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This post addresses arithmetic and geometric averages.

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Please define in your own terms the difference between arithmetic and geometric averages. Next please give an examples of each that shows how you calculate the difference.

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The solution provides a detailed discussion with references examining the difference between arithmetic and geometric averages and also provides several examples of each that shows how you calculate the difference.

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An arithmetic average is a number that is purely numbers-based, and it's very straightforward. For example, if we wanted to find the averages of student ages, we would take all of the student ages in the sample. There would be various ages, including 30, 25, 19, 22, 26. Out of that set of numbers, we want to find the arithmetic average. We add all of the numbers together, to get 30 + 25 + 19 + 22 + 26, which equals 122. We have a set of five ages in our group, so we divide 122 by 5 to get 122/5 = 24.4. We now know that our average student age equals 24.4. We can do the same with grades. If I take ...

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