Math Problem Statement
A student takesd the measurment 2.75 meters. Calculate the % error if the handbook states the value 3.11 meters
Solution
To calculate the percentage error, we use the following formula:
Here, the measured value is meters, and the true (handbook) value is meters.
Now, let's compute it:
So, the percentage error is approximately 11.58%.
Would you like further details or clarification?
Here are 5 related questions to expand your understanding:
- How is percentage error different from percentage difference?
- What would the percentage error be if the measured value was exactly the same as the true value?
- Why is it important to consider percentage error in experimental measurements?
- How does percentage error change if the measured value is significantly greater than the true value?
- Can you explain a situation where a small percentage error might still indicate a significant problem?
Tip: Always use absolute values when calculating percentage error to avoid negative results, as it’s meant to represent the magnitude of error, not the direction.
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Math Problem Analysis
Mathematical Concepts
Percentage Error
Absolute Value
Error Calculation
Formulas
Percentage Error = (|Measured Value - True Value| / True Value) × 100
Theorems
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Suitable Grade Level
Grades 8-10