Calculators, Formulas and Work with Steps -
Margin Of Error

Confidence Level :

Population SD :

Sample Size :

Margin of Error :

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Margin of Error (ME) Calculator's Margin of Error (ME) Calculator to estimate sampling error or acceptable tolerance of interest of sample included in statistical survey or experiments. This calculator is also known as sampling error calculator. This online statistics & probability tool featured to generate complete work with steps for any corresponding input values for margin of error calculation.

Input Parameters
Users may supply the values for the below input parameters to find the right amount of margin of error by using this calculator.

Confidence level :
It's a measure of probability that the confidence interval have the unknown parameter of population, generally represented by 1 - α. 0.01, 0.05, 0.10 & 0.5 represents 99%, 95%, 90% and 50% confidence levels respectively. It's often associated with confidence interval.

standard error :
The standard deviation of sampling distribution of a statistic is called as Standard Error.

Margin of Error & Formula

Margin of Error is a mathematical function or method used in the context of statistics & probability, used to estimate the acceptable tolerance of interest of sample included in the statistical surveys or experiments. It's also known as the amount of sampling error allowed in the surveys. It utilizes the standard error and Z-score value for the desired confidence level. Generally, it's a product of critical value from z-score table and the standard error of mean. Margin of Error is smaller, if the sample size is larger and vice versa. It's a tolerance value of confidence in statistical experiments. For example, 5% margin of error in the results would increase the 47% confidence level to 51% or decrease to 43% confidence level. It's often associated with sample size calculation to include the acceptable tolerance of interest of statistic in the experiments.

formula to calculate margin of error
Statistics formula to calculate sampling or margin of error

Solved Example Problems

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