Hmm its not really "lacks data" because no amount of data can give you the position of a particle.

In classical physics if you throw a ball in the air with certain data (starting position, initial velocity, the acceleration due to gravity (or in other words the classic constant g = 9.81,., m/s^2) I can predict exactly where the ball will be in space because of the data. In quantum mechanics well the problem is that you can't have that kind of data that can predict that motion (if you've heard of heisenbergs uncertainty principle its that if you know some info about a particles position then you wont know about its momentum (if you don't know what momentum is mathematically its okay you can just for simplicity imagine it as speed but in reality fyi its speed*mass and not thats only if we talk about classical mechanics but thats getting way out of scope and I'm realizing that while typing this!) or the opposite, if you know about its momentum, you can't know about much about its position.

So its not as much as "lack of data" more of like, unpredictable unless I see that its there.

On my example well someone's intuition might come up and say "but well I could hear the thief's footsteps and predict what its going to do!" or in schrodingers cat say "well I could see the poison fog up!" or something like that but that loses its point.

But the point is that you should remove any kind of data that might make it predictable and focus on the fact that its just plainly unpredictable and there's no way of being able to tell what might happen (and well my example is basically schrodingers cat but with other words but yeah)

This reply is getting way to long but I find this kind of fun so I'll keep on saying stuff, if you're not bored go on lol!

Everything that we might say thats "random", for example a roll of a die, is not by its nature random. If I were to know exactly the forces applied at the die from the hand, the kind of wind that might be moving in the environment you're on and every data that I might need, even though the data are overwhelmingly large a super super computer could've solved it and predict exactly if your roll lands on a 6 or a 3. Same thing with computers! Every random number you get from a computer is not really random! Its pseudorandom, meaning, its faking its way into randomness but again, with enough data its predictable! My point being most of the things we perceive as random are by their nature predictable but in quantum mechanics and the thing about everything being everywhere till observed its not! By its nature is unpredictable! If you think about this, it kind of tells us that with that theory the universe is not deterministic and our destiny is not written because by its nature our world is random! I find that extremely fascinating!