What is the Mean Absolute Deviation of the following set
{3, 8, 1, 5, 6}
4.6
10.4
5
2.08
To find the mean absolute deviation, we first need to calculate the mean of the set.
Mean = (3 + 8 + 1 + 5 + 6)/5 = 23/5 = 4.6
Next, we find the absolute deviation for each number in the set by taking the absolute value of the difference between each number and the mean:
|3-4.6| = 1.6
|8-4.6| = 3.4
|1-4.6| = 3.6
|5-4.6| = 0.4
|6-4.6| = 1.4
Then we calculate the average of these absolute deviations:
(1.6 + 3.4 + 3.6 + 0.4 + 1.4)/5 = 2.08
Therefore, the mean absolute deviation of the set is 2.08.