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 calculate the mean absolute deviation, we need to first calculate the mean of the data set.
Mean = (88 + 72 + 77 + 95 + 65 + 80 + 70 + 106 + 65 + 68) / 10
Mean = 786 / 10
Mean = 78.6
Now, we calculate the absolute deviations from the mean for each data point:
|88 - 78.6| = 9.4
|72 - 78.6| = 6.6
|77 - 78.6| = 1.6
|95 - 78.6| = 16.4
|65 - 78.6| = 13.6
|80 - 78.6| = 1.4
|70 - 78.6| = 8.6
|106 - 78.6| = 27.4
|65 - 78.6| = 13.6
|68 - 78.6| = 10.6
Next, we calculate the average of these absolute deviations:
(9.4 + 6.6 + 1.6 + 16.4 + 13.6 + 1.4 + 8.6 + 27.4 + 13.6 + 10.6) / 10
100.2 / 10
10.02
Therefore, the mean absolute deviation of the set of data is 10.02.