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Statistics calculator

Sample Geometric Mean Calculator

Calculate the geometric mean of positive sample values.

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How to use the sample geometric mean calculator

  1. Prepare the values for this calculation

    Calculate the geometric mean of positive sample values. Use the formula below to check that it answers your question. Read the input units before transferring figures from a statement, measurement or dataset.

  2. Enter and check each input

    • Data values: use the same separators and value order as the example in the input table. Replace the example data with your own complete dataset.

    The input table gives a complete example. Keep units and time periods consistent across related fields.

  3. Calculate and resolve any input error

    Choose Calculate after entering the values. Changes also update the answer after a short pause. If an error appears, follow its message, correct the field and calculate again. Reset restores the example values.

  4. Interpret the answer

    Check Geometric mean first. With the unchanged example inputs, it is 5.987590331048. Interpret it using the formula and assumptions on this page.

  5. Compare and keep a useful result

    Read the chart’s axis labels and data table. A scenario curve changes one stated input while holding the others fixed; it does not add external observations. Use Download graph to save an available chart as a PNG.

    Use Copy result or Download CSV to keep the answer. Share tool shares the page address without placing your input values in the URL. Recheck inputs and assumptions before using the result for a decision.

Sample Geometric Mean Calculator formula

Geometric mean = exp(mean(ln xᵢ)).

Inputs and units

Inputs and example values for Sample Geometric Mean Calculator
InputFormat / rangeExample
Data valuesText / numeric list2, 4, 6, 8, 10, 12

Worked example

Using the example inputs above, the geometric mean is 5.987590331048.

Geometric mean
5.987590331048

Results and assumptions

The output uses the geometric mean convention and formula shown above. Match the entered units and source assumptions when comparing results.

Fix an input or unexpected result

If your answer differs from the example, choose Reset and compare every field, including selected units and options. Check percentage versus decimal entry and whether values describe the same period. Round only the final displayed answer when reproducing the formula.

If a discrepancy remains, report the calculator issue with the page address, non-sensitive example inputs, actual result, expected result and a reference for your calculation.