QUANTITIVE REASONING

MATH-1030-350-806-F17-Nelson

Course Reflection

This class went through using mathematics in everyday activities. We learned how to calculate different geometrical and trigonometric equations to use in daily activities such as yard work, building furniture, etc. We also learned how to calculate the best ways to save money, e.g. if driving to a store that has food that cost less than a store that is closer but has food that cost more. We learned about annuity, compounding interest and other financial equations. One of the major things we learned about is collecting data and analyzing that data using probability and normal distribution. The biggest thing I learned in this class is that math is everywhere in our daily lives whether we want it to be or not. The best thing to do is use it to your advantage to make things easier. If life gives you lemons, you make lemonade. If life gives you math, you analyze it and make decisions based on the charts, graphs and calculations you performed.

Signature Assignment




The Iowa Caucuses

Voting Project


Part I: Iowa Caucuses Research:


The Iowa Caucus has played an important role since 1972. The Iowa caucus has successfully predicted the election outcome of the Republican and Democratic parties about 46.5% of the time.


Part II: Imagine you live in Mason City, Iowa and attend a Republican caucus for Precinct W1-P2 at the Highland Golf Course. The meeting organizers ask the voters to select their preferences for four candidates. The following preference schedule summarizes the results of the poll.


# Voters 19 6 36 39
1st B R C T
2nd R B C T
3rd C R B T
4th T R C B

B is Jeb Bush, C is Ted Cruz, R is Marco Rubio, and T is Donald Trump


Analysis:
  • 100 people voted and Trump is the Plurality Method winner.
  • Ted Cruz is the Instant Runoff winner.
  • Borda Count Scores:
    • Jeb Bush: 205
    • Ted Cruz: 272
    • Marco Rubio: 306
    • Donald Trump: 217
    • Marco Rubio is the Borda Count winner
    Copeland's Method Scores:
    • Jeb Bush: 1
    • Ted Cruz: 2
    • Marco Rubio: 3
    • Donald Trump: 0
    • Marco Rubio is the Copeland's Method winner.
  • There is no Condorcet candidate or Condorcet winner.

Part III: Determining the winner under the fairness criteria:


Since there is no Condorcet candidate, Majority winner, and the election is Monotonicity; then Donald Trump would be the winner by the Pluraity Method since it does not violate any of the above criteria.