Here are the science test scores from Ms. O’Donnell’s class: 55, 60, 70, 70, 75, 75, 75, 80, 80, 85, 85, 85, 85, 90, 90, 95, 100

Find the MAD.

3 answers

To find the Mean Absolute Deviation (MAD), we first need to find the mean of the test scores.

Mean = (55 + 60 + 70 + 70 + 75 + 75 + 75 + 80 + 80 + 85 + 85 + 85 + 85 + 90 + 90 + 95 + 100) / 17
Mean = 1310 / 17
Mean = 77.06

Next, we find the absolute deviations for each test score:

|55 - 77.06| = 22.06
|60 - 77.06| = 17.06
|70 - 77.06| = 7.06
|70 - 77.06| = 7.06
|75 - 77.06| = 2.06
|75 - 77.06| = 2.06
|75 - 77.06| = 2.06
|80 - 77.06| = 2.94
|80 - 77.06| = 2.94
|85 - 77.06| = 7.94
|85 - 77.06| = 7.94
|85 - 77.06| = 7.94
|85 - 77.06| = 7.94
|90 - 77.06| = 12.94
|90 - 77.06| = 12.94
|95 - 77.06| = 17.94
|100 - 77.06| = 22.94

Now we find the MAD:

MAD = (22.06 + 17.06 + 7.06 + 7.06 + 2.06 + 2.06 + 2.06 + 2.94 + 2.94 + 7.94 + 7.94 + 7.94 + 7.94 + 12.94 + 12.94 + 17.94 + 22.94) / 17
MAD = 155.94 / 17
MAD = 9.17

Therefore, the Mean Absolute Deviation (MAD) of the test scores is 9.17.
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