While the arithmetic means show higher efficiency for Machine B, the geometric means show that Machine B is more efficient. Now you compare machine efficiency using arithmetic and geometric means. To find the mean efficiency of each machine, you find the geometric and arithmetic means of their procedure rating scores. You compare the efficiency of two machines for three procedures that are assessed on different scales. Example: Geometric mean of widely varying values ![]() The average voter turnout of the past five US elections was 54.64%. Step 2: Find the nth root of the product ( n is the number of values). ![]() Step 1: Multiply all values together to get their product. You’re interested in the average voter turnout of the past five US elections. We’ll walk you through some examples showing how to find the geometric means of different types of data. ![]() While the arithmetic mean is appropriate for values that are independent from each other (e.g., test scores), the geometric mean is more appropriate for dependent values, percentages, fractions, or widely ranging data. Because these types of data are expressed as fractions, the geometric mean is more accurate for them than the arithmetic mean. The geometric mean is best for reporting average inflation, percentage change, and growth rates.
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