Teachers are being trained to standardize the scores they give to students' essays. The same essay was scored by 10 different teachers at the beginning and at the end of their training. The results are shown in the tables.
Scores for Essay at Beginning of Teachers' Training
75
78
85
79
90
86
85
77
88
77
Scores for Essay at End of Teachers' Training
80
81
83
81
78
84
82
80
78
83
Calculate the MADs for the teachers' scores. Did the teachers make progress in standardizing their scores?
, the MAD before the training was and the MAD at the end of the training is , so was made toward standardizing test scores.