What is the percentage error if the measured value is 10.0 and the true value is
Practice Questions
Q1
What is the percentage error if the measured value is 10.0 and the true value is 9.5? (2021)
5.26%
4.76%
2.5%
10%
Questions & Step-by-Step Solutions
What is the percentage error if the measured value is 10.0 and the true value is 9.5? (2021)
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%.
