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Confidence Interval for a Mean

Calculate an approximate two-sided confidence interval for a population mean using the normal critical value.

Research & Data AnalysisFree calculatorGlobal reference

Calculator

Enter the values below. Every quantity identifies its unit or meaning.
units
units
observations
%
Formula / method
CI = x̄ ± z × s/√n (normal approximation).

How to use this calculator

What to enter

Enter or select the following as requested: Sample mean; Standard deviation; Sample size; Confidence level. Follow the units, valid ranges, examples, and options displayed beside each field.

What the result means

The statistic summarizes the entered data using the measure named by the calculator. Results depend on the supplied observations and, where applicable, whether the data are treated as a sample or an entire population.

When to use it

Use this to summarize or compare a dataset. Check data quality, missing values, units, and the sample-versus-population convention before interpreting the statistic.