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What is the relationship between the accuracy and uncertainty of a measurement?

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Solution

The relationship between the accuracy and uncertainty of a measurement is inversely proportional.

  1. Accuracy refers to how close a measured value is to the true value. If a measurement is highly accurate, it means it's very close to the true value.

  2. Uncertainty, on the other hand, refers to the doubt that exists about the result of any measurement. It's an estimate of how much a measured or calculated value differs from a true value.

  3. Therefore, when the accuracy of a measurement is high, the uncertainty is low. This is because a more accurate measurement leaves less room for doubt about what the true value might be.

  4. Conversely, when the uncertainty is high, the accuracy is low. This is because a high level of uncertainty means there is a lot of doubt about what the true value might be, indicating that the measurement is not very accurate.

  5. In summary, the more accurate a measurement is, the less uncertainty it has, and vice versa.

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