Standard Error Calculator

Calculate and visualize the standard error for mean or proportion.

Input Parameters

σ
n
p

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.