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Federated learning (FL) is a novel collaborative machine learning framework designed to preserve privacy while enabling the creation of robust models. This paradigm addresses a growing need for data security by allowing multiple participants to contribute to a model without exposing their individual datasets. A pivotal issue within this framework, however, concerns the fair and accurate attribution of contributions from various participants to the creation of the joint global model. Incorrect contribution distribution can erode trust among participants, result in inequitable compensation, and ultimately diminish the willingness of parties to engage or actively contribute to the federation. While several methods for remunerating participants have been proposed, little attention was given to the analysis of the stability of these methods when evaluating contributions, which is critical to ensure the long-term viability and fairness of FL systems. In this paper, we analyse this stability through the calculation of contributions by gradient-based model reconstruction techniques with Shapley values. Our investigation reveals that Shapley values fail to reflect baseline contributions, especially when employing different aggregation techniques. To address this issue, we extend on established aggregation techniques by introducing FedRandom, which is designed to sample contributions in a more equitable and distributed manner. We demonstrate that this approach not only serves as a viable aggregation technique but also significantly improves the accuracy of contribution assessment compared to traditional methods. Our results suggest that FedRandom enhances the overall fairness and stability of the federated learning system, making it a superior choice for federations with limited number of participants.