Math Problem Statement
A meteorologist forecasted that Monday's high temperature would be 76°F. On Monday, the temperature reached 80°F. What is the percent error in the meteorologist's forecast for Monday?
Solution
To calculate the percent error in the meteorologist's forecast, we use the formula:
Here, the actual temperature on Monday was 80°F, and the forecasted temperature was 76°F. Substituting these values:
So, the percent error in the forecast is 5%.
Would you like further details or explanations?
Here are five related questions:
- How do you calculate the absolute error in a forecast?
- What are other uses of percent error in scientific calculations?
- How does percent error differ from percent change?
- How does rounding affect percent error in forecasts?
- How does margin of error factor into meteorological predictions?
Tip: Percent error is always expressed as a positive value, since it represents the magnitude of the difference, regardless of direction.
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Math Problem Analysis
Mathematical Concepts
Percent Error
Measurement and Data Analysis
Formulas
Percent Error = |(Actual Value - Forecasted Value) / Actual Value| × 100
Theorems
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Suitable Grade Level
Grades 6-8
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