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 actual 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 17,600 and the actual value is 21,300, what is the Percent Error?

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

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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%.

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What does a low Percent Error indicate?

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A low Percent Error indicates that the estimated value is close to the actual value, suggesting high accuracy.

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What does a high Percent Error indicate?

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A high Percent Error indicates that the estimated value is far from the actual value, suggesting low accuracy.

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What is the difference between accuracy and precision?

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Accuracy refers to how close a measurement is to the actual value, while precision refers to how consistent repeated measurements are.

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What is an example of High Accuracy & High Precision?

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If multiple measurements of a length are taken and they are all very close to the actual length, this indicates high accuracy and high precision.

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What is an example of Low Accuracy & High Precision?

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If multiple measurements are taken that are very consistent but all far from the actual value, this indicates low accuracy and high precision.

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What is an example of High Accuracy & Low Precision?

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If measurements are scattered but on average are close to the actual value, this indicates high accuracy and low precision.