Mean absolute deviation 21,10,15,19,8,17,15

First we find the mean (average) by adding up all the numbers and dividing by how many numbers there are.

(21 + 10 + 15 + 19 + 8 + 17 + 15) / 7 = 105 / 7 = 15

now we find the absolute value of the difference between the data set and the mean

| 21 - 15 | = 6

|10 - 15 | = 5

|15 - 15 | = 0

|19 - 15 | = 4

|8 - 15 | = 7

| 17 - 15 | = 2

| 15 - 15 | = 0

now we find the mean (average) of these numbers

(6 + 5 + 0 + 4 + 7 + 2 + 0) / 7 = 24/7 = 3.43 < = = = the MAD