88 72 77 95 65 80 70 106 65 68

Question

What is the mean absolute deviation of the set of data

Answer 1

The mean of the data set is:

(88 + 72 + 77 + 95 + 65 + 80 + 70 + 106 + 65 + 68) / 10 = 76

Next, we calculate the absolute deviation of each data point from the mean:

|88 - 76| = 12
|72 - 76| = 4
|77 - 76| = 1
|95 - 76| = 19
|65 - 76| = 11
|80 - 76| = 4
|70 - 76| = 6
|106 - 76| = 30
|65 - 76| = 11
|68 - 76| = 8

Then, we calculate the mean of these absolute deviations:

(12 + 4 + 1 + 19 + 11 + 4 + 6 + 30 + 11 + 8) / 10 = 10.6

Therefore, the mean absolute deviation of the data set is 10.6.