Statistics calculator
Standard Error Calculator
Calculate standard error and an approximate 95% margin from standard deviation and sample size.
FormulaSE = standard deviation / sqrt(sample size)
Formula
Standard error
The 95% margin uses a normal approximation and is not a substitute for full study design.
SE = standard deviation / sqrt(sample size)
SD 12 and n 64 gives standard error 1.5.
FAQ6 common questions for this calculator.
FAQs
What is standard error?+
It estimates how much a sample mean varies from sample to sample.
How does sample size affect it?+
Larger sample size reduces standard error by the square-root relationship.
How does the Standard Error Calculator calculate the result?+
For the Standard Error Calculator, it uses the Standard error: SE = standard deviation / sqrt(sample size). SD 12 and n 64 gives standard error 1.5.
What information do I need to use the Standard Error Calculator?+
For the Standard Error Calculator, enter standard deviation and sample size. Keep the units consistent with the calculator fields and compare your setup with the worked example on the page.
How accurate is the Standard Error Calculator?+
Standard Error Calculator calculates the selected statistic from the sample values provided. It uses the Standard error, but missing data, outliers, sample bias, and distribution assumptions can affect what the result means.
What should I check before using the Standard Error Calculator result?+
For the Standard Error Calculator, check standard deviation and sample size, 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 Standard Error Calculator
Calculate standard error and an approximate 95% margin from standard deviation and sample size. The page also explains the standard error and shows a practical example: SD 12 and n 64 gives standard error 1.5.
- 1
Enter your details
Enter standard deviation and sample size, then complete any other fields shown in the calculator.
- 2
Check the calculation
Review the result alongside the standard error: SE = standard deviation / sqrt(sample size).
- 3
Compare scenarios
Change one or more inputs to see how they affect the standard Error Calculator result before you use the estimate.