Question:
The measured value of a quantity is \(98\) units, while the true value is \(100\) units. The percentage error is:
The measured value of a quantity is \(98\) units, while the true value is \(100\) units. The percentage error is:
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Percentage error is always calculated by dividing absolute error by true value and then multiplying by \(100\).
Updated On: Jun 3, 2026
- \(1\%\)
- \(2\%\)
- \(3\%\)
- \(4\%\)
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The Correct Option is B
Solution and Explanation
Concept:
Percentage error is calculated using the formula: \(\displaystyle \text{Percentage Error}=\frac{\text{Absolute Error}}{\text{True Value}}\times 100\)
Step 1: Write the given values.
Measured value: \(\displaystyle 98\) True value: \(\displaystyle 100\)
Step 2: Find absolute error.
\(\displaystyle \text{Absolute Error}=|\text{True Value}-\text{Measured Value}|\) \(\displaystyle =|100-98|\) \(\displaystyle =2\)
Step 3: Find percentage error.
\(\displaystyle \text{Percentage Error}=\frac{2}{100}\times 100\) \(\displaystyle =2\%\)
Step 4: Final conclusion.
Hence, the percentage error is: \(\displaystyle \boxed{2\%}\)
Percentage error is calculated using the formula: \(\displaystyle \text{Percentage Error}=\frac{\text{Absolute Error}}{\text{True Value}}\times 100\)
Step 1: Write the given values.
Measured value: \(\displaystyle 98\) True value: \(\displaystyle 100\)
Step 2: Find absolute error.
\(\displaystyle \text{Absolute Error}=|\text{True Value}-\text{Measured Value}|\) \(\displaystyle =|100-98|\) \(\displaystyle =2\)
Step 3: Find percentage error.
\(\displaystyle \text{Percentage Error}=\frac{2}{100}\times 100\) \(\displaystyle =2\%\)
Step 4: Final conclusion.
Hence, the percentage error is: \(\displaystyle \boxed{2\%}\)
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