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If the true value of a measurement is 50.0 units and the measured value is 48.0
If the true value of a measurement is 50.0 units and the measured value is 48.0 units, what is the percentage error?
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Practice Questions
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Q1
If the true value of a measurement is 50.0 units and the measured value is 48.0 units, what is the percentage error?
4.0%
2.0%
5.0%
3.0%
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Percentage error = |(True value - Measured value) / True value| * 100 = |(50.0 - 48.0) / 50.0| * 100 = 4.0%.
Questions & Step-by-step Solutions
1 item
Q
Q: If the true value of a measurement is 50.0 units and the measured value is 48.0 units, what is the percentage error?
Solution:
Percentage error = |(True value - Measured value) / True value| * 100 = |(50.0 - 48.0) / 50.0| * 100 = 4.0%.
Steps: 6
Show Steps
Step 1: Identify the true value and the measured value. The true value is 50.0 units and the measured value is 48.0 units.
Step 2: Subtract the measured value from the true value. Calculate 50.0 - 48.0.
Step 3: Take the absolute value of the result from Step 2. This means ignoring any negative sign.
Step 4: Divide the absolute difference (from Step 3) by the true value (50.0).
Step 5: Multiply the result from Step 4 by 100 to convert it into a percentage.
Step 6: The final result is the percentage error.
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