Power BI developers manage statistical outliers by using data cleaning techniques to identify and handle anomalies that may skew results. They apply filters, conditions, and custom DAX measures to detect values that deviate significantly from the norm. Power BI developer can visualize these outliers using box plots, scatter charts, or histograms, highlighting extreme values for further investigation. In some cases, they may choose to exclude or flag outliers depending on the business context, ensuring that the statistical analysis remains accurate and relevant without being unduly influenced by atypical data points.