Percent Error

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What is Percent Error?

Back

Percent Error is a measure of how inaccurate a measurement is, expressed as a percentage of the true value. It is calculated using the formula: Percent Error = |(Estimated Value - Actual Value)| / |Actual Value| * 100.

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How do you calculate Percent Error?

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To calculate Percent Error, use the formula: Percent Error = |(Estimated Value - Actual Value)| / |Actual Value| * 100.

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If the estimated value is 15,000 and the actual value is 12,500, what is the percent error?

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Percent Error = |(15,000 - 12,500)| / |12,500| * 100 = 20%.

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What is the percent error if the estimated value is 17,600 and the actual value is 21,300?

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Percent Error = |(17,600 - 21,300)| / |21,300| * 100 = 17.4%.

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What does a percent error of 0% indicate?

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A percent error of 0% indicates that the estimated value is exactly equal to the actual value, meaning there is no error.

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What is the significance of a high percent error?

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A high percent error indicates a large discrepancy between the estimated value and the actual value, suggesting that the estimation was not accurate.

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If an archaeologist estimated a fossil to be 520 years old, but it was actually 500 years old, what is the percent error?

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Percent Error = |(520 - 500)| / |500| * 100 = 4%.

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How do you round percent error to the nearest tenth?

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To round percent error to the nearest tenth, look at the hundredths place. If it is 5 or greater, round up the tenths place by one.

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What is the percent error for an estimated speed of 35 mph and an actual speed of 38 mph?

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Percent Error = |(35 - 38)| / |38| * 100 = 7.9%.

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If a student measures a length of 12 cm but the actual length is 14.25 cm, what is the percent error?

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Percent Error = |(12 - 14.25)| / |14.25| * 100 = 15.79%.