First, I would listen carefully to my manager's interpretation without interrupting. This helps me understand exactly where the misunderstanding lies and shows respect for their perspective. After understanding the area which led to the confusion, I would politely explain the correct interpretation by referring back to the data, charts, or specific parts of the analysis. If the analysis is complex, I would break it down into simpler terms and use relatable examples or analogies to make it easier to understand. I think this kind of an approach will help to move forward by suggesting actionable steps or revisiting the analysis together to ensure alignment.

My approach to resolving differing interpretations begins with open listening. Understanding the other person's perspective is paramount before introducing my own. Only after fully comprehending their viewpoint do I clarify my understanding, grounding my perspective in clear, focused data and evidence. This approach facilitates a shared understanding, enabling necessary adjustments. I believe open communication is key to deconstructing misunderstandings, and whenever possible, I prioritise face-to-face conversations over written communication.

It's crucial to address misunderstandings promptly and professionally. I'd first seek a private conversation with my manager, calmly explaining the analysis again, and focusing on the key takeaways and their practical implications. I'd use clear, concise language, avoiding jargon, and perhaps visualize the data differently to aid comprehension. If the misinterpretation persists, I'd document my understanding and the correct interpretation, sharing it respectfully while emphasizing my commitment to accurate reporting. Open communication and a collaborative approach are key to resolving these situations.

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Be patient, listen to their perspective without bias, and acknowledge their point of view. Share your insights & recommendations again - avoid jargon and technical details, use visuals and relatable analogies, get examples of prior analyses that have lead to successful outcomes. Focus on the key insight & business implication while reframing your analysis and narrating your story from your manager’s perspective. Engage in constructive dialogue, be cognizant of business realities, and acknowledge any limitations of your analytical methods. Follow up with a concise and written summary. Offer additional support and make yourself available for further discussions. Over time, build statistical & analytical literacy by introducing basic concepts.