The list shows the maximum flying speeds of the 10 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 of a set of data, we need to calculate the average of the absolute differences between each data point and the mean of the set.
First, find the mean of the data set:
(88 + 72 + 77 + 95 + 65 + 80 + 70 + 106 + 65 + 68) / 10 = 77.6
Second, find the absolute difference between each data point and the mean:
|88 - 77.6| = 10.4
|72 - 77.6| = 5.6
|77 - 77.6| = 0.6
|95 - 77.6| = 17.4
|65 - 77.6| = 12.6
|80 - 77.6| = 2.4
|70 - 77.6| = 7.6
|106 - 77.6| = 28.4
|65 - 77.6| = 12.6
|68 - 77.6| = 9.6
Third, calculate the average of these absolute differences:
(10.4 + 5.6 + 0.6 + 17.4 + 12.6 + 2.4 + 7.6 + 28.4 + 12.6 + 9.6) / 10 = 10.72
Therefore, the mean absolute deviation of the set of data is 10.72.