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?

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%

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