Three measurements of 34.5 m, 38.4 m, and 35.3 m are taken. If the accepted value of the measurement is 36.7 m, what is the percent error for each measurement?

The respective percent errors for the measurements 34.5 m, 38.4 m, and 35.3 m compared to an accepted value of 36.7 m are calculated to be 5.99%, 4.63%, and 3.81%.

Explanation:

The percent error for a measurement can be calculated by taking the absolute value of the difference between the accepted value and the measured value, dividing by the accepted value, and then multiplying by 100% to convert to a percentage. The formula is as follows:

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

Using this formula, we can calculate the percent error for each of your measurements:

Measurement 1 (34.5 m): Percent Error = |(34.5 m - 36.7 m)| / 36.7 m * 100% = 5.99%
Measurement 2 (38.4 m): Percent Error = |(38.4 m - 36.7 m)| / 36.7 m * 100% = 4.63%
Measurement 3 (35.3 m): Percent Error = |(35.3 m - 36.7 m)| / 36.7 m * 100% = 3.81%

This means that your measurements were off by 5.99%, 4.63%, and 3.81% respectively.

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