Statistics
Geometric Mean Calculator
Use this geometric mean calculator for positive multiplicative data such as growth factors, rates, or index changes.
Separate values with commas, spaces, or semicolons.
Geometric mean
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- Count
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- Mean
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- Minimum
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- Maximum
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- Range
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- Sum of natural logs
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- Geometric mean
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Student quick launch
Grade planning, algebra checks, and formulas students reach for most.
Study path
Use this calculator with
Follow these when you want the formula behind the answer, a short lesson, or nearby tools in the same topic.
What the geometric mean calculator solves
Use this geometric mean calculator for positive multiplicative data such as growth factors, rates, or index changes.
Formula
How to use it
- Enter a dataset as numbers separated by commas, spaces, or semicolons.
- Choose sample or population when the statistic uses a different denominator.
- Use the sorted data, count, mean, and work lines to check the result.
How to read the answer
The geometric mean summarizes multiplicative change. For growth factors, subtract 1 and convert to percent to read the average growth rate.
Common mistakes and edge cases
- Do not use geometric mean with zero or negative values.
- Use arithmetic mean for ordinary additive data.
- Convert percentages to factors first when averaging growth rates.
Worked examples
Growth factors
Geometric mean
Geometric mean = 1.0515
Positive measurements
Geometric mean
Geometric mean = 8
Invalid zero
Geometric mean
Error
Frequently asked questions
When should I use geometric mean?+
Use it for multiplicative data such as growth factors, ratios, or index changes when every value is positive.
Why use logs?+
Logs avoid huge intermediate products and produce the same product-root result more safely.
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Last updated: May 15, 2026