9.56.
To find the MAD (mean absolute deviation), first calculate the mean of the scores:
(55 + 60 + 70 + 70 + 75 + 75 + 75 + 80 + 80 + 85 + 85 + 85 + 85 + 90 + 90 + 95 + 100) / 17 = 81.18
Next, calculate the absolute deviations of each score from the mean:
55 - 81.18 = 26.18
60 - 81.18 = 21.18
70 - 81.18 = 11.18
70 - 81.18 = 11.18
75 - 81.18 = 6.18
75 - 81.18 = 6.18
75 - 81.18 = 6.18
80 - 81.18 = 1.18
80 - 81.18 = 1.18
85 - 81.18 = 3.82
85 - 81.18 = 3.82
85 - 81.18 = 3.82
85 - 81.18 = 3.82
90 - 81.18 = 8.82
90 - 81.18 = 8.82
95 - 81.18 = 13.82
100 - 81.18 = 18.82
Now, calculate the average of the absolute deviations:
(26.18 + 21.18 + 11.18 + 11.18 + 6.18 + 6.18 + 6.18 + 1.18 + 1.18 + 3.82 + 3.82 + 3.82 + 3.82 + 8.82 + 8.82 + 13.82 + 18.82) / 17 = 9.56
Therefore, the MAD is 9.56.
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.
(1 point)
The MAD is___
1 answer
1 answer