What is the mean absolute deviation of the following set:
{6, 4, 12, 14}
First, we find the mean of the set by adding up all the numbers and dividing by the total number of numbers:
Mean = (6 + 4 + 12 + 14) / 4 = 36 / 4 = 9
Next, we find the deviation of each number from the mean:
Deviations from mean: |6 - 9| = 3, |4 - 9| = 5, |12 - 9| = 3, |14 - 9| = 5
Then, we find the mean of the deviations:
Mean deviation = (3 + 5 + 3 + 5) / 4 = 16 / 4 = 4
Therefore, the mean absolute deviation of the given set {6, 4, 12, 14} is 4.