Standard Error Calculator










 

About Standard Error Calculator

A standard error calculator is a tool used to calculate the standard error of a sample mean, which is a measure of the variability of the sample mean with respect to the population mean. The standard error is calculated by dividing the sample standard deviation by the square root of the sample size.

The smaller the standard error, the more precise the sample mean is as an estimate of the population means. Standard error calculators are commonly used in statistics and research to determine the accuracy of a sample mean.

They are often found in spreadsheet software or as online calculators and can be used to quickly and easily calculate the standard error for a given sample.

Standard Error Calculator Formula

The formula for calculating the standard error of the mean (SEM) is:

SEM = s / √n

Where:

  • s is the sample standard deviation
  • n is the sample size

The sample standard deviation is calculated by finding the square root of the sample variance, which is the sum of the squared differences between each sample value and the sample mean, divided by the sample size minus one.

The sample variance formula is:

s^2 = ∑(x_i – x̄)^2 / (n-1)

Where:

  • x_i is the ith sample value
  • x̄ is the sample mean

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