If your dataset has an asymmetric bimodal distribution, it is unlikely that a symmetric distribution will accurately model your data. Instead, you may want to consider using a distribution that is better suited to your data, such as a mixture model or a skewed distribution.

A mixture model is a probabilistic model that combines multiple probability distributions to model complex data patterns. In your case, you could use a mixture model with two components to model the two modes of your data. One popular example of a mixture model is the Gaussian Mixture Model (GMM), which assumes that each component follows a Gaussian distribution.

Another option would be to use a skewed distribution, such as the skewed normal distribution, which can capture skewness and asymmetry in the data. The skewed normal distribution is similar to the normal distribution but has an additional parameter that controls the degree of skewness.

In both cases, it is important to select the appropriate model based on your data and the research question you are trying to answer. You may also need to perform some model selection and comparison to determine the best model for your data.
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