Course contents
Practitioner · Course 2: AQL and Final Inspection · Lesson 2 of 5

Reading an AQL sampling table to find the right sample size and acceptance number

Level: PractitionerTime: 45 minutesOrder used: A (the T-shirt)Tool: AQL final inspection report builder
This lesson is for a quality inspector or a merchandiser who needs to read an AQL sampling table, not memorise one. Lesson 9.2.1 (why a factory samples at all) helps but is not required. Figures follow the widely published ANSI/ASQ Z1.4 table; confirm the current official table at work.
FactoryDelta Garments (garment factory)
OrderOrder A, 15,000 pieces, single jersey T-shirt
BuyerNorthline Apparel, export, full package FOB
Inspection levelGeneral inspection level II, the level used unless the buyer states otherwise
Table usedANSI/ASQ Z1.4 single sampling table
Output of this lessonOrder A's own sample size and acceptance numbers
02Opening

This page explains how to read an AQL sampling table so a lot's own size tells you exactly how many pieces to inspect

This page is for anyone who has agreed to run an AQL inspection and now needs the two numbers the method actually runs on: how many pieces to pull, and how many defects the pull may contain before it fails. Neither number is a judgement call. Both come from a published sampling table, entered with the lot's own size and the inspection level the buyer or the seller has set.

This matters most to a quality inspector or a merchandiser at a factory, since an inspection run with the wrong sample size, or the wrong acceptance number, is not a valid AQL inspection at all, whatever else it did correctly. Delta Garments' final inspection of Order A, its 15,000-piece T-shirt order, is used throughout this lesson to show exactly how the table is entered and read.

Without reading the table correctly, an inspector can pull a sample too small to be statistically meaningful, or apply an acceptance number meant for a different lot size, and report a result that looks official but was never actually the inspection the buyer agreed to.

03Before you start

What you need, and what this lesson does not cover

You need: lesson 9.2.1's own explanation of why a factory samples instead of inspecting every piece.

By the end of this lesson you can:

  • find the sample size code letter for a given lot size and inspection level;
  • read the sample size a code letter points to in the sampling table;
  • find the acceptance and rejection numbers for a given AQL level and sample size;
  • explain why a lower AQL level means a stricter, not a looser, acceptance number;
  • avoid the common mistake of reading a sample size or acceptance number from the wrong row of the table.

Not covered here: how a found defect is classified as critical, major or minor before its count is compared against the acceptance number (lesson 9.2.3), and what happens once a lot's count exceeds the rejection number (lesson 9.2.4).

04Key terms

Words you will meet in this lesson

TermMeaning
Inspection sample sizeThe exact number of pieces an AQL inspection pulls from a lot, read from the sampling table using the lot's own size and the inspection level, not chosen by the inspector.
Sample size code letterThe letter the sampling table assigns to a lot size range and an inspection level, used to look up the exact sample size in the same table.
General inspection levelThe standard inspection strictness (usually level II) a sampling table applies unless the buyer's contract states a different level.
Acceptance numberThe largest number of defects of one class a sample may contain while the whole lot still passes.
Rejection numberThe smallest number of defects of one class a sample can contain that fails the whole lot.
05Teaching
The rule

A lot's own size and the agreed inspection level point to one row of the sampling table, and that row fixes the sample size and every acceptance and rejection number

A sampling table is read in a fixed order, never guessed at. First, the lot's own size is matched to one lot-size range in the table, which points to a sample size code letter. Second, that code letter is matched, at the agreed inspection level, to an exact sample size. Third, for each defect class being judged (critical, major, minor), the sample size row gives an acceptance number and a rejection number at the AQL level set for that class. Every one of these values comes from the same published table; none of them is set by the inspector's own judgement.

Lot sizefinds the code letterCode letterfinds the sample sizeAc/Reper defect classEach step reads directly from the table; none of the three numbers is chosen by the inspector.
A sampling table is read in three fixed steps: lot size to code letter, code letter to sample size, and sample size to the acceptance and rejection numbers for each defect class. Every value at every step comes from the published table, never from the inspector's own judgement.
What you meet in real life

The exact row a lot lands on differs by lot size, inspection level, and how strict the buyer's own AQL is

A person who has only read one row of the table should not assume every inspection lands on the same row. What differs is the row entered, not the three-step method used to enter it.

What can differThe shapes you meetWhy it matters
A larger or smaller lot than Order A's 15,000 piecesA smaller export order lands in a lower lot-size range, giving a smaller sample size code letter and a smaller sample; a much larger order lands in a higher range, needing a larger sample.An inspector who reuses Order A's own sample size on a different-sized lot is not running a valid inspection for that lot.
General versus special inspection levelsMost apparel orders use general inspection level II; a buyer requiring a stricter check for a sensitive product can specify a special level, which reads a different sample size from the same lot size.The inspector cannot assume level II applies without checking the buyer's own contract or manual.
A tighter AQL for a safety-related defect classA children's-wear order, or an order with metal trims near a child's reach, can set a stricter AQL for its critical defect class than a typical adult garment order, without changing the major or minor levels.The same sample can be judged against different acceptance numbers for different defect classes at the same time.
Domestic sellers setting their own inspection levelA domestic brand such as Cedar & Co., with no outside buyer's contract to follow, can choose to apply general level II to its own finished stock as a matter of its own quality policy, reading the table exactly the same way an export order would.The table itself does not care who is inspecting; only the inputs (lot size, inspection level, AQL per class) change who ends up with which row.
The case we follow

Delta Garments' inspector enters Order A's 15,000-piece lot into the sampling table and reads off its sample size and acceptance numbers

Order A's lot size is 15,000 pieces. Northline Apparel's purchase order specifies general inspection level II, the level used for most apparel orders unless stated otherwise, and sets AQL 0 for critical defects, AQL 2.5 for major defects, and AQL 4.0 for minor defects, an industry-standard combination for a basic garment order. Delta Garments' inspector enters these figures into the sampling table, not into a private spreadsheet of remembered numbers, to find Order A's own row.

FactWhat it tells the inspector
Order A's lot size is 15,000 piecesThis lot size falls in the table's 10,001-to-35,000-piece range
That range, at general inspection level II, carries sample size code letter MCode letter M is the row the inspector reads the sample size from
Northline Apparel's purchase order sets AQL 0 / 2.5 / 4.0 for critical / major / minorThree different acceptance and rejection numbers apply to the same one sample, one per defect class
The sample size and every acceptance/rejection number are fixed before counting startsThe inspector cannot adjust any of these numbers once defects begin turning up

Order A being a single, confirmed export lot, inspected once against Northline Apparel's own stated levels, is exactly why its row in the sampling table is fixed and repeatable, not re-decided at each inspection.

The worked number

Order A's own sample size and acceptance/rejection numbers, read from the table

Following the widely published ANSI/ASQ Z1.4 single sampling table (general inspection level II, normal inspection), a lot size of 15,000 pieces carries sample size code letter M, which reads to a sample size of about 315 pieces. At that sample size, AQL 0 for critical defects gives an acceptance number of 0 and a rejection number of 1 (a single critical defect always rejects the lot, at any sample size); AQL 2.5 for major defects gives an acceptance number of about 21 and a rejection number of about 22; AQL 4.0 for minor defects gives an acceptance number of about 34 and a rejection number of about 35. These figures follow the standard, publicly documented table and should be checked against a current official copy before use in a real inspection.

Order A: lot 15,000, sample size about 315Critical (AQL 0)Ac 0 / Re 1Major (AQL 2.5)Ac ~21 / Re ~22Minor (AQL 4.0)Ac ~34 / Re ~35Illustrative figures from the standard published table; confirm against a current official copy before real use.
Order A's one sample of about 315 pieces is judged three times, once per defect class, against three different acceptance and rejection numbers. A single critical defect rejects the lot outright; major and minor defects each have their own, more forgiving, threshold.
The method

How to read a sampling table for any lot

  1. State the lot size exactly, before opening the table.
  2. Confirm the inspection level, usually general level II unless the buyer's contract states otherwise.
  3. Find the lot size's row in the table and read off its sample size code letter.
  4. Read the sample size the code letter points to at the confirmed inspection level.
  5. Read the acceptance and rejection numbers for each defect class, at that class's own AQL level, from the same sample-size row.
The trap

Reading a sample size or acceptance number from a row that does not match the lot actually being inspected

A common mistake is an inspector reusing a sample size and acceptance number remembered from a previous, similarly sized order, without re-checking the current lot's exact size against the table. A lot size close to a range's boundary, such as 10,050 pieces against a boundary at 10,001, still falls in the same range as Order A's 15,000, but a lot at 9,900 pieces falls in the row below, with a different code letter and a different sample size. Reusing the wrong row means the sample size and every acceptance number are wrong, even if the inspector's counting of defects afterward is careful and accurate.

06In plain words

An AQL sampling table turns a lot's own size into three things: how many pieces to check, and how many faults are allowed for the class of fault being judged, one number for the largest allowed and one for the smallest that fails the lot. You find these by looking up the lot size, then the inspection level, then the required strictness for each type of fault. None of these numbers is a guess or a memory from a different order; each one is read from the table itself, freshly, for the lot in front of you.

07Quick check
  • A sampling table is read in three fixed steps: lot size to code letter, code letter to sample size, sample size to acceptance/rejection numbers.
  • General inspection level II is the usual level for apparel orders unless the buyer's contract states a different one.
  • A stricter AQL level (a smaller number) gives a smaller acceptance number, not a larger one.
  • Critical defects are almost always set at AQL 0, meaning a single one rejects the lot regardless of sample size.
  • The same sample is judged separately against three different acceptance numbers, one for each defect class.
  • A lot size near a table boundary can fall in a different row than a similarly sized past order; always re-check the exact lot size.
08Workplace scenario

Mona is asked to reuse a previous order's sample size for Order A instead of re-reading the table

Mona, the merchandiser at Delta Garments, is briefing the inspector before Order A's final inspection. The inspector, who ran a final inspection on a similarly sized order last month, suggests reusing that order's sample size of 280 pieces to save time, since "it was close enough last time."

  • Order A's own lot size is 15,000 pieces, confirmed and packed.
  • Last month's order had a lot size of 9,800 pieces, in the sampling table's row below Order A's own row.
  • The two lot sizes fall in different rows of the sampling table, with different sample size code letters.

The inspector's note reads:

"Last month's order was close in size and I already know that sample size. Can I just use 280 pieces again for Order A instead of looking the table up fresh?"

Should Mona let the inspector reuse last month's sample size of 280 pieces for Order A's own 15,000-piece lot.

Show decision

No. Order A's own lot size must be read fresh from the sampling table, because 15,000 pieces and 9,800 pieces fall in different rows with different sample sizes.

First, 9,800 pieces and 15,000 pieces sit on opposite sides of the table's row boundary at 10,001 pieces. A lot size close to a boundary, or simply in a different range, reads a different sample size code letter, even when the two orders feel similar in scale.

Second, reusing 280 pieces on Order A's own 315-piece requirement means the sample is undersized for this lot. An undersized sample is not a smaller, faster version of a valid AQL inspection; it is not a valid AQL inspection at all, whatever the count inside it shows.

Mona should have the inspector read Order A's own lot size fresh against the table before the inspection starts, confirming the sample size code letter and the sample size before a single piece is pulled.

09What it costs

The cost of inspecting Order A on an undersized sample carried over from a different order

If Delta Garments inspects Order A with a 280-piece sample instead of the 315 pieces its own lot size requires, and Northline Apparel later checks the inspection record against the sampling table, the inspection can be rejected as invalid regardless of the result it produced, because the sample itself did not meet the agreed method.

Order A's own required sample size (about 315) − sample actually pulled (280) = 35 pieces short of a valid AQL inspection

An invalid inspection record found after shipment forces Delta Garments to prove the lot's quality some other way, often a fresh inspection under time pressure at the buyer's own cost and schedule, which costs far more than the short time saved by skipping a fresh look at the table.

10Working template

AQL final inspection report builder: see the Sampling Plan sheet Order A's own row comes from

Open the AQL final inspection report builder's Sampling Plan sheet. Find the row for Order A's own lot size range, and read its sample size code letter, sample size, and the acceptance/rejection numbers for each defect class. This lesson's job is only to show how that one row is found and read; lesson 9.2.5 shows how these figures carry through into the full inspection report.

Download the AQL final inspection report builder (Excel)

11Check yourself

1. What three things does reading a sampling table correctly give an inspector?

2. A lot of 9,900 pieces and a lot of 15,000 pieces use the same inspection level. Why might they use different sample sizes?

3. Why does a critical defect class set at AQL 0 reject a lot the moment one critical defect is found, at any sample size?

12Glossary
ENARFRTRMeaning
Inspection sample sizeحجم عينة الفحصTaille d'échantillon d'inspectionKontrol numune büyüklüğüThe exact number of pieces an AQL inspection pulls from a lot, read from the sampling table using the lot's own size and the inspection level, not chosen by the inspector.
Sample size code letterحرف رمز حجم العينةLettre code de taille d'échantillonNumune büyüklüğü kod harfiThe letter the sampling table assigns to a lot size range and an inspection level, used to look up the exact sample size in the same table.
General inspection levelمستوى الفحص العامNiveau de contrôle généralGenel kontrol seviyesiThe standard inspection strictness (usually level II) a sampling table applies unless the buyer's contract states a different level.
Acceptance numberرقم القبولNombre d'acceptationKabul sayısıThe largest number of defects of one class a sample may contain while the whole lot still passes.
Rejection numberرقم الرفضNombre de refusRet sayısıThe smallest number of defects of one class a sample can contain that fails the whole lot.
13Next

Lesson 9.2.3: Counting critical, major and minor defects toward a pass or fail decision

You now know how to read a sampling table to find a sample size and acceptance number. The next lesson opens the other half of the decision: how a found defect is classified as critical, major or minor, and why that classification changes which acceptance number applies. Back to the course map

14Ladder

RecognizeName the three steps a sampling table is read in.
ConnectSee why a lot's own size, not a similar past order, decides which row applies.
CompareTell a stricter AQL level from a looser one by comparing acceptance numbers.
DecideRefuse to run an inspection on a sample size carried over from a different lot.