What is the relationship between the accuracy and uncertainty of a measurement?
Question
What is the relationship between the accuracy and uncertainty of a measurement?
Solution
The relationship between the accuracy and uncertainty of a measurement is inversely proportional.
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Accuracy refers to how close a measured value is to the true value. The more accurate a measurement is, the closer it is to the true value.
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Uncertainty, on the other hand, refers to the doubt that exists about the result of any measurement. It provides a range within which the true value is likely to lie.
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Therefore, when the accuracy of a measurement is high, the uncertainty is low because the measured value is very close to the true value. Conversely, when the accuracy is low, the uncertainty is high because the measured value could be quite far from the true value.
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In other words, a measurement that is highly accurate has a small degree of uncertainty, and a measurement that is less accurate has a higher degree of uncertainty.
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It's important to note that no measurement is 100% accurate, there will always be some degree of uncertainty due to limitations in the measuring instruments, the method used, and the person making the measurement.
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