Question

The list shows the maximum flying speeds of the ten fastest birds worldwide.

88, 72, 77, 95, 65, 80, 70, 106, 65, 68

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


please get this right and double check

Answer 1

The mean absolute deviation (MAD) can be calculated by first finding the mean of the data set, then finding the absolute distance of each data point from the mean, finding the mean of those absolute distances, which is the MAD.

Mean = (88 + 72 + 77 + 95 + 65 + 80 + 70 + 106 + 65 + 68) / 10
Mean = 756 / 10
Mean = 75.6

Now, find the absolute distances from the mean for each data point:
|88 - 75.6| = 12.4
|72 - 75.6| = 3.6
|77 - 75.6| = 1.4
|95 - 75.6| = 19.4
|65 - 75.6| = 10.6
|80 - 75.6| = 4.4
|70 - 75.6| = 5.6
|106 - 75.6| = 30.4
|65 - 75.6| = 10.6
|68 - 75.6| = 7.6

Now, find the mean of those absolute distances:
(12.4 + 3.6 + 1.4 + 19.4 + 10.6 + 4.4 + 5.6 + 30.4 + 10.6 + 7.6) / 10
Mean = 106.0 / 10
Mean = 10.6

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