Statistics calculator
Z-Score Calculator Formula Guide
Calculate z-score, approximate percentile, and distance from the mean.
Formulaz = (value - mean) / standard deviation
Formula
Z-score
z = (value - mean) / standard deviation
A value of 85 with mean 70 and SD 10 has z = 1.5.
FAQ6 common questions for this calculator.
FAQs
What does a positive z-score mean?+
It means the value is above the mean by that many standard deviations.
Is the percentile exact?+
It is an approximation based on the standard normal distribution.
How does the Z-Score Calculator calculate the result?+
For the Z-Score Calculator, it uses the Z-score: z = (value - mean) / standard deviation. A value of 85 with mean 70 and SD 10 has z = 1.5.
What information do I need to use the Z-Score Calculator?+
For the Z-Score Calculator, enter mean. Keep the units consistent with the calculator fields and compare your setup with the worked example on the page.
How accurate is the Z-Score Calculator?+
Z-Score Calculator calculates the selected statistic from the sample values provided. It uses the Z-score, but missing data, outliers, sample bias, and distribution assumptions can affect what the result means.
What should I check before using the Z-Score Calculator result?+
For the Z-Score Calculator, check mean, sample definition, missing values, outliers, and rounding precision. A statistic can be numerically correct but still describe a weak sample.
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How to use the Z-Score Calculator
Calculate z-score, approximate percentile, and distance from the mean. The page also explains the z-score and shows a practical example: A value of 85 with mean 70 and SD 10 has z = 1.5.
- 1
Enter your details
Enter the mean, then complete any other fields shown in the calculator.
- 2
Check the calculation
Review the result alongside the z-score: z = (value - mean) / standard deviation.
- 3
Compare scenarios
Change one or more inputs to see how they affect the z-Score Calculator result before you use the estimate.