What is the percentage error if the measured value is 20.0 and the true value is

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Question: What is the percentage error if the measured value is 20.0 and the true value is 19.5? (2021)

Options:

Correct Answer: 2.56%

Exam Year: 2021

Solution:

Percentage error = (|Measured - True| / True) × 100 = (|20.0 - 19.5| / 19.5) × 100 ≈ 2.56%.

What is the percentage error if the measured value is 20.0 and the true value is 19.5? (2021)

What is the percentage error if the measured value is 20.0 and the true value is 19.5? (2021)

Step 1: Identify the measured value and the true value. Here, the measured value is 20.0 and the true value is 19.5.
Step 2: Calculate the difference between the measured value and the true value. This is done by subtracting the true value from the measured value: |20.0 - 19.5|.
Step 3: Calculate the absolute value of the difference. The result is |0.5|, which is 0.5.
Step 4: Divide the absolute difference by the true value. This means you take 0.5 and divide it by 19.5: 0.5 / 19.5.
Step 5: Calculate the result of the division. This gives you approximately 0.02564.
Step 6: Multiply the result by 100 to convert it to a percentage. So, 0.02564 × 100 = 2.564.
Step 7: Round the percentage to two decimal places if needed. The final percentage error is approximately 2.56%.

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