Quality & Metrology calculator

AQL Sample Size Calculator

AQL (Acceptable Quality Limit) sample size is the number of parts you pull from a production lot to decide whether the whole lot passes inspection. Quality engineers and incoming-inspection teams use it to apply ANSI/ASQ Z1.4-style sampling without inspecting 100% of a shipment. Getting the sample size right is what makes a statistical accept/reject decision defensible to customers and auditors. Pull too few and you miss defect rates; pull too many and you burn inspection labor on parts that are almost certainly fine.

What this calculator does

  • Estimate the AQL sample size for a lot from the lot size, a sampling rate tied to your inspection level, and a minimum sample.
  • Use it to plan AQL inspection workload before you look up the exact sample and acceptance number in ANSI/ASQ Z1.4.
  • It computes the required inspection sample size by taking the larger of (lot size x sampling rate) and your stated minimum sample size.

Formula used

  • Calculated sample = lot size × sampling rate
  • Required AQL sample size = max(calculated sample, minimum sample size)

Inputs explained

  • Inspection lot size: Number of parts in the lot being inspected.
  • Acceptable Quality Level (AQL): The AQL percent for the inspection (ANSI/ASQ Z1.4).
  • Minimum sample size: Floor on sample size regardless of lot size.

How to use the result

  • Use it when you receive or produce a discrete lot and need to set how many units to inspect before accepting or rejecting it.
  • This is a simplified percentage-of-lot model; it does not derive accept/reject numbers (Ac/Re) from an AQL level the way a full Z1.4 sampling plan table does.

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 AQL sample size? Multiply lot size by your sampling rate, then take the larger of that figure and your minimum sample size. With a 1,200-part lot at 8% and an 80-part floor, the calculated sample is 96, which beats the floor, so 96 parts is the required sample.
  • What is a good AQL sampling rate? There is no single number; it depends on AQL level and inspection severity. Common practical rates run 5-13% of small-to-medium lots, but for formal compliance you should map lot size to a code letter in ANSI/ASQ Z1.4 rather than picking a flat percentage.
  • Why include a minimum sample size? Small lots can produce a calculated sample of only a handful of parts, which gives almost no statistical confidence. The minimum floor (80 in the example) guarantees you always inspect enough units even when the percentage math returns a tiny number.
  • AQL sample size vs full Z1.4 sampling plan? This calculator returns how many parts to inspect. A full Z1.4 plan also tells you the maximum allowable defects (acceptance number) for a chosen AQL. Use this for quick sizing and the standard's tables for the formal accept/reject criteria.
  • Does a bigger lot always need a bigger sample? Under a flat percentage it does, which is one weakness of this method. Real AQL tables flatten out so a 10,000-part lot needs only modestly more inspection than a 3,000-part lot, because sample size scales with the square-root of lot size, not linearly.

Last reviewed 2026-05-12.