The phrase "displayed based on" is correct and usable in written English.
You can use it when referring to something being presented in relation to a criterion. For example, "The items in the store are displayed based on type of product."
As if in anticipation of the smaller, gentler Hummer that General Motors displayed, based on a pickup truck chassis, and the equally macho Dodge MaxxCab pickup, Ford served up a design study called the Equator, a brutal four-door utility vehicle with a pickup box.
Various stats are calculated and displayed based on feedback ratings by others (see screen shot below).
An immediate feedback will be displayed based on the learner's choice.
The basic equations of FGM sandwich conical shells are displayed based on the Donnell shell theory.
Results are displayed based on accuracy, relevance and importance, particularly useful for results for common names ("John Smith").
The surface model of 2-D wing scale were set up and displayed based on SEM observations.
Google selects the sponsored links it displays based on both the amount of the customer bid and the relevance to the search query.
But they might otherwise never be seen, because Netflix only chooses a very limited number of those genres to display, based on what users have previously watched.
The expression of the genes was presented by a hierarchical cluster displaying based on Pearson correlation coefficient (PCC) values.
Developers can now specify which image to display based on the resolution the device is capable of.
Some sites have also begun offering enhanced personalization of the content they display, based on the contents of a Facebook user's profile.
