Q:

What is the MAD of the data set? {13, 6, 3, 7, 11}Enter your answer in the box.

Accepted Solution

A:
The MAD value of the given data set is "3.2".Mean absolute deviation (MAD)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