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.