Question

What is the mean absolute deviation of the following set of data?
8, 10, 10, 8

Answer 1

To find the mean absolute deviation (MAD), we need to first find the mean of the data set:

Mean = (8 + 10 + 10 + 8) / 4 = 9

Next, we subtract the mean from each data point and take the absolute value:

|8 - 9| = 1

|10 - 9| = 1

|10 - 9| = 1

|8 - 9| = 1

Then, we find the mean of these absolute deviations:

MAD = (1 + 1 + 1 + 1) / 4 = 1

Therefore, the mean absolute deviation of the data set is 1.