The list shows the maximum flying speeds of the ten fastest birds worldwide. %0D%0A%0D%0A88, 72, 77, 95, 65, 80, 70, 106, 65, 68%0D%0A%0D%0AWhat is the mean absolute deviation of the set of data?
To find the mean absolute deviation, follow these steps:
1. Find the mean (average) of the data set:
(88 + 72 + 77 + 95 + 65 + 80 + 70 + 106 + 65 + 68) / 10 = 76.6
2. Find the absolute deviation 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 average of these absolute deviations:
(11.4 + 4.6 + 0.4 + 18.4 + 11.6 + 3.4 + 6.6 + 29.4 + 11.6 + 8.6) / 10 = 10.5
Therefore, the mean absolute deviation of the set of data is 10.5.