Dean’s Method. Overview We will be discussing a method of apportionment created by James Dean.

Slides:

Advertisements

Similar presentations

You WANT me to make a paper airplane??? A lesson in calculating the speed of an object.

Advertisements

Operations Basic Arithmetic Operations. 7/9/2013 Operations 2 2 A Subtraction ( – ) Division ( / ) Notation … addition of negatives … multiplication of.

The Integral Test.

How are the number of seats per state assigned by the Constitution?

Huntington-Hill Method Method of Equal Proportions Joseph A. Hill, Chief statistician, Bureau of the Census Edward V. Huntington, Professor of Mathematics,

EXAMPLE 5 Write and solve an equation

Errors in Measurements Class measurements for the density of gold (in g/mL) Group 117.8Group Group 218.0Group Group 317.9Group

6.7 Applications of Rational Expressions. Objective 1 Solve problems about numbers. Slide

Norman W. Garrick Traffic Flow Analysis Lecture 12 CE 2710 Norman Garrick.

Norman W. Garrick Stream Flow. Norman W. Garrick Video Showing Behavior of Traffic Stream Automated Platoon Demo in 1997 Source: California Partners for.

Bike Odometer Finding Speed. Odometer Mr. Ranney loves to ride his bike around town every once and while. He has always wanted to know how fast he was.

Linear Motion. Moving things have two different kinds of motion Linear Motion Harmonic Motion Motion is a change in position in a certain amount of time.

#1#2 #3#4 #5#6 #7#8 #9#10 #11#12 #13#14 #15#16 #17#18 #19 Rational Expressions Test (Study Guide #2) Simplify Name_________________1 1) 5) 8) 4) 3) 7)

Descriptive Statistics Anwar Ahmad. Central Tendency- Measure of location Measures descriptive of a typical or representative value in a group of observations.

Discrete Math CHAPTER FOUR 4.1

Chapter 14: Apportionment Lesson Plan

Section 2Chapter 2. 1 Copyright © 2012, 2008, 2004 Pearson Education, Inc. Objectives Formulas and Percent Solve a formula for a specified variable.

Other Apportionment Algorithms and Paradoxes. NC Standard Course of Study Competency Goal 2: The learner will analyze data and apply probability concepts.

The Webster and Hill Method for Apportionment Both are like the Jefferson method.

Solving Multiplication Equations Using the Multiplicative Inverse

Math and Measurement. Significant Figures Significant Zeros 1.Leading zeros are never significant 2.Trailing zeros only count if there’s a decimal point.

Ratio, Rate, Proportion, and Percent. Ratio  Comparison of two numbers by division  Can be written three different ways 4 to 9 4 :

Other Means. The Geometric Mean The Harmonic Mean.

9.1 Notes Geometric Mean. 9.1 Notes Arithmetic mean is another term that means the same thing as average. The second do now question could have been,

Upper and lower bounds starter 28 has been rounded to the nearest whole number. What is the minimum and maximum value?

Comparing mean and median measures of central tendency.

Calculating Rates. Speeds Speeds are often described as rates. Ex: MPH = miles per hour MPS = meters per second In all the following slides we will use.

When is an object in motion, and how can you calculate speed?

Copyright 2013, 2010, 2007, Pearson, Education, Inc. Section 1.2 Estimation.

 You can use weighted averages to solve uniform motion problems when the objects you are considering are moving at constant rates or speeds.

Motion Describing & Measuring Motion Chapter 1 Section 1.

4-3 Solving Multiplication Equations Standard : PFA Indicator: P9 (same as 4-2)

Solving Worded Problems QUADRATIC EQUATIONS 1.Write expressions for unknowns. 2.Connect exprssns to form an eqn 3.Solve equation 1.Write expressions for.

The Physical Sciences Chapter Two: Science and Measurement 2.1 Inquiry and the Scientific Method 2.2 Distance, Time, and Speed 2.3 Experiments and Variables.

ALGEBRA READINESS LESSON 2-5 Warm Up. ALGEBRA READINESS LESSON 2-5 Warm Up.

2.4 More Apportionment Algorithms and Paradoxes Ms. Magné Discrete Math.

ALGEBRA READINESS LESSON 2-5 Warm Up. ALGEBRA READINESS LESSON 2-5 Warm Up.

9-5 Alternating Series Rizzi – Calc BC. Objectives Use the Alternating Series Test to determine whether an infinite series converges. Use the Alternating.

Jeopardy Speed Scientific Method Graphs of Motion Solving Problems Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.

Speed and Motion Chapter 1.1 (pages 16-25). Motion An object has motion when the distance from another is changing. Depends on point of view. Use a reference.

Speed How many measurements for speed can you think of?

Notes Over 3.2 Solve the equation. Notes Over 3.2 Solve the equation.

Measures of Central Tendency

Chapter 3: Measurement: Accuracy, Precision, and Error

1. If you travel at 10mph for 1 hour, how far do you travel?

Speed and Velocity.

Starter Questions Convert the following to minutes :-

Primary 6 maths information evening

Describing Motion.

Chapter 14: Apportionment Lesson Plan

Measures of Central Tendency

Arithmetic & Geometric Sequences

30 miles in 1 hour 30 mph 30 miles per hour

Chapter 15: Apportionment

Chapter 2 Section 2.

Section 15.4 Flaws of the Apportionment Methods

A car travels a distance of 665miles at

Algebra 1 Section 13.7.

Performance Cycle time of a computer CPU speed speed = 1 / cycle time

Starter Questions Convert the following to minutes :-

Speed, Distance, Time Calculations

HAMILTON – JEFFERSON - WEBSTER

The Physical Sciences. The Physical Sciences Chapter Two: Science and Measurement 2.1 Inquiry and the Scientific Method 2.2 Distance, Time, and Speed.

An object travels 40 miles in 2 hrs. Calculate its speed?

Speed Formula Quarter 4.

Speed, Distance, Time Calculations

Lesson Quizzes Standard Lesson Quiz

Packet #4 Average Rate of Change

Flaws of the Apportionment Methods

Presentation transcript:

Dean’s Method

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

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

What is Apportionment?

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

75 Seats Open

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

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 /a N ) ****N is the number of numbers ****a’s are your actual values

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

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

Simple Example = 1.92

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

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

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

Harmonic Mean Example & Check speed of 4.5 mph 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

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

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

75 Seats Open

1,052,567 / 75 = Quotas Round Total76 New divsor = Webster 75 Seats Open

Webster 1,052,567 / 75 = Quotas RoundN.QInitial Total76 75 New divsor = Seats Open

Webster 1,052,567 / 75 = Quotas RoundN.QInitial Total76 75 New divsor = Seats Open

Deans 1,052,567 / 75 = Quotas Total76 New divsor = Seats Open