If you want to compete against others across a series of different Jobs then try launching a Playlist - stay in the action with minimum downtime as you go from Job to Job seamlessly.
Each Job is scored individually and a running total shows how you compare across the whole Playlist – so you won’t be punished for an isolated incident or a bit of bad luck.
You can make your own Playlists, or try some of the Rockstar Created ones – find these options in the Playlists section of the Online menu.