Average Deviation Equation

The average deviation is also called as average absolute deviation. Average deviation is  the deference between the individual values and average of the all values. The formula for the average deviation is

Average Deviation = (sum ( |x-barx|) )/ n

Where x is value appeared in given set of values and barx is mean of given set of values.

barx = "sum of all value"/"total number of values" .

Example for Average Deviation Equation:

Example:

Find the average deviation for the given set of values by using the equation 44, 59, 76, 48, 31.

Solution:

barx = "sum of all value"/"total number of values" .

barx = (44 + 59 + 76 + 48 + 31)/5

barx = 258/5

barx = 51.6

Average Deviation = (sum ( |x-barx|)) / n

Average Deviation = 63.6 / 5

Average Deviation = 12.72
Practice Problem for Average Deviation Equation:

Problem 1:

Find the average deviation for the given set of values by using the equation 25, 50, 75, 100, 150.

Solution:

Average Deviation = 40

Problem 2:

Find the average deviation for the given set of values by using the equation 12, 6, 7, 3, 15, 10, 18, 5.

Solution:

Average Deviation = 4.25

Problem 3:

Find the average deviation for the given set of values by using the equation 15, 19, 17, 18, 16.

Solution:

Average Deviation = 1.2

Problem 4:

Find the average deviation for the given set of values by using the equation 3, 5, 9, 7, 4, 10, 12, 2.

Solution:

Average Deviation = 3

Problem 5:

Find the average deviation for the given set of values by using the equation 39, 35, 34.

Solution:

Average Deviation = 2