1998_年美国大学生数学建模竞赛_mcm_试题

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--- 1998_年美国大学生数学建模竞赛_mcm_试题 [2008/02/08 16:12]
amao
+++ 1998_年美国大学生数学建模竞赛_mcm_试题 [2014/12/30 22:36] (当前版本)
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 ===== 1998 MCM B: Grade Inflation =====
+Background
+Some college administrators are concerned about the grading at A Better Class (ABC) college. On average, the faculty at ABC have been giving out high grades (the average grade now given out is an A-), and it is impossible to distinguish between the good and mediocre students. The terms of a very generous scholarship only allow the top 10% of the students to be funded, so a class ranking is required.
+The dean had the thought of comparing each student to the other students in each class, and using this information to build up a ranking. For example, if a student obtains an A in a class in which all students obtain an A, then this student is only "average" in this class. On the other hand, if a student obtains the only A is a class, then that student is clearly "above average." Combining information from several classes might allow students to be placed in deciles (top 10%, next 10%, etc.) across the college.
+Problem
+Assuming that the grades given out are (A+, A, A-, B+,...), can the dean's idea be made to work? Assuming that the grades given out are only (A,B,C,...), can the dean's idea be made to work? Can any other schemes produce a desired ranking? A concern is that the grade in a single class could change many student's deciles. Is this possible?
+Data Sets
+Teams should design data sets to test and demonstrate their algorithms. Teams should characterize data sets that limit the effectiveness of their algorithms.

1998_年美国大学生数学建模竞赛_mcm_试题.1202458333.txt.gz · 最后更改: 2014/12/30 22:35 (外部编辑)