How to Calculate Mean Deviation

••• Jupiterimages/liquidlibrary/Getty Images

Mean deviation is a statistical measure of the average deviation of values from the mean in a sample. It is calculated first by finding the average of the observations. The difference of each observation from the mean then is determined. The deviations then are averaged. This analysis is used to calculate how sporadic observations are from the mean.

    List data values in a column, for example:
    2 5 7 10 12 14

    Find the average of these values by adding them and then and dividing them by the number of values. In our example, the average is 8.3 (2+5+7+10+12+14=50, which is divided by 6).

    Find the difference between each value and the average. Using our example, the differences are: 2 - 8.3 = 6.3 5 - 8.3 = 3.3 7 - 8.3 = 1.3 10 - 8.3 = 1.7 12 - 8.3 = 3.7 14 - 8.3 = 5.7

    Calculate the average of the differences by adding them and dividing by the number of observations. The average of the differences in our example is 3.66: (6.3+3.3+1.3+1.7+3.7+5.7 divided by 6).

Related Articles

How to Find the Midpoint of Coordinates
How to Calculate Absolute Deviation (and Average Absolute...
How to Calculate Dispersion
How to Calculate the Standard Error of a Slope
How to Calculate Standard Errors
How to Find the Midpoint of Coordinates
Definition of Mean, Median & Mode
How to Calculate the Distribution of the Mean
How to Calculate Average Deviation From the Mean
How to Calculate Correlation
How to Calculate Precision
How to Calculate Variance From Standard Error
How to Calculate Average Current
How to Calculate a Cumulative Numerical Average
How to Find Standardized Values for Correlation
How to Find the Average of Integers
How to Calculate Relative Standard Error
How to Calculate Statistical Mean
How to Calculate Percent Relative Range
How to Calculate CV Values
How to Find Euclidean Distance