# Percent Error Calculator The Percent Error Calculator is a tool used to calculate the percentage difference between an estimated or measured value and the true or accepted value. It is commonly used in science, engineering, and experimental research to evaluate the accuracy of measurements or experimental results.

 Observed Value = True Value

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## What is Percent Error Calculator

The Percent Error Calculator is a tool used to calculate the percentage difference between an estimated or measured value and the true or accepted value. It is commonly used in science, engineering, and experimental research to evaluate the accuracy of measurements or experimental results.

The formula for calculating percent error is:

```                ```Percent Error = |(Measured Value - True Value) / True Value| × 100%
``````

By inputting the measured value and the true value into the calculator, it computes the absolute difference between the two values, divides it by the true value, and then multiplies by 100% to obtain the percentage error.

The percent error indicates how close or far the measured value is from the true value. A positive percent error indicates an overestimation, while a negative percent error indicates an underestimation.

The Percent Error Calculator is valuable in various fields where accuracy and precision are crucial, such as physics, chemistry, biology, and engineering. It helps researchers, scientists, and students assess the reliability of their data and determine the level of uncertainty associated with their measurements.

In summary, the Percent Error Calculator is a useful tool for evaluating the accuracy of measurements or experimental results. It provides a quantitative measure of the percentage deviation between the measured value and the true value, helping in assessing the quality and reliability of the data.

Percentage error is a measurement of the discrepancy between an observed and a true, or accepted value. When measuring data, the result often varies from the true value. Error can arise due to many different reasons that are often related to human error, but can also be due to estimations and limitations of devices used in the measurement. Regardless, in cases such as these, it can be valuable to calculate the percentage error. The computation of percentage error involves the use of the absolute error, which is simply the difference between the observed and the true value. The absolute error is then divided by the true value, resulting in the relative error, which is multiplied by 100 to obtain the percentage error. Refer to the equations below for clarification.

Absolute error = |Vtrue - Vobserved|

Relative error =
 |Vtrue - Vobserved| Vtrue
Percentage error =
 |Vtrue - Vobserved| Vtrue
× 100

The equations above are based on the assumption that true values are known. True values are often unknown, and under these situations, standard deviation is one way to represent the error. Please refer to the Standard Deviation Calculator for further details.

## Percent Error Calculator For Example

Measured Value True Value Percent Error
5.2 6.0 ?

In this example, we have a measured value of 5.2 and a true value of 6.0. We can use the Percent Error Calculator to determine the percentage difference between the two values.

By applying the formula:

``````Percent Error = |(Measured Value - True Value) / True Value| × 100%
``````

we can calculate the percent error using the given values:

``````Percent Error = |(5.2 - 6.0) / 6.0| × 100%
= |-0.8 / 6.0| × 100%
= 0.1333 × 100%
≈ 13.33%
``````

Therefore, the percent error in this case is approximately 13.33%.

Using the Percent Error Calculator enables us to quantify the discrepancy between the measured value and the true value. It helps in assessing the accuracy and precision of experimental measurements, allowing researchers and scientists to understand the level of uncertainty associated with their data.

Note: The percent error can also be negative if the measured value is greater than the true value, indicating an underestimation.