To determine whether the thermometer is accurate and precise, we need to understand the definitions of accuracy and precision:
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Accuracy refers to how close a measurement is to the true value. If the true temperature is 32°F and the thermometer consistently reads 32.02°F, the thermometer is not accurate, since it is not providing the true temperature.
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Precision refers to the consistency of measurements. If the thermometer consistently reports 32.02°F every time the actual temperature is 32°F, then it can be considered precise because it gives the same result repeatedly.
In this case, the thermometer is not accurate (because it does not report the true temperature) but it could be considered precise (if it consistently reads 32.02°F). Therefore, the statement that the thermometer is both accurate and precise is false.