What is the mean absolute deviation of the following set:
{3, 1, 5, 4, 8, 6}
What is the mean absolute deviation of the following set:
{3, 1, 5, 4, 8, 6}
27
1.8333333333333333333333333333333
4.5
11
To find the mean absolute deviation (MAD) of a set of numbers, you need to find the average (mean) of the absolute differences between each number and the mean of the set.
First, find the mean of the set:
Mean = (3 + 1 + 5 + 4 + 8 + 6) / 6 = 4.5
Next, find the absolute differences between each number and the mean:
|3 - 4.5| = 1.5
|1 - 4.5| = 3.5
|5 - 4.5| = 0.5
|4 - 4.5| = 0.5
|8 - 4.5| = 3.5
|6 - 4.5| = 1.5
Calculate the average (mean) of these absolute differences:
Mean absolute deviation = (1.5 + 3.5 + 0.5 + 0.5 + 3.5 + 1.5) / 6 = 10.5 / 6 = 1.75
Therefore, the mean absolute deviation of the set {3, 1, 5, 4, 8, 6} is 1.75.