If someone asks for the median, you supply the median if possible
I wouldn't. I have seen first-hand so many projects that took weeks of efforts, because we assume the person making the requirements used perfect language, when they could have been done in a day instead. One word can be the entire difference.
Maybe it happens to you in a big company: "the VP said '...'", so you must do exactly as the VP said. In practice, it turns out that the VP, just like Mary, could easily agree they didn't care if it's median or mean, they just need some number that summarizes the data.
Understanding the customer is key.