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Statistics / FREE CALCULATOR

Express distance from a mean in standard-deviation units.

Enter your numbers

READY WHEN YOU ARE

Your answer starts here.

Enter your values and select Calculate to see the result and any available breakdown.

How to use this calculator

  1. Enter observed value. Use the unit shown beside the field.
  2. Enter reference mean. Use the unit shown beside the field.
  3. Enter reference standard deviation. Use the unit shown beside the field.
  4. Select Calculate and review the result. Select Reset to restore the example inputs.

How the calculation works

(Observed value-Reference mean)/Reference standard deviation

Worked example

Observed value = 120; Reference mean = 100; Reference standard deviation = 10. Result: 2 standard deviations.

Understand your result

Express distance from a mean in standard-deviation units. The result is expressed in standard deviations.

Assumptions and limitations

Does not establish normality or a probability by itself. Results are rounded for display.

Questions about this tool

What does this tool calculate?

Express distance from a mean in standard-deviation units.

What should I check before using the answer?

Does not establish normality or a probability by itself.

Related guides

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