Quality & Metrology calculator
Gauge Repeatability Calculator
Check the short-run spread of five repeat measurements. Keep the same part, operator, gauge and method, then enter your maximum permitted sample standard deviation.
What this calculator does
- Estimate short-run repeatability from five actual readings of one stable part under unchanged conditions.
Formula used
- Mean = sum of five readings ÷ 5
- Sample standard deviation = sqrt(sum((reading − mean)²) ÷ 4)
- Observed range = maximum reading − minimum reading
- Limit margin = maximum allowed deviation − sample standard deviation
Inputs explained
- Reading 1: Actual repeat reading with the same operator, gauge and part.
- Reading 2: Actual repeat reading with the same operator, gauge and part.
- Reading 3: Actual repeat reading with the same operator, gauge and part.
- Reading 4: Actual repeat reading with the same operator, gauge and part.
- Reading 5: Actual repeat reading with the same operator, gauge and part.
- Maximum Repeatability Deviation: Permitted sample standard deviation from your measurement plan.
How to use the result
- Best suited to Short-Run gauge Check, fixture repeatability trial.
- Five readings give only four degrees of freedom and an imprecise estimate. This check excludes operator, part, long-term drift and bias effects.
Current U.S. benchmarks
- U.S. manufacturing runs at 75.7% of capacity (Federal Reserve, Aug 2026). New factory orders are up 8.5% year over year (Census).
Common questions
- Can I enter only the highest and lowest readings? No, enter all five recorded readings. A range alone does not determine the sample standard deviation or the actual measurement mean.
- Do identical readings prove perfect precision? No, the observed deviation is zero, but limited instrument resolution can conceal variation. Review the scale resolution before accepting that result.
- Should I compare the mean with a master? Use a separate bias assessment with a qualified reference. This page estimates repeated-reading spread, which does not establish measurement accuracy.
- Can different operators supply these five readings? No, hold the operator and method fixed for this repeatability check. Between-operator changes belong in a reproducibility study.
Last reviewed 2026-10-06.