# Percent Error Calculator

The Percent Error Calculator is a tool that helps you compare your experimental results with actual values and calculate the percent error.

The Percent Error Calculator is a tool that helps you compare your experimental results with actual values and calculate the percent error. This calculator allows you to express the difference between the measured value and the expected value as a percentage, so you can evaluate the accuracy of your data.

When using the Online Percentage Error Calculator: you can calculate by entering Experimental and Theoretical.

\text{Percent Error} = \left| \frac{{\text{Experimental Value} - \text{Theoretical Value}}}{{\text{Theoretical Value}}} \right| \times 100\%

Table of contents:

## How to Calculate Percentage Error?

Percentage error is a measure used to determine how much the result of a measurement or experiment differs from the true value. To calculate the percentage error, the difference between the actual value and the measured value is expressed as a percentage of the actual value. In this way, we can see how accurate or inaccurate the result is. The formula used to calculate the percentage error is as above.

Using this formula, you can assess the accuracy of your result and identify potential errors in your measurement process.”

### What is Percentage Error?

Percentage error is a concept used to determine how much a measurement or experiment result deviates from the true value. It is used to assess the accuracy of a measurement or experiment. Percentage error is the expression of the difference between the measured value and the actual value as a percentage of the actual value. The closer the measured value is to the true value, the lower the percentage error, which indicates the level of accuracy.

### Positive and Negative Percentage Error

Positive and negative percent error are terms used to indicate how much the measured value deviates from the true value. A positive percentage error indicates that the measured value is above the true value, while a negative percentage error indicates that the measured value is below the true value. These terms are important when evaluating the results of measurements or experiments because they indicate the direction in which the measured values deviate.

A positive percentage error occurs when the measured value is above the true value. When the measured value is greater than the actual value, the positive percentage error value has a positive (+) sign.

Negative percentage error indicates that the measured value is below the actual value. When the measured value is below the true value, the negative percentage error value has a negative (-) sign.

These terms are used to understand the accuracy and deviation of measured values, especially in scientific studies, engineering projects and experimental research.

### Difference between Experimental and Theoretical Value

The difference between experimental and theoretical value refers to the extent to which the value obtained as a result of an experiment or measurement differs from the theoretically expected value. The experimental value refers to the value obtained as a result of an experiment or measurement, while the theoretical value represents a predetermined or mathematically calculated value.

The difference between the experimental and theoretical value indicates how accurate or inaccurate the measured value is. If the experimental value is very close to the theoretical value, then the difference will be very small and the results can be considered correct. However, if the experimental value is significantly different from the theoretical value, then the difference can be significant and may suggest an error in the measurement or experimental process.

This concept is important in scientific research, engineering applications and experimental studies to assess the accuracy of the results obtained and to identify possible errors.

### Relationship between Percentage Error and True Value

The relationship between percentage error and true value is important for determining how accurate a measurement or experiment result is. The percentage error is the percentage expression of the difference between the measured value and the true value as a percentage of the true value. This relationship shows how close or far the measured value is.

If the measured value is very close to the actual value, the percentage error value will be very small, indicating the accuracy of the measurement. However, if the measured value is significantly different from the true value, the percentage error value will be large, indicating that there may be an error in the measurement.

This relationship is important in scientific studies, engineering applications and experimental research to assess the accuracy of the results obtained and to identify possible errors. Understanding the relationship between percent error and true value will help you interpret your data more accurately and report your results reliably.

### Uses of Percentage Error Calculation

Percentage error calculation is an important concept used in various fields and has many different application areas. These include

- Scientific Research: Scientists perform percent error calculation by comparing their experimental results with theoretical values. This allows them to assess the accuracy of their experimental results and identify possible errors.
- Engineering Applications: Engineers use percent error calculation to evaluate the performance of the systems or structures they design. This helps them identify errors in the design process and make improvements.
- Industrial Manufacturing: Industrial businesses use percentage error calculation to check the quality of their products. This allows them to detect defects in production processes and improve product quality.
- Financial Analysis: Financial analysts use percentage error calculation to assess the realization rate of their forecasts. This helps them assess the risk of investments and make more informed decisions.

Percentage error calculation is an important tool that is widely used in various sectors and fields because it has a wide range of uses.