How do they work and what are their benefit?

If you took a language exam and your percentile = 70%, it means that 70% of all participants who took the test — have scored behind you. Alternatively, we can say your score means you're in the top 30% of the group. 

The percentiles of ADR you would see in, for example, A.6. — Rental Calculator, are the same.

We take the yearly ADR of every single listing which is inside of your chosen radius, and then aggregate them by your choosing Data Aggregation type (quarterly, weekly, daily) and showcase you what are the scores of the market. 

When we look at the Median (Q 50%), which we see here is 100$ — it means that we look at the exact price of the listing which is located in the middle of all listings, same quantity of listings to the top and to the bottom. 

From here, the logic is simple — the Q 25% means that 25% of the listings are below the $75 ADR. If we go to the 75% Quartile — it means that the 75% of the listings are below the $142 ADR. 

Using this logic, seeing properties which are pricier than the Quartile of 90%, which is $216, is fine, as it will not show you prices above the 90% percentile.

Why they're a great way to show data? — A percentile gives a much better sense of the real-world performance, because it shows a slice of the performance groups. They're a fantastic way to avoid data skewing, because you'll have more metrics to look at which happen to be representative of the experiences of that data. If needed, you can filter this data to narrow down your query, or talk to your account manager on your idea on how to use it.