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The MOE measures the maximum amount by which the sample results may differ from the full population. This range, standard deviation, and variance calculator finds the measures of variability. That is, a sampling error will emerge because the researchers did not include everyone that exists within a given population. As the sample is only representative of the full population, it is likely that some error will occur, not in terms of the calculation, but in terms of the sampling. The majority of surveys that are conducted for research purposes are based on information that is collected from a sample population as opposed to the full population (a census). In statistics, the midrange of a set of statistical data values is the arithmetic mean of the maximum and minimum values in a data set. Click on the "Calculate" button to generate the outputs. The Midrange Calculator is used to calculate the midrange value of a set of numbers.If required, provide details of the population size.