Apet store has eight cats. the weights of the cats, in pounds, are:

12,11,6,10,5,13,6,9

what is the mean absolute deviation (mad)?
use the calculator to solve. click the calculator button below.

Explanation:

Original set = {12, 11, 6, 10, 5, 13, 6, 9}

n = 8 is the number of values in that set above

Add up the values 12+11+6+10+5+13+6+9 = 72

Divide that sum by n = 8 to get 72/8 = 9. So the mean = 9

For each value in the original set {12, 11, 6, 10, 5, 13, 6, 9} subtract off the mean = 9. Apply the absolute value to ensure the result is positive or zero

|x - mean| = |12 - 9| = 3

|x - mean| = |11 - 9| = 2

|x - mean| = |6 - 9| = 3

|x - mean| = |10 - 9| = 1

|x - mean| = |5 - 9| = 4

|x - mean| = |13 - 9| = 4

|x - mean| = |6 - 9| = 3

|x - mean| = |9 - 9| = 0

The set of results we get are: {3, 2, 3, 1, 4, 4, 3, 0} which adds up to 3+2+3+1+4+4+3+0 = 20, then we divide that over n = 8 to get 20/8 = 2.5

Therefore the mean absolute deviation (MAD) is 2.5