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, first, we 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 calculate the 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 deviations:
(9.4 + 6.6 + 1.6 + 16.4 + 13.6 + 1.4 + 8.6 + 27.4 + 13.6 + 10.6) / 10
98.2 / 10
9.82
Therefore, the mean absolute deviation of the set of data is 9.82.