To find the MAD (Mean Absolute Deviation), we first need to find the mean of the data set:
(55 + 60 + 70 + 70 + 75 + 75 + 75 + 80 + 80 + 85 + 85 + 85 + 85 + 90 + 90 + 95 + 100) / 17 = 82.35
Next, we find the absolute difference between each data point and the mean:
|55 - 82.35| = 27.35
|60 - 82.35| = 22.35
|70 - 82.35| = 12.35
|70 - 82.35| = 12.35
|75 - 82.35| = 7.35
|75 - 82.35| = 7.35
|75 - 82.35| = 7.35
|80 - 82.35| = 2.35
|80 - 82.35| = 2.35
|85 - 82.35| = 2.65
|85 - 82.35| = 2.65
|85 - 82.35| = 2.65
|85 - 82.35| = 2.65
|90 - 82.35| = 7.65
|90 - 82.35| = 7.65
|95 - 82.35| = 12.65
|100 - 82.35| = 17.65
Then, we find the sum of these absolute differences:
27.35 + 22.35 + 12.35 + 12.35 + 7.35 + 7.35 + 7.35 + 2.35 + 2.35 + 2.65 + 2.65 + 2.65 + 2.65 + 7.65 + 7.65 + 12.65 + 17.65 = 152.45
Finally, we find the MAD by dividing this sum by the number of data points:
MAD = 152.45 / 17 = 8.97
Therefore, the MAD for the science test scores is 8.97.