If the true value of a quantity is 200 and the measured value is 198, what is th

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Question: If the true value of a quantity is 200 and the measured value is 198, what is the percentage error?

Options:

Correct Answer: 1%

Solution:

Percentage error = (|True value - Measured value| / True value) * 100 = (|200 - 198| / 200) * 100 = 1%.

If the true value of a quantity is 200 and the measured value is 198, what is the percentage error?

If the true value of a quantity is 200 and the measured value is 198, what is the percentage error?

Step 1: Identify the true value, which is 200.
Step 2: Identify the measured value, which is 198.
Step 3: Calculate the difference between the true value and the measured value. This is done by subtracting the measured value from the true value: 200 - 198.
Step 4: Take the absolute value of the difference calculated in Step 3. In this case, |200 - 198| = 2.
Step 5: Divide the absolute difference by the true value. This is done by calculating 2 / 200.
Step 6: Multiply the result from Step 5 by 100 to convert it to a percentage. So, (2 / 200) * 100 = 1%.
Step 7: The final result is the percentage error, which is 1%.

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