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taylorsmith2
Here is an example:
Find the MAD of 2,4,6,8 Step 1 : Find the mean of the data : (2+4+6+8) / 4 = 20/5 = 4 Step 2 : Find the distance between each data and mean. Distance between 2 and 5 is 3 Distance between 4 and 5 is 1 Distance between 6 and 5 is 1 Distance between 8 and 5 is 3
Step 3 : Add all the distances : 3+1+1+3 = 8
Step 4 : Divide it by the number of data : 8 / 4 = 2 2 is the average absolute deviation.

The mean absolute deviation of the data set is 2.5

What is mean absolute deviation?

'The mean absolute deviation is the mean distance between each data value and the mean of the data set.

According to the given problem,

Given data set = 12, 15, 7, 4, 9, 10, 9, 6

Mean of the data set = [tex]\frac{12+15+7+ 4+ 9+ 10+ 9+ 6}{8}[/tex]

                                   = 9

Now, distance of the man from the data points,

12 - 9 = 3

15 - 9 = 6

7 - 9 = -2

4 - 9 = 5

9 - 9 = 0

10 - 9 = 1

9 - 9 = 0

6 - 9 = -3

Since, this is the absolute value, we exclude the negative sign.

The data set of the distances = 3, 6, 2, 5, 0, 1, 0, 3

Mean = [tex]\frac{3+6+2+5+0+1+0+3}{8}[/tex]

         = 2.5

Hence, we can conclude, the mean absolute deviation of the given data set is 2.5.

Learn more about mean absolute deviation here: https://brainly.com/question/20638608

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