An organization is trying to choose their next president. The results are as follows:  # votes 12 10 8 5 1st choice Ivan Freda Chris Chris 2nd choice Freda Ivan Freda Ivan 3rd choice Chris Chris Ivan Freda (a) Which candidate wins by plurality? (3 pts.) (b) Which one wins by the Instant Runoff Voting? (4 pts.) (c) Is there a Condorcet winner? If so, identify the candidate. (3 pts.) Write ONLY your answers in the box below. On your own paper, show all your work and justify your answers. You will be submitting the paper at the end of this test. Credit will not be given unless you show your work. 

The answer to the question “What is your age?” is a quantitative type of data.

Five people reported how many times they got sick last year. The answers were as follows:  {4, 0, 3, 1, 1} What is the median?

Five people reported how many times they got sick last year. The answers were as follows:  {6, 2, 1, 2, 0} What is the median?

Which one of the following is an approximate value of the Golden Ratio”

If you randomly split the subject group (patients) into a control group and a treatment group, where the control group gets a placebo, you are conducting an experiment.

Based on the Richter scale, a magnitude 4.0 earthquake has 100 times as much energy as a magnitude 2.0 earthquake.

Which one of the following is logically equivalent to the statement “If you are under 16, you cannot drive”?

A bakery shop sells five different cakes, but you can buy only two. There are ways to choose the two cakes out of the five available. (Assume you are choosing two DIFFERENT cakes… no repetition. The order in which you buy them is clearly not important.)

Find the negation of the statement “No one needs to get vaccinated.”