Find the MAD of the following test scores: 70, 75, 75, 78, 80

Answer 1

To find the Mean Absolute Deviation (MAD) of these test scores, we must first find the mean of the scores:

(70 + 75 + 75 + 78 + 80) / 5 = 75.6

Next, we calculate the deviation of each score from the mean:

|70 - 75.6| = 5.6
|75 - 75.6| = 0.6
|75 - 75.6| = 0.6
|78 - 75.6| = 2.4
|80 - 75.6| = 4.4

Now, we find the average of these deviations to get the Mean Absolute Deviation:

(5.6 + 0.6 + 0.6 + 2.4 + 4.4) / 5 = 2.72

Therefore, the Mean Absolute Deviation of the test scores is 2.72.