Error Bound Calculator

Last updated: Math Calculators

Error Bound Calculator

Enter the measured value and true value to calculate absolute error, relative error, and error bound.

About This Calculator

This error bound calculator helps you determine absolute error, relative error, and error bound between a measured value and the true value. It is widely used in science, engineering, and statistics to estimate the accuracy of measurements and calculations.

How It Works

The calculator uses the following formulas:

Absolute Error = |Measured − True|
Relative Error =
|Measured − True||True|
Error Bound = Relative Error × 100%

Enter the measured and true values, then click Calculate to get all results instantly.

Frequently Asked Questions

What is absolute error?

Absolute error is the difference between a measured value and the true value without considering direction.

What is relative error?

Relative error expresses the absolute error as a fraction of the true value, showing the scale of the error.

What is error bound?

Error bound is the relative error expressed as a percentage, indicating the maximum deviation from the true value.

Why is error analysis important?

Error analysis helps determine the reliability of measurements, ensuring calculations and experiments are accurate.

Can this calculator be used in engineering?

Yes, error bound calculations are commonly applied in engineering, physics, and other technical fields to evaluate accuracy.