Mean Absolute Deviation or MAD is the mean of the difference of the numbers from the mean.
So first let's find the mean.
Data:
2, 10, 16, 21, 27, 38
Add them up and divide by how many there are:
2 + 10 + 16 + 21 + 27 + 38 = 114
114 / 6 = 19
So the mean is 19.
Now subtract the values from 19.
38 - 19 = 19
27 - 19 = 8
21 - 19 = 2
19 - 16 = 3
19 - 10 = 9
19 - 2 = 17
Find the mean of these differences.
19 + 8 + 2 + 3 + 9 + 17 = 58
58 / 6 ≈ 9.7