Percentage error expresses the difference between an observed value and the true value as a percentage. When we perform experiments, measurements, or calculations, the results obtained are not always completely accurate. In such cases, it is important to know the measurement error. The Percent Error Calculator makes this task very easy.

If the Percentage Error is small, it means that the measured result is very close to the true value. However, if the Percentage Error is large, it indicates that there may be a measurement error or a technical problem.

Why does Percentage Error occur?

Measurement errors can occur for many reasons, such as human error, inaccurate calculations, estimations, or limitations of the measuring instrument. For example, when measuring the weight of an object or in an experiment, the value obtained may differ slightly from the actual value. In such situations, the Percent Error Calculator helps us understand how significant this difference is.

Formula for Calculating Percentage Error

To calculate the Percentage Error, first calculate the Absolute Error.

Formula:

Absolute Error = |Observed Value – True Value|

Percentage Error = (Absolute Error ÷ True Value) × 100

Example 1 (Solved)

Let:

Observed Value = 48
True Value = 52

Step 1: Calculate the Absolute Error
|48 – 52| = 4

Step 2: Calculate the Percentage Error

(4 ÷ 52) × 100 = 7.69%

This means that the measured value differs from the actual value by approximately 7.7%.

Example 2 (Solved)

Let’s say:

Observed Value = 95
True Value = 100

Step 1: Absolute Error
|95 – 100| = 5

Step 2: Percentage Error

(5 ÷ 100) × 100 = 5%

This means that the measurement is quite accurate because the error is only 5%.

What is a Negative Percentage Error?

If the absolute value is not used, the Percentage Error can also be negative. This simply means that the measured value is less than the true value. For example, if the True Value is 80 and the Observed Value is 70, the error will be negative.

But usually, we only see the magnitude of the error, not the direction.

Why is the Percent Error Calculator useful?

Calculating Percentage Error manually can be time-consuming and difficult, especially when the numbers are large. The Percent Error Calculator makes this process extremely easy. You simply enter both values, and it instantly displays the accurate result.

This tool is very useful for students, teachers, scientists, and engineers because it saves time and eliminates the possibility of error in calculations.

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Conclusion

Percentage Error is an important way to understand the accuracy of any measurement. It tells you how much the measured result differs from the actual value. The Percent Error Calculator makes this calculation fast, easy, and reliable. So, if you want accurate results, be sure to use this tool.