What is the mad of the data?

6, 15, 7, 14, 11, 13, 15, 15

I think 1) Find the mean, 2) subtract each # in the list from that mean 3) find the mean of those #s and that's the Mad. I've done this and my answer is not an option on the multiple choice.

PLEASE HELP

Please post your options.

mean = (6+15+7+14+11+ 13 + 15 +15)/8 = 12

Median: arranged number from smallest to largest

6 7 11 13 14 15 15 15
Median: (13+14)/2 = 27/2 =13.5
Mode: 15

a) 2

b) 3
c) 8
d) 12

I figured it out - the answer is 3. I hope.

To find the median absolute deviation (MAD) of a set of data, you are correct that you need to follow a three-step process:

Step 1: Find the mean of the data. To do this, add up all the numbers in the list and divide the sum by the total count. Let's calculate the mean:

(6 + 15 + 7 + 14 + 11 + 13 + 15 + 15) / 8 = 96 / 8 = 12

So the mean of the data is 12.

Step 2: Subtract each number in the list from the mean you calculated in step 1. This will give you a list of deviations from the mean. Let's find the deviations:

(6 - 12) = -6
(15 - 12) = 3
(7 - 12) = -5
(14 - 12) = 2
(11 - 12) = -1
(13 - 12) = 1
(15 - 12) = 3
(15 - 12) = 3

So the deviations from the mean are: -6, 3, -5, 2, -1, 1, 3, 3.

Step 3: Find the mean of the absolute values of the deviations calculated in step 2. To do this, take the absolute value of each deviation, add them up, and divide by the total count. Let's calculate the MAD:

(|-6| + |3| + |-5| + |2| + |-1| + |1| + |3| + |3|) / 8
(6 + 3 + 5 + 2 + 1 + 1 + 3 + 3) / 8
24 / 8 = 3

Therefore, the MAD of the data set (6, 15, 7, 14, 11, 13, 15, 15) is 3.