The MAD value of the given data set is "3.2".
The average distance between each data value and the mean is defined as the mean absolute deviation of a data set. It is a measure of variation in a data set.
Calculation of the MAD value:
Given:
[tex]\to \{ 13, 6, 3, 7, 11\} \\\\[/tex]
Calculating the sum of the given value:
[tex]\to 13 + 6 + 3 + 7 + 11 = 40\\\\[/tex]
Calculating the average value:
[tex]\to \frac{40}{ 5} = 8\\\\[/tex]
Subtracting the average value from the given set:
[tex]\to 13 - 8 = 5\\\\\to 6 - 8 = | -2 | = 2\\\\\to 3 - 8 = | -5 | = 5\\\\\to 7 - 8 = | -1 | = 1\\\\\to 11 - 8 = 3\\\\[/tex]
Calculated set value:
[tex]\to 5, 2, 5, 1, 3\\\\[/tex]
Adding the set value:
[tex]\to 5 + 2 + 5 + 1 + 3 = 16[/tex]
Calculating the average value of the set:
[tex]\to \frac{16}{5} = 3.2\\\\[/tex]
So, the
[tex]\to \text{MAD} = 3.2[/tex]
Therefore, the final value of MAD is "3.2"
Find out more information about the MAD here:
brainly.com/question/452971
