What Is the Mean Percentage Difference?

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Mean percentage difference is the average of the percentage differences between two results observed over a set number of times. You might use mean percentage difference in laboratory experiments or in observations or everyday occurrences such as temperature readings between two different periods.

Calculating Percentage

Percentage is a fraction of the number 100. For example, if you have one half of a project done, you have 50 percent (1/2 = 50/100) of the project done. If you knock down seven pins out of 10 at bowling, you've knocked down 70 percent (7/10 = 70/100) of the pins.

Calculating Percentage Difference

The percentage difference is the difference between the new value and the old value, divided by the old value. For example, if the temperature Sept. 30, 2000 was 78 degrees and 81 degrees Sept. 30, 2010, the percentage difference is (81 - 78) / 78, which equals 0.0385, or 3.85 percent.

Calculating the Mean

The mean is the average of a series of results. For example, if you calculated percentage differences in temperature over four days between September 2000 and September 2010, and your results were 3.85, 3.66, 3.49 and 3.57 percent, the mean percentage difference would be the average of those four readings and equal the sum of the differences (14.57 percent) divided by the number of readings (4), giving you a mean percentage difference of 14.57 percent / 4 = 3.64 percent.

References

About the Author

Philippe Lanctot started writing for business trade publications in 1990. He has contributed copy for the "Canadian Insurance Journal" and has been the co-author of text for life insurance company marketing guides. He holds a Bachelor of Science in mathematics from the University of Montreal with a minor in English.

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