Text passwords based authentication continues to be one of the widely utilized authentication technique to secure confidential and sensitive information owing to their ease of implementation, and cost-effective nature. However, in the recent years, there has been an increasing trend in password breaches leading to the leakage of sensitive information such as the user data. Such events bolster the need to strengthen the password making it elusive to be comprised. Most of the existing works in the literature develop mechanisms to strengthen the passwords by assigning equal importance to all the factors influencing the password strength. But in our work we intend to propose a tunable weight or bias based password strength assessment framework that auto-assigns weights to the pertinent password strength factors based on the magnitude of the security levels associated with the organization. Evaluation results on the open-source datasets highlights the efficiency of our proposed framework. Furthermore, the framework is containerized for easy deployment in any software architecture.