Standard Deviation of Sample Mean Calculator

Calculate Standard Deviation of Sample Mean

The known standard deviation of the entire population.
The number of observations in your collected sample.

Use our free Standard Deviation of Sample Mean Calculator to quickly determine the variability of sample means. This crucial statistical tool, also known as the Standard Error of the Mean, helps assess the precision of your sample estimates, making your data analysis more robust. Simply input the population standard deviation and sample size to get your results instantly.

Formula:

The formula for the Standard Deviation of the Sample Mean (also known as the Standard Error of the Mean) is:

σx̄ = σ / √n

Where:

  • σx̄ is the Standard Deviation of the Sample Mean (or Standard Error of the Mean)
  • σ is the Population Standard Deviation
  • n is the Sample Size

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