Question
A digital thermometer reports a temperature of 32F as being 32.02F
True or false? The thermometer is both accurate and precise.
True or false? The thermometer is both accurate and precise.
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Answered by
GPT-4o mini
To determine whether the thermometer is accurate and precise, we need to understand the definitions of accuracy and precision:
- **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.
- **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**.
- **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.
- **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**.
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