Z-score Calculator

Measure how many standard deviations a value is from the mean.

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What is this calculator?

Measure how many standard deviations a value is from the mean.

What can you use it for?

Use it when solving an exercise, checking a result, or working with the particular quantities shown in this form. Measure how many standard deviations a value is from the mean.

How to use it

  1. Enter observed value.
  2. Enter mean.
  3. Enter standard deviation.
  4. Select Calculate (or Generate for random tools).
  5. Read the answer and any additional results below the form. Check the units and the limits of the method.

Formula and method

Result = (observed value-mean)/standard deviation

The formula uses the units and definitions shown above. Each input is substituted before the arithmetic is evaluated; the calculated output is rounded for display.

Worked example

Observed value: 85, Mean: 70, Standard deviation: 10. The result is 1.5 (result).

Assumptions and limits

Inputs and outputs must stay within the supported finite number range. Displayed decimal answers may be rounded.

Frequently asked questions

What inputs does the Z-score Calculator need?

Use observed value, mean, standard deviation. Read the answer and any additional results below the form. Check the units and the limits of the method.

What assumptions apply to the Z-score Calculator?

Inputs and outputs must stay within the supported finite number range. Displayed decimal answers may be rounded.

A little help with the numbers

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