In a class of 100 students, 10 score at 20, 20 score at 40, 30 score at 60, and 40 score at 80. Because students did so poorly, the professor moves each score half way up toward 100 (so the students with 20 are moved up to 60). What is the average score in the class? Is the new average the old average moved half way to 100?
The above are similar to examples of weighted averages with absorption.
For Information: Exercise 4