Relative Error Calculator


About Relative Error Calculator (Formula)

The Relative Error Calculator is a tool used to assess the accuracy of a measured or calculated value compared to the true or accepted value. It quantifies the relative difference between the two values, providing insights into the level of accuracy or precision in the measurement or calculation.

The formula for calculating the relative error is:

Relative Error = |(True Value – Measured Value)| / |True Value|

Let’s explain each component of the formula:

  1. Relative Error: This represents the relative difference between the true or accepted value and the measured or calculated value. It is typically expressed as a percentage.
  2. True Value: The true value refers to the accurate or accepted value of the quantity being measured or calculated. It is often obtained from trusted sources, precise measurements, or established standards.
  3. Measured Value: The measured value represents the value obtained through experimentation, observation, or calculation. It may deviate from the true value due to errors, limitations of measuring instruments, or approximations in calculations.

The Relative Error Calculator is widely used in scientific research, engineering, and quality control processes to evaluate the reliability and accuracy of experimental data or computational results. By quantifying the relative error, researchers and professionals can assess the precision of their measurements or calculations and identify potential sources of error or discrepancies.

A relative error of zero indicates that the measured or calculated value is identical to the true value, signifying perfect accuracy. A positive relative error suggests an overestimation, while a negative relative error indicates an underestimation of the true value.

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