Question

What is the mean absolute deviation of the following set:



{5, 12, 19, 4, 23, 33}

Answer 1

To find the mean absolute deviation, we first find the mean of the set. Adding up all the numbers given, we get: 5 + 12 + 19 + 4 + 23 + 33 = 96.

Since there are 6 numbers in the set, the mean is 96 ÷ 6 = 16.

Next, we find the deviation of each number from the mean by subtracting the mean from each number in the set:

|5 - 16| = 11
|12 - 16| = 4
|19 - 16| = 3
|4 - 16| = 12
|23 - 16| = 7
|33 - 16| = 17

Adding up all the deviations, we get: 11 + 4 + 3 + 12 + 7 + 17 = 54.

Since there are 6 numbers in the set, the mean absolute deviation is 54 ÷ 6 = 9.

Therefore, the mean absolute deviation of the set {5, 12, 19, 4, 23, 33} is 9.