whats the mean absolute deviation of
74, 81, 86, 92, 74, 85, 90, 89, 78, 80
82.9
8.29
5.5
55
To calculate the mean absolute deviation, first find the mean of the data set:
(74 + 81 + 86 + 92 + 74 + 85 + 90 + 89 + 78 + 80) / 10 = 829 / 10 = 82.9
Next, find the absolute deviation of each data point from the mean:
|74 - 82.9| = 8.9
|81 - 82.9| = 1.9
|86 - 82.9| = 3.1
|92 - 82.9| = 9.1
|74 - 82.9| = 8.9
|85 - 82.9| = 2.1
|90 - 82.9| = 7.1
|89 - 82.9| = 6.1
|78 - 82.9| = 4.9
|80 - 82.9| = 2.9
Now, calculate the mean of the absolute deviations:
(8.9 + 1.9 + 3.1 + 9.1 + 8.9 + 2.1 + 7.1 + 6.1 + 4.9 + 2.9) / 10 = 55 / 10 = 5.5
Therefore, the mean absolute deviation of the given data set is 5.5.