According to the Central Limit Theorem, for large samples the standard error of the sample mean is the population standard deviation divided by the square root of the sample size.

Standard Error

A statistical measure that describes the accuracy with which a sample represents a population, particularly in mean estimation.

Central Limit Theorem

A statistical theory that states that the distribution of sample means approximates a normal distribution as the sample size becomes larger, regardless of the population's distribution.

Sample Mean

The average value obtained from a sample, used as an estimate of the population mean.