A middle school wants to start tracking their math students. They want the students with the top 16% of averages to be in advanced math, the middle 68% of students to be in the regular level math class, and the students with the lowest 16% of classes to be in a remedial class section.

Question:

If the mean math average for the school is 75 with a standard deviation of 9 points, what are the cut off averages for the advanced and remedial classes?