So let's go back to the formula, which is, Standard deviation of 2.8, and a sample size of 400. Let's say we have a confidence interval of 90%, a population If there is a low standard deviation, this decreases the margin of error. So if we increase the standard deviation value, Sample size, we decrease the margin of error.Īlso, with the population standard deviation, σ, there is a direct relationship with the margin of error. And a low confidenceĪnd according to the formula, that there is an inverse relationship between the sample size and the margin of error. So a high confidence level increases the margin of error.

Such as 50%, then this equates to a low z value, which decreases the margin of error. However, this can be offset by increasing the sample size, which decreases the margin of error. When you need a high level of confidence, you have to increase the z-value which, in turn, increases the margin of error this is bad because a low So looking at this formula, let's analyze it a bit. σ is the population standard deviation of the data set. In this formula, z is the z value obtained from the Z distribution table. The formula in order to determine the margin of error is, MOE= ((z * σ)/√ n) The margin of error can be expressed as a decimal or as a percentage. The margin of error (MOE) is the level of error that you are willing to tolerate for a given data set. The Margin of Error for the Sample Mean Calculator calculates the margin of error based on the confidence level, population standard deviation, and

Margin of error