Mean Absolute Deviation Calculator

A measure used to find how much the values in a data set vary from their mean is called as the mean absolute deviation. It is also termed as mean deviation or average absolute deviation. It can be calculated by finding the mean of the values first and then find the difference between each value and the mean. Take the absolute value of each difference and find the mean of the difference, which is termed as MAD. Find the MAD of a data set using this mean absolute deviation calculator.

MAD Calculator

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Formula:

Mean = Sum of values entered / n Mean deviation formula Where, x = data X̄ = Mean n = Number of values MAD = Mean absolute deviation

Example:

Find the MAD of 2,4,6,8

Step 1 :

Find the mean of the data :
(2+4+6+8) / 4 = 20/4 = 5

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.

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