Quality & Metrology worked example

Gauge R&R Percentage at 7.2% acceptance threshold for percent grr: a worked example

Suppose acceptance threshold for percent grr falls to 7.2%. This page works the full calculation at that level so you can see exactly which result moves and by how much. Estimate gauge R&R as a percentage of total study variation and compare it against your acceptance threshold.

The inputs for this scenario

  • Gauge R&R variation: 12 study units (held at the documented default)
  • Total study variation: 80 study units (held at the documented default)
  • Acceptance threshold for percent GRR: 7.2 % (the input this scenario stresses; the baseline uses 10)

Working through the calculation

  • The calculation starts from the formula this tool documents: Percent gauge R&R = gauge R&R variation ÷ total study variation × 100.
  • Percent gauge R&R works out to 15 % GRR at these inputs, and this is the headline figure for the scenario.
  • Gap to acceptance threshold works out to -7.8 points at these inputs.
  • Gauge R&R variation works out to 12 count at these inputs.
  • Total study variation works out to 80 count at these inputs.

How this compares with the baseline

  • Against the tool's baseline example, where acceptance threshold for percent grr sits at 10% and the headline result is 15 % GRR, this scenario lands almost exactly on the baseline at 15 % GRR.
  • It computes percent gauge R&R as measurement-system variation divided by total study variation, and the gap between that result and your acceptance threshold. When the numbers land here, the stressed input is the lever to work; the walkthrough above shows exactly how much each output recovers as it climbs back toward the baseline.

Results at a glance

  • Percent gauge R&R: 15 % GRR (headline result)
  • Gap to acceptance threshold: -7.8 points
  • Gauge R&R variation: 12 count
  • Total study variation: 80 count

Run it with your numbers

  • To rerun this with your own numbers, open the live Gauge R&R Percentage calculator, set acceptance threshold for percent grr to your actual value, and adjust the remaining inputs to match your operation.

Last reviewed 2026-05-12.