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------------------------------------------------ A chemist conducted a set of four experiments to determine the density of magnesium metal, obtaining the following results: 1.68 g/cm$^3$, 1.67 g/cm$^3$, 1.69 g/cm$^3$, and 1.69 g/cm$^3$. The accepted value for the density of magnesium is 1.74 g/cm$^3$. What can you conclude about the precision and accuracy of the chemist's measurements?

The chemist's experiments demonstrate high precision but low accuracy, as the measured densities of magnesium metal closely match each other but not the accepted value.

Explanation:

In the field of chemistry, the term precision refers to the reproducibility of results from repeated measurements, whereas accuracy relates to the closeness of a measurement to the accepted or true value. Looking at the data from the experiments, the chemist has a high level of precision, given that the values of magnesium metal's density are close to each other (1.68 g/cm3, 1.67 g/cm3, 1.69 g/cm3, 1.69 g/cm3). However, despite the precision, the results aren't accurate since they do not closely match the accepted value of 1.74 g/cm3.

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