Quality & Metrology calculator
Sampling Plan Size Calculator
Sampling plan size is the number of parts you pull from a production lot for inspection, set by applying a sampling rate to the lot and never dropping below an agreed minimum. Quality engineers, incoming inspectors, and metrology teams use it to balance inspection cost against the risk of accepting a bad lot. This calculator takes your lot size and percentage sampling rate, then enforces a minimum sample floor so small lots still get meaningful coverage. Getting the sample size right is what makes an acceptance decision defensible, because too few parts and a defective lot slips through, while too many wastes inspection labor and gate time.
What this calculator does
- Estimate sample size for a lot from the lot size, a percentage sampling rate, and a minimum sample required by your plan.
- Use it when planning inspection workload and you need to know how many samples a lot will require.
- It multiplies lot size by sampling rate, then takes the larger of that and your minimum sample size as the required sample.
Formula used
- Calculated sample = lot size × sampling rate
- Required sample size = max(calculated sample, minimum sample size)
Inputs explained
- Lot size: Enter the number of parts in the lot or shipment to be sampled.
- Sampling rate: Use the percentage sampling rate from your inspection plan or control plan.
- Minimum sample size: Enter the minimum sample required by the customer, standard, or internal policy.
How to use the result
- Use it to set incoming, in-process, or final inspection sample sizes when you sample by a fixed percentage with a floor.
- A flat percentage rule is not statistically equivalent to a standard AQL plan; for contractual acceptance sampling, derive sample size and accept/reject numbers from ANSI/ASQ Z1.4 or similar.
Current U.S. benchmarks
- U.S. manufacturing runs at 75.6% of capacity (Federal Reserve, May 2026). New factory orders are up 2.3% year over year (Census).
Common questions
- How do you calculate a sampling plan size? Multiply the lot size by the sampling rate, then take whichever is larger between that result and your minimum sample size. A 2000-part lot at 10% gives 200, which beats the 50-part floor.
- What is a good sampling rate? It depends on risk and history. 10% is a common general rule, but critical characteristics or unproven suppliers warrant higher rates, while a long history of clean lots can justify reduced sampling.
- Why have a minimum sample size? On small lots a flat percentage can pull just a handful of parts, which gives almost no confidence. A floor like 50 ensures even a small lot gets enough inspection to catch a problem.
- Is percentage sampling the same as AQL sampling? No. Percentage sampling is simple but not statistically rigorous; the same defect rate gives different consumer risk at different lot sizes. AQL plans like Z1.4 set sample size and accept numbers to a defined risk and are required for many contracts.
- How do I decide accept or reject after sampling? This tool sizes the sample only. You still need an acceptance number; for a percentage plan many shops accept on zero defects, but for a formal plan use the accept/reject criteria that come with the AQL table.
Last reviewed 2026-05-12.