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, we first need to find the mean of the data set:
Mean = (88 + 72 + 77 + 95 + 65 + 80 + 70 + 106 + 65 + 68) / 10
Mean = 786 / 10
Mean = 78.6
Next, we find the absolute deviations of each data point from the mean:
|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
Now, we find the mean of these absolute deviations:
Mean absolute deviation = (9.4 + 6.6 + 1.6 + 16.4 + 13.6 + 1.4 + 8.6 + 27.4 + 13.6 + 10.6) / 10
Mean absolute deviation = 108.2 / 10
Mean absolute deviation = 10.82
Therefore, the mean absolute deviation of the data set is 10.82.