Music to Study By

Frequently during our work time students ask to turn on the radio or play a tape. Inevitably there is a dispute as to what type of music should be played so that all students are comfortable. In the past I rotated the station and time allotted for each type in an effort to please all students. In the interest of fairness I want you as a class to decide this together. Hence, as a class, we need to consider each type and weigh it according to our own personal preferences.

The first step will be to vote on a rank-order of the categories. You will need to list your preference of this rank order. In particular, you will need to rank order the five selections (pop/rock, classical, oldies, country, R&B) from highest (5) to lowest (1). For example, someone might decide on the following preference:

3 Pop/rock
4 Classical
1 Oldies
5 Country
2 R&B

The person in the above example like country music the best the oldies the least.

Please list your preference for the rank-ordering of the music listed below:


       Pop/rock
       Classical
       Classical
       Oldies
       Country
       R&B

When everyone has completed their preference, please go to the board and write your individual ranking (since everyone has listed the requirements in the same order - given above- this should require listing only the digits from each person' preference). List all of the preferences on a sheet of paper.

Your small-group (three to four people) task is to determine a first-, second-, third-, fourth-, and fifth-ranked requirement for the ENTIRE class. You may use any method that is agreed upon by all of the members of your group. After all of the groups have finished, a spokesperson for each group will write the group's ranking on the board, present the group's decision tot he rest of the class, and explain the method (and reasoning) used to reach the decision. You may want to write down a description for each step of your method.


The Discrete Mathematics Project