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Accuracy Specification Calculator

Instrument and calibrator specifications often mix percent of reading and percent of full scale. Work out the allowable error at any point and compare the two styles.

% of reading% of full scaleCombined specsCalibrators
% rdg
% FS
units
units
Allowable error± 0.0325
As % of reading± 0.13 %
As % of full scale± 0.0325 %
How this result was calculated
  1. Error = 0.05 % × 25 + 0.02 % × 100 = ± 0.0325

Error across the range

ReadingError% of reading
10± 0.025± 0.25 %
25± 0.0325± 0.13 %
50± 0.045± 0.09 %
75± 0.0575± 0.07667 %
100± 0.07± 0.07 %
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Combined Accuracy Specification

Error = (a % × reading) + (b % × full scale)

Worked example

A calibrator rated ± (0.05 % of reading + 0.02 % of FS) on a 100 bar range: at 25 bar the error is 0.0125 + 0.02 = ± 0.0325 bar, or 0.13 % of reading.

Key insight: a % of reading spec stays proportionate at low readings; a % of FS spec does not. Compare instruments at the reading you actually use, not at full scale.
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Frequently Asked Questions

What is the difference between % of reading and % of full scale?

% of reading scales with the value measured; % of full scale is a fixed error in units across the whole range.

Why do specs combine both terms?

Gain errors scale with reading while offset and noise do not; the two terms describe both.

How should I compare two calibrators?

Calculate the error of each at the readings you will use most, including any temperature and stability terms.

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