Standard Error Calculator
Effortlessly calculate the Standard Error of the Mean (SEM) or Standard Error of the Proportion (SEP) online. Understand sampling distribution with interactive visualizations.
Input Parameters
Value between 0 and 1
Standard Error ():
Sampling Distribution Visualization
Understanding Standard Error
The standard error (SE) indicates the accuracy with which a sample mean (or proportion) estimates the population mean (or proportion). It quantifies the variability of sample means around the true population mean. A smaller SE indicates a more precise estimate.
For the standard error of the mean (SEM), the formula is: SEM = σ / √n, where σ is the population standard deviation and n is the sample size.
For the standard error of the proportion (SEP), the formula is: SEP = √(p(1-p) / n), where p is the population proportion and n is the sample size.
Use this calculator to quickly compute the standard error and visualize the sampling distribution, aiding in understanding the reliability of your sample estimates.