Enter the FAR number and the FRR number into the Calculator. The calculator will evaluate the Equal Error Rate. 

Equal Error Rate Formula

EER = (FAR + FRR) / 2

Variables:

  • EER is the Equal Error Rate ()
  • FAR is the FAR number
  • FRR is the FRR number

To calculate Equal Error Rate, sum the FAR number and the FRR number, then divide by 2.

How to Calculate Equal Error Rate?

The following steps outline how to calculate the Equal Error Rate.


  1. First, determine the FAR number. 
  2. Next, determine the FRR number. 
  3. Next, gather the formula from above = EER = (FAR + FRR) / 2.
  4. Finally, calculate the Equal Error Rate.
  5. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem : 

Use the following variables as an example problem to test your knowledge.

FAR number = 7945

FRR number = 1293

Frequently Asked Questions

What is FAR in Equal Error Rate calculations?

FAR stands for False Acceptance Rate. It is a measure of the likelihood that a security system will incorrectly accept an access attempt by an unauthorized user.

What does FRR stand for?

FRR stands for False Rejection Rate. It is the probability that a system will wrongly reject an access attempt by an authorized user.

Why is the Equal Error Rate (EER) important?

EER is crucial because it provides a single metric that balances the trade-offs between FAR and FRR, giving a holistic view of a system’s security and usability performance.

Can Equal Error Rate be used for all types of security systems?

Yes, EER is a versatile metric that can be applied to any security system requiring identity verification, such as biometric systems, password systems, and electronic access controls.