Math Problem Statement
Traedyn measured the outside temperature with his thermometer. The actual temperature outside was 68 Fahrenheit he took two measurements: measurement 1: 70.4 Fahrenheit and measurement 2: 67.3 Fahrenheit what is the percent error of measurements 1 and 2?
Solution
To calculate the percent error for each measurement, we can use the formula:
Given:
- Actual Temperature = 68°F
- Measurement 1 = 70.4°F
- Measurement 2 = 67.3°F
Percent Error for Measurement 1:
Percent Error for Measurement 2:
Final Results:
- Percent Error for Measurement 1: ≈ 3.53%
- Percent Error for Measurement 2: ≈ 1.03%
Would you like more details or have any questions?
Here are 5 related questions to expand on this topic:
- How would percent error change if the measurements were in Celsius instead of Fahrenheit?
- What are other ways to measure the accuracy of temperature readings?
- How can environmental factors affect thermometer measurements?
- Can rounding affect the accuracy of percent error calculations?
- What is the difference between percent error and percent difference?
Tip: When dealing with percent error, always ensure that you use the absolute difference to avoid negative errors.
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Math Problem Analysis
Mathematical Concepts
Percent Error
Absolute Value
Accuracy in Measurements
Formulas
Percent Error = (|Measured Value - Actual Value| / Actual Value) × 100
Theorems
Absolute Difference
Suitable Grade Level
Grades 6-8
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