Grad school applications are often competitive. There is competition among stude
ID: 3130110 • Letter: G
Question
Grad school applications are often competitive. There is competition among students from different Universities and even well-qualified students may miss out due to a variety of factors. Suppose the GPAs of 5 different applicants are 3.7, 3.84, 3.92, 4.2, and 3.6 (all GPAs out of 4). You are asked to rank the students for admission. Since they come from different Universities, and each University has a different level of “difficulty” in their grading schemes, you need to do a fair job of ranking. You are given the means and variances in GPAs for each University as:
Means
3.5
3.6
3.8
3.9
3.7
Variances
0.25
0.16
0.09
0.36
0.04
Describe how you will do the ranking of the students based on what we have done in class. Start with your assumption about the distribution of GPAs. Give the final ranking of the students based on this method and explain in 1 or 2 sentences why the raw GPAs were not enough.(5 points)
Means
3.5
3.6
3.8
3.9
3.7
Variances
0.25
0.16
0.09
0.36
0.04
Explanation / Answer
AS THE APPLICANT ARE FROM DIFFERENT UNIVERSITY AND THEY HAVE DIFFERENT LEVEL OF DIFFICULTY IN EXAM THE RANK WILL BE GIVEN TO THOSE WHO SCORED ABOVE THE MEAN SCORE OF THERE UNIVERSITY. ALSO TO MIND HERE THAT IF THE MEAN SCORE IS LESS MEANS THAT THE EXAM LEVEL WAS DIFFICULT AND IF THE MEAN IS HIGH THEN THE EXAM LEVEL WAS EASY.
BASED ON THIS ANALYSIS THE 1ST RANK WILL BE GIVEN TO STUDENT HAVING GPA = 3.7
2ND RANK TO GPA = 3.84
3RD RANK = GPA = 4.2
4TH RANK TO GPA = 3.92
5TH RANK TO GPA = 3.6 ( HE IS THE ONLY ONE WHO SCORED LESS THEN THE MEAN)
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