Question

What is the mean absolute deviation of the following data set?



Bob scored: 80, 90, 95, 85, & 70

Answer 1

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

Mean = (80 + 90 + 95 + 85 + 70) / 5 = 420 / 5 = 84

Next, we subtract the mean from each value in the data set and find the absolute value of the difference:

|80 - 84| = 4
|90 - 84| = 6
|95 - 84| = 11
|85 - 84| = 1
|70 - 84| = 14

Then, we find the average of these absolute differences:

(4 + 6 + 11 + 1 + 14) / 5 = 36 / 5 = 7.2

Therefore, the mean absolute deviation of the data set is 7.2.