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?
please get this right and double check......
To find the mean absolute deviation of the set of data, we first need to find the mean of the data set:
(88 + 72 + 77 + 95 + 65 + 80 + 70 + 106 + 65 + 68) / 10 = 786 / 10 = 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 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 = 9.6
Therefore, the mean absolute deviation of the set of data is 9.6.