS (CONTINUED)

*Round the quotas using “Geometric Mean”…

Ex: The Geometric Mean of 4 and 5 = Square root of 4 x 5 = 4.472

If quota is above 4.472 the it goes to 5.0, if below to 4.0.

ELECTORS FOR THE 6TH GRADE

25 students

11.7 (standard divisor)

Quota = 2.13

Geometric mean = 2.449

Electors for 6th Grade = 2

ELECTORS FOR THE 7TH GRADE

49 Students 11.7 (Standard Divisor

Quota = 4.18

Geometric mean = 4.472

Electors for the 7th Grade = 4

ELECTORS FOR THE 8TH GRADE

52 Students 11.7

Quota = 4.44

Geometric mean = 4.47

Electors for the 8th Grade = 4

ELECTORS FOR THE 9TH GRADE

70 Students 11.7

Quota = 5.98

Geometric mean = 5.47

Electors for the 9th Grade = 6

ELECTORS FOR THE 10TH GRADE

59 Students 11.7

Quota = 5.04

Geometric mean = 5.47

Electors for the 10th Grade = 5

ELECTORS FOR THE 11TH GRADE

67 Students 11.7

Quota = 5.72

Geometric mean = 5.47

Electors for the 11th Grade = 6

ELECTORS FOR THE 12TH GRADE

56 Students 11.7

Quota = 4.78

Geometric mean = 4.47

Electors for the 12th Grade = 5

ELECTORS FOR THE FACULTY/STAFF

90 people 11.7

Quota = 7.69

Geometric mean = 7.47

Electors for the Faculty/Staff = 8