How to Calculate an Average of Averages Correctly
Learn the correct method to calculate an average of averages by summing numerators and denominators for an accurate overall average.
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Yes, you can calculate an average of averages, but it's important to do so correctly. Sum the individual numerators and denominators from each average, then divide the total numerator by the total denominator. This ensures the overall average is accurate and not skewed.
FAQs & Answers
- Can you simply average averages to get a final average? No, simply averaging averages can lead to inaccurate results. Instead, sum the total numerators and denominators from each group and then divide to get the correct overall average.
- Why is averaging averages sometimes misleading? Because different groups may have different sizes or denominators, averaging their averages without weighting skews the final result.
- What is the correct approach to calculate an overall average from group averages? Add all the individual data points' values (numerators) and their counts (denominators) across groups, then divide the total sum of values by the total sum of counts.