If the mean, median and mode of a distribution are 5, 6, 7 respectively, then the distribution is what?

Answer 1

The way the question is worded doesn't make it obvious to me whether we are talking about a TYPE of distribution or not. In terms of type of distribution, truncated and heavy-tailed come close but to me neither is a sure choice.

The question also could mean "name a distribution with mean 5, median 6 and mode 7." That I can do. The simplest distribution I could come up with that fits that description is

0, 5, 6, 7, 7

which has that mean, median and mode exactly. If that's not the type of answer sought, I have nothing else to offer.