Adding shortcodes to multiple pages with function


I am building a plugin that allows users to display information to the front-end of a website.

When users want to display this information they have to add in a shortcode to the page they would like to display the data on. However if a user wants to display this info on every single page then they will have to add this shortcode to each page. Is there a way to automate this process? Can this also be achieved by the use of a single function?