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?..
To find the mean absolute deviation (MAD), follow these steps:
1. Find the mean of the data set:
(88 + 72 + 77 + 95 + 65 + 80 + 70 + 106 + 65 + 68) / 10 = 76.6
2. Find the absolute deviations of each data point from the mean:
|88 - 76.6| = 11.4
|72 - 76.6| = 4.6
|77 - 76.6| = 0.4
|95 - 76.6| = 18.4
|65 - 76.6| = 11.6
|80 - 76.6| = 3.4
|70 - 76.6| = 6.6
|106 - 76.6| = 29.4
|65 - 76.6| = 11.6
|68 - 76.6| = 8.6
3. Find the mean of the absolute deviations:
(11.4 + 4.6 + 0.4 + 18.4 + 11.6 + 3.4 + 6.6 + 29.4 + 11.6 + 8.6) / 10 = 10.68
Therefore, the mean absolute deviation of the set of data is 10.68.