Percent Error

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What is Percent Error?

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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 Bob estimates 230 attendees and the actual number is 300, what is the percent error?

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Percent Error = |(230 - 300)| / |300| × 100% = 23%.

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If you estimate sending 135 texts but actually sent 108, what is the percent error?

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Percent Error = |(135 - 108)| / |108| × 100% = 25%.

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Griffin thinks a birthday card costs $4.50, but it actually costs $4. What is the percent error?

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Percent Error = |(4.50 - 4)| / |4| × 100% = 12.5%.

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The estimated attendance for a basketball game is 15,000, but 12,500 actually attended. What is the percent error?

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Percent Error = |(15000 - 12500)| / |15000| × 100% = 20%.

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During a science experiment, students measured a length of 12 cm, but the actual length was 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 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.

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What does a high percent error indicate?

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A high percent error indicates a significant difference between the estimated value and the actual value, suggesting a poor estimate.

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What is the significance of understanding percent error in real-life applications?

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Understanding percent error helps in evaluating the accuracy of estimates in various fields such as science, finance, and engineering.