Please explain plurality and runoff methods of voting

A campus club needs to elect four officers: a president, a vice president, a secretary, and a treasurer. The club has five volunteers. Rather than vote individually for each position, the club members will rank the candidates in order of preference. The votes will then be tallied using the Borda Count method. The candidate receiving the highest number of points will be president, the candidate receiving the next highest number of points is vice president, the candidate receiving the next highest number of points is secretary, and the candidate receiving the next highest number of points will be treasurer.   Rankings Cynthia 4 2 5 2 3 Andrew 2 3 1 4 5 Jen 5 1 2 3 2 Hector 1 5 4 1 4 Medin 3 4 3 5 1 Number of votes: 9 12 25 24 23 For the preference schedule shown, determine who wins each position in the club. president            vice president            secretary            treasurer

The local newspaper selected 1500 residents of Claremore residents to poll about a proposed tax increase.   What is the population that they are studying?       What is the sample involved in the study?       If they chose to divide the city by elementary school attendance area and then contacted 7 people in each area asking whether they support the tax increase, what method of sampling would they be using?       If they placed a link on their website that interested parties could report whether they support the tax increase, what method of sampling would they be using?       Let’s assume that on that web page, there were 437 who supported the tax increase and 354 who did not. What is the sample proportion?

Select one of the following awards for this discussion: Academy Award for Best Picture Grammy Award for Best Album Heisman Trophy Nobel Peace Prize Pulitzer Price for Fiction For the award you selected, answer the following four questions: How are the nominees selected? Who votes? What type of voting is used? Remember the methods we studied in this unit - majority, plurality, plurality with elimination, Borda count method, Pairwise comparison method. Is one of these types of voting methods used or another method? Describe the method used. Who tabulates the results?