Stakeholders who don't understand your data are not going to be convinced by more of it. But the mistake happens earlier than the slide deck. Buy-in doesn't start with what you're presenting, it starts with what you're hearing. Before you try to convince anyone of anything, you need to understand their story: what they're worried about, what's at risk for them, what they think is really going on in the organization.
Once you actually understand their concerns, you package what you're saying into a story that matches what's really going on, a situation they recognize, a tension that puts something they care about at risk, and a resolution that only happens if they act. 'Right now we're shipping with a known defect rate. If nothing changes, we hit the returns spike we saw in Q3 again, and support gets buried right before the holiday push.'
The data comes in as backup, to express and confirm that what you're saying is true. Now they want to know the defect rate, because they already understand why it matters. Then you close the loop: address whatever knowledge gap you opened at the beginning, so nobody leaves the room holding an unanswered question you created.
This is not a technique for manipulating people. It's the opposite: you're opening your ideas up as clearly as possible to their inquiry. If they see things you don't see, you want that, because when the criticism comes, you're able to absorb it and make the idea better for everyone. That's the real flow: understand their story, tell one that matches reality, confirm it with data, close the gaps, and invite the room to improve it.
Mirroring surfaces what stakeholders actually care about; storytelling arranges your data around it; inquiry makes the idea better than the one you walked in with.