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If a measurement has a relative error of 5%, what does this indicate? (2022)

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Question: If a measurement has a relative error of 5%, what does this indicate? (2022)

Options:

  1. The measurement is very accurate
  2. The measurement is very precise
  3. The measurement is off by 5% of the true value
  4. The measurement is exact

Correct Answer: The measurement is off by 5% of the true value

Exam Year: 2022

Solution: 

A relative error of 5% indicates that the measurement is off by 5% of the true value.

If a measurement has a relative error of 5%, what does this indicate? (2022)

Practice Questions

Q1
If a measurement has a relative error of 5%, what does this indicate? (2022)
  1. The measurement is very accurate
  2. The measurement is very precise
  3. The measurement is off by 5% of the true value
  4. The measurement is exact

Questions & Step-by-Step Solutions

If a measurement has a relative error of 5%, what does this indicate? (2022)
  • Step 1: Understand what relative error means. It is a way to express how much a measurement differs from the true value.
  • Step 2: Know that a relative error of 5% means the measurement is not perfect.
  • Step 3: Calculate what 5% of the true value is. This is the amount by which the measurement could be off.
  • Step 4: Conclude that if the measurement is off by 5%, it means the actual value could be higher or lower by that percentage.
  • Relative Error – Relative error is a measure of the uncertainty of a measurement compared to the true value, expressed as a percentage.
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