Packed Order Checkweigh Tolerance Calculator
Does a measured package mass lie within a bounded sum of entered product and tare tolerances?
Method, formula and assumptions
Nominal mass = unit count x nominal unit mass + tare. Worst-case variation adds absolute unit variations and tare variation directly, not root-sum-square. Compare measurement with nominal +/- variation.
Input definitions and supported units
- Identical product units: Whole-number count, from 1 to 100000; must be positive.
- Nominal unit mass (g): Measured or assumed numerical value, from 0 to 1000000; zero is supported where the stated method permits it.
- Maximum absolute unit variation (g): Measured or assumed numerical value, from 0 to 1000000; zero is supported where the stated method permits it.
- Nominal packaging tare (g): Measured or assumed numerical value, from 0 to 1000000; zero is supported where the stated method permits it.
- Maximum absolute tare variation (g): Measured or assumed numerical value, from 0 to 1000000; zero is supported where the stated method permits it.
- Measured packed mass (g): Measured or assumed numerical value, from 0 to 1000000000; zero is supported where the stated method permits it.
Worked example with answer
12 units at 100 +/-2 g plus 50 +/-5 g packaging have 1,250 g nominal mass and 29 g worst-case variation. The range is 1,221 to 1,279 g; a 1,260 g measurement is 10 g above nominal.
How to use the results
This is a bounded-range check, not a confidence interval. An in-range weight does not prove the correct products or quantities are present.
Results retain full precision internally and display up to four decimal places. Very small nonzero results use scientific notation rather than appearing as zero. Check the labels before comparing values across units.
Limitations and references
Scale uncertainty must already be included if required. Mixed items, systematic bias and missing-versus-extra item ambiguity require separate controls.
The method is a self-contained arithmetic, geometric or explicitly stated mathematical model. There are no imported tariffs, empirical presets or equipment specifications; measured values and allowances must come from your own process.
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Creator & reviewers
Creator persona
- Riley ChenTime planning & productivity
Reviewer personas
- Avery BennettPersonal finance & everyday budgeting
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