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Statistics calculator

Skewness Calculator

Calculate population moment skewness of a numeric data set.

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How to use the skewness calculator

  1. Prepare the values for this calculation

    Calculate population moment skewness of a numeric data set. 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 Skewness first. With the unchanged example inputs, it is 0. 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.

Skewness Calculator formula

Skewness = mean[((x−μ)/σ)³].

Inputs and units

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

Worked example

Using the example inputs above, the skewness is 0.

Skewness
0

Results and assumptions

Uses the population standardized third central moment.

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.