1 answer
(click or scroll down)
To find the mean absolute deviation, first find the mean of the dataset:
(8.4 + 9.4 + 14.2 + 5.6 + 8.3 + 9.0 + 10.2) / 7 = 9.1
Next, subtract the mean from each data point, find the absolute value, and then find the mean of those absolute deviations:
|8.4 - 9.1| = 0.7
|9.4 - 9.1| = 0.3
|14.2 - 9.1| = 5.1
|5.6 - 9.1| = 3.5
|8.3 - 9.1| = 0.8
|9.0 - 9.1| = 0.1
|10.2 - 9.1| = 1.1
(0.7 + 0.3 + 5.1 + 3.5 + 0.8 + 0.1 + 1.1) / 7 = 1.5
Therefore, the mean absolute deviation of the dataset is 1.5 (rounded to the nearest tenth).