Don’t worry; we don’t do this sort of thing. We use criterion-referenced assessment, so your peers’ performance doesn’t affect your evaluation.
We looked at a question in class (page 431 #11) in which a professor was “belling” the marks. Madison asked if there were marks that would be shifted down as a result of the belling.
There are, sort of. Here’s the math.
Let’s call the original mark and the resultant mark . We want to know for which values of
In the belling process the -score is maintained for each grade; so
Solving for yields
Substituting into the inequality
which is, you know, impossible anyway. :)