Question

Calculate the MADs for the teachers' scores. Did the teachers make progress in standardizing the scores?

Answer 1

The teacher made progress in standardizing the test scores from the beginning of the year to the end. The MAD tells us this because the difference in the teachers scores from the mean is less at the end.  The Mean Absolute Deviation is a measure of variability, and the smaller the number, the less variability there is in the answers.  So, in this example there are more scores closer to the average than when they first graded the essays.