Sample size to estimate mean

Use this calculator to find the minimum sample size required to estimate population mean $\mu$.

Sample Size to estimate mean
Confidence Level ($1-\alpha$)
Standard Deviation ($\sigma$)
Margin of Error ($E$)
Results
Z value:
Required Sample Size : ($n$)

Sample size required to estimate mean

The minimum sample size required to estimate the population mean $\mu$ is $$ \begin{aligned} n &= \bigg(\frac{z*\sigma}{E}\bigg)^2 \end{aligned} $$

where

  • $z=z_{\alpha/2}$ is the critical value of $Z$
  • $\sigma$ is the population standard deviation
  • $E$ is the margin of error.

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