If a specified value is 120.00, and the measured value is 124.56, what is the percent error?

To determine the percent error, it's essential to understand the formula used in its calculation. Percent error is calculated by taking the absolute difference between the measured value and the specified value, dividing that difference by the specified value, and then multiplying the result by 100 to express it as a percentage.

In this scenario, the specified value is 120.00, and the measured value is 124.56. First, you would find the absolute difference:

124.56 - 120.00 = 4.56.

Next, divide this difference by the specified value:

4.56 / 120.00 = 0.038.

Finally, multiply by 100 to convert it into a percentage:

0.038 x 100 = 3.8%.

Thus, the percent error in this case is 3.8%. This calculation is crucial because it helps evaluate the accuracy of the measured value relative to the specified value, which is essential in various fields, including engineering, science, and manufacturing, where precision is necessary.