How to Calculate Dispersion

••• Ridofranz/iStock/GettyImages

Dispersion is a statistical calculation that allows you to tell how far apart your data is spread. Many different ways are available to calculate dispersion, but two of the best are the range and the average deviation. The range is the difference between the highest and lowest value of your statistics. Your average deviation looks at your mean and how each data point differs from the mean.


    Find your data's lowest number. For example, assume the lowest value is 4.

    Find your data's highest value. In the example, assume the highest is 10.

    Subtract the lowest value from the highest value to calculate range. In the example, the range is 10 minus 4, which equals 6.

Average Deviation

    Calculate your average by adding up all your data values and divide by the number of data values. For example, assume your data values are 4, 8 and 10. Then, 4 plus 7 plus 10 equals 22. Finally, 22 divided by 3 equals an average of 7.33.

    Subtract your values from the average. If the number is a negative, then drop the negative sign. In the example, 10 minus 7.33 equals 2.66, 7 minus 7.33 equals -0.33 and 4 minus 7.33 equals -3.33. So you have 2.66, 0.33 and 3.33. These are your differences from the mean.

    Add together your differences from the mean and divide by the number of data values you have. In the example, 2.66 plus 0.33 plus 3.33 equals 6.32. Then, 6.32 divided by 3 equals an average deviation of 2.106.

Related Articles

Montessori-Inspired Toys & Kits for Your Little Scientist
How to Calculate Mean Deviation
Definition of Mean, Median & Mode
How to Determine the Assumed Mean
How to Calculate the Confidence Interval of the Mean
How to Calculate Precision
How to Calculate the Interquartile Range
How to Calculate the Distribution of the Mean
How to Solve for Range
How to Calculate Average Deviation From the Mean
How to Find the Average of Integers
How to Calculate Statistical Mean
How to Calculate Percent Relative Range
How to Calculate Range Spread
How to Solve Inequalities
How to Calculate Relative Dispersion
How to Find Linear Functions
How to Calculate a Sigma Value
How to Calculate CV Values
How to Calculate RSD
How to Calculate Trimester GPA