If the true value of a measurement is 50.0 units and the measured value is 48.0

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Question: If the true value of a measurement is 50.0 units and the measured value is 48.0 units, what is the percentage error?

Options:

Correct Answer: 4.0%

Solution:

Percentage error = |(True value - Measured value) / True value| * 100 = |(50.0 - 48.0) / 50.0| * 100 = 4.0%.

If the true value of a measurement is 50.0 units and the measured value is 48.0 units, what is the percentage error?

If the true value of a measurement is 50.0 units and the measured value is 48.0 units, what is the percentage error?

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.

Percentage Error – Percentage error is a measure of how inaccurate a measurement is, expressed as a percentage of the true value.