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Course allocation is the problem of allocating seats in university courses among students. Many universities impose an upper bound on the number of students allowed to register to each course, in order to ensure that the teachers can give sufficient attention to each individual student.
We also give a simple method to derive the joint distribution of any number of order statistics, and finally translate these results to arbitrary continuous distributions using the cdf. We assume throughout this section that X 1 , X 2 , … , X n {\displaystyle X_{1},X_{2},\ldots ,X_{n}} is a random sample drawn from a continuous distribution ...
The distribution of values in decreasing order of rank is often of interest when values vary widely in scale; this is the rank-size distribution (or rank-frequency distribution), for example for city sizes or word frequencies. These often follow a power law. Some ranks can have non-integer values for tied data values.
Class rank is a measure of how a student's performance compares to other students in their class. It is commonly also expressed as a percentile . For instance, a student may have a GPA better than 750 of their classmates in a graduating class of 800.
For students receiving financial aid, a grade of "W" may require the student to refund to the college all or part of their aid. Some schools indicate whether the student was passing or failing the course at the time of withdrawal by placing WP or WF grades on the transcript; policies vary as to whether a WF counts as an unsatisfactory grade ...
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the corresponding ranks are: 5, 6, 1, 2, 4, 3, i.e., the number appearing first is the 5th-smallest, the number appearing second is 6th-smallest, the number appearing third is smallest, the number appearing fourth is 2nd-smallest, etc. One rearranges the expected normal order statistics accordingly, getting the rankits of this data set:
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