What is the mean absolute deviation of the following data set?
Bob scored: 80, 90, 95, 85, & 70
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.