I am given a data set containing the grades of students in s

I am given a data set containing the grades of students in some arbitrary class, and they come from a normally distributed population. I have to determine the cut-off points for A, B, C, D, and F based on the following rules:

1. the number of As have to equal the number of Ds and Fs.

2. The number of Bs has to equal the number of Cs.

How would I go about doing this?

Solution

THe given information can be represented in the plot as shown below: