What is the percentage error if the measured value is 10.0 and the true value is 9.5? (2021)

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Q: What is the percentage error if the measured value is 10.0 and the true value is 9.5? (2021)

Solution: Percentage error = (|Measured - True| / True) × 100 = (|10.0 - 9.5| / 9.5) × 100 = 5.26%.

Steps: 7

Step 1: Identify the measured value and the true value. Here, the measured value is 10.0 and the true value is 9.5.
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: |10.0 - 9.5|.
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 9.5: 0.5 / 9.5.
Step 5: Calculate the result of the division. This gives you approximately 0.05263.
Step 6: Convert the result into a percentage by multiplying by 100. So, 0.05263 × 100 equals 5.263.
Step 7: Round the percentage to two decimal places if needed. The final percentage error is approximately 5.26%.