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Accuracy vs precision

Beginner

Accuracy is closeness to truth; precision is repeatability.

Accuracy is how close a result is to the true value. Precision is how close repeated results are to each other. A scale that always reads 0.5 kg too high is precise but not accurate, and a scale that scatters around the correct value is accurate on average but not precise.

Worked example

Darts all clustered in the top left of the board: precise, not accurate. Darts scattered evenly around the bullseye: accurate on average, not precise.

Common mistake

Averaging many readings improves precision but cannot remove a systematic offset.

In more detail

Accuracy is how close a measurement is to the true value, while precision is how well repeated measurements agree. A measurement can be precise but not accurate if the instrument has a systematic offset.

Real-world uses

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Frequently asked questions

Can a result be accurate but not precise?

Yes, if the average of several noisy readings is close to the true value but the individual readings scatter widely.

Which matters more?

It depends on the task. Accuracy matters for matching a known standard; precision matters for detecting small changes.

Can I improve precision by taking more readings?

Yes, averaging more readings reduces random scatter, but it does not correct an accuracy problem caused by a faulty instrument.

Related topics in Measurement & Math Tools

Mass vs weight · Significant figures · Rounding rules · Systematic error · Random error · Absolute error

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