We are asked if, given two measurements of the same quantity, it is possible that the more precise measurement is not the more accurate. Let's recall two definitions.
Precision is the level of detail of a measurement, determined by the smallest unit (or fraction of a unit) that can be reasonably measured.
Accuracy is the closeness of a given measurement to the actual measurement. We can find the accuracy of a measurement by finding the absolute value of the difference of the two.
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