Percentage Error Calculator
Percentage Error
Welcome to our Percentage Error Calculator, a tool designed to help you easily calculate percentage error. In this guide, we'll delve into what percentage error is, its significance, the formula for calculation, and how to effectively use our calculator.
- What is Percentage Error?
- Formula for Percentage Error
- Step-by-Step Calculation Process
- Using the Percentage Error Calculator
What is Percentage Error?
Percentage error, also known as relative error, is a measure of how inaccurate a measurement is, compared to the true value. It is expressed as a percentage and provides insight into the precision of a measurement or experiment.
Formula for Percentage Error
The formula to calculate percentage error is:
\text{Percentage Error} = \dfrac{|\text{True Value} - \text{Observed Value}|}{\text{True Value}} \times 100 \%Step-by-Step Calculation Process
- Identify the True Value: This is the accepted or theoretically correct value of the quantity being measured.
- Determine the Observed Value: This is the value obtained from an experiment, measurement, or observation.
- Apply the Formula: Plug the true value and observed value into the percentage error formula to calculate the relative error.
- Convert to Percentage: Multiply the result by 100 to express the error as a percentage.
Using the Percentage Error Calculator
Our Percentage Error Calculator simplifies the process of computing percentage error. Follow these steps to utilize the calculator effectively:
- Enter True Value: Input the true value in the designated field.
- Enter Observed Value: Input the observed value in the corresponding field.
- View Result: The calculator will instantly display the percentage error based on the provided values.
Example:
Let's illustrate the usage of our calculator with an example:
- True Value (T): 100
- Observed Value (O): 20
Using the formula, we have:
\text{Percentage Error} = \dfrac{|100 - 20|}{100} \times 100 \% = \dfrac{80}{100} \times 100 \% = 80 \%Thus, the percentage error is 80%.