What is the mean absolute deviation of the following set:
{11, 9, 36, 28, 7, 41}
To find the mean absolute deviation, we first need to find the mean of the set.
Adding up all the numbers in the set, we get: 11 + 9 + 36 + 28 + 7 + 41 = 132.
Since there are six numbers in the set, the mean is 132 divided by 6, which is 22.
Next, we need to find the absolute deviation of each number from the mean.
The absolute deviations from the mean for each number are:
|11 - 22| = 11,
|9 - 22| = 13,
|36 - 22| = 14,
|28 - 22| = 6,
|7 - 22| = 15,
|41 - 22| = 19.
Finally, we find the mean of these absolute deviations by adding them up and dividing by the total number of numbers, which is 6.
(11 + 13 + 14 + 6 + 15 + 19) / 6 = 78 / 6 = 13.
Therefore, the mean absolute deviation of the set {11, 9, 36, 28, 7, 41} is 13.