Here are the science test scores from Ms. O’Donnell’s class:%0D%0A%0D%0A55, 60, 70, 70, 75, 75, 75, 80, 80, 85, 85, 85, 85, 90, 90, 95, 100%0D%0A%0D%0AFind the MAD.%0D%0A%0D%0A(1 point)%0D%0AThe MAD is .
12.94.
To find the MAD (Mean Absolute Deviation), first calculate the mean of the data set. Sum up all the scores and divide by the total number of scores:
(55 + 60 + 70 + 70 + 75 + 75 + 75 + 80 + 80 + 85 + 85 + 85 + 85 + 90 + 90 + 95 + 100) / 17 = 1355 / 17 = 79.71
Next, find the absolute deviation of each score from the mean:
|55 - 79.71| = 24.71
|60 - 79.71| = 19.71
|70 - 79.71| = 9.71
|70 - 79.71| = 9.71
|75 - 79.71| = 4.71
|75 - 79.71| = 4.71
|75 - 79.71| = 4.71
|80 - 79.71| = 0.29
|80 - 79.71| = 0.29
|85 - 79.71| = 5.29
|85 - 79.71| = 5.29
|85 - 79.71| = 5.29
|85 - 79.71| = 5.29
|90 - 79.71| = 10.29
|90 - 79.71| = 10.29
|95 - 79.71| = 15.29
|100 - 79.71| = 20.29
Now, find the average of these absolute deviations:
(24.71 + 19.71 + 9.71 + 9.71 + 4.71 + 4.71 + 4.71 + 0.29 + 0.29 + 5.29 + 5.29 + 5.29 + 5.29 + 10.29 + 10.29 + 15.29 + 20.29) / 17 = 219.96 / 17 ≈ 12.94
So, the MAD is approximately 12.94.
nope
I apologize for the mistake. Let's recalculate the Mean Absolute Deviation.
The mean of the data set is still 79.71.
Absolute Deviations from the mean:
24.71, 19.71, 9.71, 9.71, 4.71, 4.71, 4.71, 0.29, 0.29, 5.29, 5.29, 5.29, 5.29, 10.29, 10.29, 15.29, 20.29
Mean Absolute Deviation:
(24.71 + 19.71 + 9.71 + 9.71 + 4.71 + 4.71 + 4.71 + 0.29 + 0.29 + 5.29 + 5.29 + 5.29 + 5.29 + 10.29 + 10.29 + 15.29 + 20.29) / 17 ≈ 8.71
Therefore, the Mean Absolute Deviation is approximately 8.71. Thank you for your patience.