The mean of the following data set is 8. Find the mean absolute deviation of the data set.
{5.8, 7, 8.1, 9.2, 9.9}
First, find the absolute deviation for each data point from the mean:
|5.8 - 8| = 2.2
|7 - 8| = 1
|8.1 - 8| = 0.1
|9.2 - 8| = 1.2
|9.9 - 8| = 1.9
Next, find the mean of these absolute deviations:
(2.2 + 1 + 0.1 + 1.2 + 1.9) / 5 = 6.4 / 5 = 1.28
The mean absolute deviation of the data set is 1.28.