Percent Error

Front

What is percent error?

Back

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

Front

How do you calculate percent error?

Back

To calculate percent error, subtract the actual value from the estimated value, take the absolute value of that difference, divide by the actual value, and then multiply by 100 to get a percentage.

Front

What is the formula for calculating absolute error?

Back

Absolute Error = |Estimated Value - Actual Value|.

Front

If the estimated value is 100 and the actual value is 80, what is the percent error?

Back

Percent Error = |(100 - 80)| / |80| * 100% = 25%.

Front

What does a percent error of 0% indicate?

Back

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

Front

In the context of the basketball game attendance question, what was the estimated value?

Back

The estimated value was 15,000 people.

Front

In the context of the deer population question, what was the actual count?

Back

The actual count was 21,300.

Front

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

Back

Understanding percent error helps in assessing the accuracy of estimates and measurements, which is crucial in fields like science, engineering, and economics.

Front

What is the percent error if the estimated value is 50 and the actual value is 40?

Back

Percent Error = |(50 - 40)| / |40| * 100% = 25%.

Front

How can percent error be used to improve future estimates?

Back

By analyzing percent error, one can identify patterns of overestimation or underestimation, allowing for adjustments in future estimates.