mcm1998B Grade Inflation 考分等级划分美国数学建模 - matlab数学建模

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标题：mcm1998B Grade Inflation 考分等级划分美国数学建模
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所属分类: 数学建模资源类型：文档文件大小: 7.84 KB 上传时间: 2019-08-19 20:58:29 下载次数: 68 资源积分：1分提供者: jiqiren mcm1998B Grade Inflation 考分等级划分

内容：
(MCM 1998B)

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 in 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 students' 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.

成绩给分的通胀(美国竞赛1998年B题)

背景

一些行政领导很为A Better class(ABC)学院的成绩给分担扰。平均说来，ABC学院的教师一直在给高分(现在给出的平均成绩分数为A-)，从而不可能区分好学生和中等水平的学生。金额很大的奖学金只能资助班上前10%的学生，因而要对班上的学生排名次。

院长有一想法：把班上每个学生和其他学生进行比较，并用比较获得的信息来排名次。例如，若某个学生得分为A而全班学生都得A，那么这个学生只能属于这个班上的“平均水平”。另一方面，如果班上只有一个学生得A，那么这个学生显然在“平均水平之上”，结合几门课中得到的比较信息就能把全校的学生按十分位数排名次(前l0%。次l0%，……，等等)。

问题

假定给出的成绩记分为(A+，A，A-,B+,…）院长的想法能否实现?

假定给出的成绩记分只有(A、B，C…）院长的想法能否实现?

有没有其他能给出名次排列的方案?一种担心是，一个班级的成绩记分可能会改变许多学生的十分位数的排名次。可能出现这种情况吗?

数据集

参赛队要设计用以测试并论证其算法的数据集，参赛队还应叙述限制其算法有效性的数据集的特征。

文件列表（点击上边下载按钮，如果是垃圾文件请在下面评价差评或者投诉）:

mcm1998B Grade Inflation 考分等级划分 .doc

关键词： mcm1998B Grade Inflation 考分等级划分 美国数学建模

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