You measure the mass of an apple using a balance. You get these three measurements: Trial 1: 167.0 g Trial 2: 166.9 g Trial 3: 167.2 g You know that the true mass of the apple is 172 g. Describe your results in terms of precision and accuracy. Explain your answer.

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Answer:

Explanation:

The three results are precise. This is because they are all within 0.3 g of one another. However, the results are not accurate, because they are all about 5 g away from the correct value for the mass of the apple.

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Considering the definition of accuracy and precision, the measurements are precise but not accurate.

Accuracy is the closeness of a measurement to the true value, while precision is the degree of closeness of the values ​​of several measurements at a point.

In other words, precision is the consistency of the results when multiple measurements are repeated. That is, it refers to the degree of proximity or closeness of the results of different measurements to each other. That is, precision refers to how close the measurements are to each other.

Accuracy indicates the degree of closeness or proximity between a measured value, or a series of observed values, with the real value of something. That is, the accuracy is the degree of agreement between the result of the measurements and the true value. In other words, accuracy refers to how close a measurement system's measurements are to the true value.

Accuracy and precision are independent of each other. Thus, the results in the values ​​of a measurement can be precise and not exact (and vice versa).

In this case, the average of the 3 measurements of the mass of the apple is:

(167+166.9+167.2)÷3 = 167.03 g

So, the repeated measurements are close to each other with a range of 0.3. Then,  this closeness means that the measurements are precise.

On the other side, the difference between the mean measurement and the true mass of the apple is:

172 - 167.03 = 4.97 g

This indicates that the repeated measurements are far from the true mass of the apple with a difference of 4.97 g. This means that the measurements are not accurate.  

In summary, the measurements are precise but not accurate.

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