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You are given a block of metal that has a known mass of 110.2 g. You measure its mass three times and get the following mass readings: 100.2 g, 100.1 g, and 100.3 g. What is your percent error?

Answer :

Final answer:

By finding the average of the measured values and utilizing the percent error formula, it is determined that the percent error of the measurements is approximately 9.07%.

Explanation:

The problem is asking for the percent error of your measurements compared to a given mass. The first step is to find the average of the measurements you took:

(100.2 g + 100.1 g + 100.3 g) / 3 = 100.2 g

This is the measured value. The given value, also known as the 'true value', is 110.2 g. Now you can calculate percent error using the following formula:

Percent Error = ( | Measured Value - True Value | / True Value ) * 100%

Substituting our values gives:

Percent Error = ( | 100.2 g - 110.2 g | / 110.2 g ) * 100%

Percent Error = (10 g/ 110.2 g ) * 100%

Your percent error is approximately 9.07%

Learn more about Percent Error here:

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