What is the mean absolute deviation of the following set:
{85, 90, 68, 75, 82
To find the mean absolute deviation (MAD), we first need to find the mean of the set.
Mean = (85 + 90 + 68 + 75 + 82)/5 = 400/5 = 80
Now, we find the absolute deviation for each number by subtracting the mean from each number in the set:
|85 - 80| = 5
|90 - 80| = 10
|68 - 80| = 12
|75 - 80| = 5
|82 - 80| = 2
Next, we find the average absolute deviation by summing up these absolute deviations and dividing by the number of numbers in the set:
Average absolute deviation = (5 + 10 + 12 + 5 + 2)/5 = 34/5 = 6.8
Therefore, the mean absolute deviation of the given set is 6.8.