Masked Language Models (MLMs) have been successful in many natural language processing tasks. However, real-world stereotype biases are likely to be reflected in MLMs due to their learning from large text corpora. Most of the evaluation metrics proposed in the past adopt different masking strategies, designed with the log-likelihood of MLMs. They lack holistic considerations such as variance for stereotype bias and anti-stereotype bias samples. In this paper, the log-likelihoods of stereotype bias and anti-stereotype bias samples output by MLMs are considered Gaussian distributions. Two evaluation metrics, Kullback Leibler Divergence Score (KLDivS) and Jensen Shannon Divergence Score (JSDivS) are proposed to evaluate social biases in MLMs The experimental results on the public datasets StereoSet and CrowS-Pairs demonstrate that KLDivS and JSDivS are more stable and interpretable compared to the metrics proposed in the past.