Who is in the room and what they already think
The same analysis needs different delivery to different audiences, and the variable that matters most is not seniority or technical background. It is what they already believe.
Three cases behave completely differently.
The audience has no prior view. This is the easy case and the rarest. Present the finding clearly and they will take it.
The audience already believes what you found. Also easy, and worth noticing that this is where analysis is least valuable, because you have confirmed a decision that was going to be made anyway. Analysts systematically over-invest here because the reception is pleasant.
The audience believes the opposite. This is where the work matters and where presentations fail. Contradicting evidence is scrutinised far harder than confirming evidence, which is a well-documented feature of how people evaluate arguments rather than a failing of your particular audience. Your method will be questioned in ways it would not be if you had found the expected answer.
What that implies practically. When your finding contradicts a held view, the standard of evidence you need is genuinely higher, and it is worth investing in the parts of your analysis most likely to be attacked before the meeting rather than during it.
And there is a fourth case worth naming, because it changes everything: someone in the room has a personal stake in the answer. Their project, their budget, their earlier recommendation. That is not a data conversation any more, and pretending otherwise is how analysts get blindsided. The last steps of this lesson deal with it directly.

