Relative Standard Error Calculator

What Is Relative Standard Error?

Relative standard error (RSE) measures estimate precision as a percentage of the sample mean. It compares sampling variability to the size of the estimate itself. Related tools: Relative Standard Deviation Calculator and Sampling Error Calculator.

RSE Formula

$$\text{RSE} = \frac{SE}{|\bar{x}|} \times 100\%$$

Here $SE$ is the standard error of the estimate and $\bar{x}$ is the sample mean. Lower RSE means higher precision relative to the estimate size.

RSE vs RSD

Relative standard deviation uses the sample standard deviation. Relative standard error uses the standard error, which already accounts for sample size through $SE = s / \sqrt{n}$.

Example

If the sample mean is 50 and the standard error is 5, then $\text{RSE} = 5/50 \times 100\% = 10\%$.