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.
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
the bot is correct, thanks
for once (connexus) the bot is right