Start on the rooftop to the East of the collectible and find the interactive anchor point shown in the screenshot. Use the grapple to extend the rope. Grab onto the rope and start your way along it, which will take you to a weakened fragment of the wall, through which Batman will automatically ram. You can now collect the Datapack.
Find the ledge with the box, with the collectible in it, and a pressure plate. Walk onto the plate and wait for Batman to turn towards the Southern container shown in the above screenshot. Throw a remote controlled batarang towards the container and make it fall inside.
Slow down the batarangs flight and fly around the obstacles in your way. After the batarangs reaches the end of the container, turn by 180 degrees and direct it towards the opening shown in the screenshot. Continue the flight and hit the green button. Wait until you cut back to Batman and collect the Datapack.
Datapack 7 (The Final Offer ship)
The Datapack is in the South-Eastern part of the Theater and you can collect it without using additional gadgets. You can access the location with the collectible through the passage shown in the above screenshot. (you need to slide here).
Datapack 8 (The Final Offer ship)
The collectible is in a seemingly inaccessible area in the Northern part of the Theater. Take the venting shafts in the floor and switch to the first-person view. Thanks to this, you will find additional branches. Explore all of the tunnels thoroughly and they will take you to the secret room shown in the screenshot, where there is the Datapack.
Datapack 9 (The Final Offer ship)
The collectible is in the Deck Access Corridor between the Boiler Deck and the Upper Deck.
Stop after you reach the area shown in the above screenshot, i.e. to the North of the collectible. During your first visit to this place, you have used the gel to blow up the wall on the right.
The collectible is inside one of the pipes
Turn by 180 degrees and go South. Crouch along your way, to access a small room. Look up and grab the Datapack using the claw.
Datapack 10 (The Final Offer ship)
The collectible is in the Foyer, i.e. in the location between the casino and the theater. Examine the Eastern part of this area, to find a wall that can be demolished with the explosive gel. After you have unlocked the passage, collect the Datapack.
For finding all of the datapacks, you are rewarded with the audio file connected with Warden Joseph.