What is the percentage error if the true value is 50 and the measured value is 4

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Question: What is the percentage error if the true value is 50 and the measured value is 48? (2022)

Options:

Correct Answer: 4%

Exam Year: 2022

Solution:

Percentage error = |(True value - Measured value) / True value| * 100 = |(50 - 48) / 50| * 100 = 4%.

What is the percentage error if the true value is 50 and the measured value is 48? (2022)

What is the percentage error if the true value is 50 and the measured value is 48? (2022)

Step 1: Identify the true value and the measured value. Here, the true value is 50 and the measured value is 48.
Step 2: Subtract the measured value from the true value. Calculate 50 - 48, which equals 2.
Step 3: Take the absolute value of the result from Step 2. The absolute value of 2 is still 2.
Step 4: Divide the absolute difference by the true value. Calculate 2 / 50, which equals 0.04.
Step 5: Multiply the result from Step 4 by 100 to convert it to a percentage. Calculate 0.04 * 100, which equals 4%.
Step 6: The final result is the percentage error, which is 4%.

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