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📐 Tolerance Interval
A statistical interval covering a specified proportion of the population
A tolerance interval differs from a confidence interval: a confidence interval estimates the population mean, while a tolerance interval estimates the range that covers a specified proportion (e.g. 95%) of individuals in the population. Commonly used to set product specification limits.
Sample data (one value per line, or separated by space / comma)
Sample Statistics
Sample size n
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Mean x̄
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Std dev s
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Tolerance factor k
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Tolerance Interval
Two-sided tolerance interval (covers 95% of population, 95% confidence)
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Tolerance lower
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Tolerance upper
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Interval width
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Data range
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Data distribution & tolerance interval
Common tolerance factor k reference (95% confidence)
About Statistical Tolerance Interval
Statistical tolerance interval tool: one- or two-sided limits from sample data at specified coverage and confidence for process and spec validation.
Learn more about this tool →
GUM Measurement Uncertainty
Dimensional Tolerance Judgment
Sample Size Calculator
Normality Test
Process Capability (Cpk)
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