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If the true value of a quantity is 100 and the measured value is 98, what is the

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Question: If the true value of a quantity is 100 and the measured value is 98, what is the percentage error?

Options:

  1. 2%
  2. 1%
  3. 3%
  4. 0.5%

Correct Answer: 2%

Solution:

Percentage error = (|True value - Measured value| / True value) * 100 = (|100 - 98| / 100) * 100 = 2%.

If the true value of a quantity is 100 and the measured value is 98, what is the

Practice Questions

Q1
If the true value of a quantity is 100 and the measured value is 98, what is the percentage error?
  1. 2%
  2. 1%
  3. 3%
  4. 0.5%

Questions & Step-by-Step Solutions

If the true value of a quantity is 100 and the measured value is 98, what is the percentage error?
  • Step 1: Identify the true value, which is 100.
  • Step 2: Identify the measured value, which is 98.
  • Step 3: Calculate the difference between the true value and the measured value: |100 - 98|.
  • Step 4: The difference is 2.
  • Step 5: Divide the difference by the true value: 2 / 100.
  • Step 6: The result of the division is 0.02.
  • Step 7: Multiply the result by 100 to convert it to a percentage: 0.02 * 100.
  • Step 8: The final result is 2%, which is the percentage error.
  • Percentage Error – Percentage error is a measure of how inaccurate a measurement is, expressed as a percentage of the true value.
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