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Question
the temperature outside is 75.0°f, but four students got different measurements when using thermometers. classify the data as accurate, precise, both or neither. 77.5°f 77.9°f 77.5°f 77.1°f answer:
Step1: Understand accuracy and precision
Accuracy is how close a measurement is to the true value. Precision is how close the measurements are to each other.
The true value is \(75.0^{\circ}F\). The measurements are \(77.5^{\circ}F\), \(77.9^{\circ}F\), \(77.5^{\circ}F\), \(77.1^{\circ}F\)
Step2: Check accuracy
The measurements (\(77.1 - 77.9\)) are not close to the true value of \(75.0\). So not accurate.
Step3: Check precision
The measurements \(77.1\), \(77.5\), \(77.5\), \(77.9\) are close to each other (differ by at most \(0.8\)). So precise.
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