Question

What is the mean absolute deviation of the following set:






What is the mean absolute deviation of the following set:

{3, 1, 5, 4, 8, 6}


a. 27


b. 1.8333333333333333333333333333333


c. 4.5


d. 11

Answer 1

To find the mean absolute deviation (MAD) of a set, you need to calculate the absolute difference between each value and the mean of the set, then find the average of those differences.

First, find the mean of the set:
Mean = (3 + 1 + 5 + 4 + 8 + 6) / 6 = 27 / 6 = 4.5

Next, find the absolute difference between each value and the mean:
|3 - 4.5| = 1.5
|1 - 4.5| = 3.5
|5 - 4.5| = 0.5
|4 - 4.5| = 0.5
|8 - 4.5| = 3.5
|6 - 4.5| = 1.5

Now, find the average of these absolute differences:
(1.5 + 3.5 + 0.5 + 0.5 + 3.5 + 1.5) / 6 = 10.5 / 6 = 1.75

Therefore, the mean absolute deviation of the set {3, 1, 5, 4, 8, 6} is 1.75.

None of the answer choices given match the calculated MAD, so none of the options are correct.