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See this picture, in parentheses are (arrival time, execution time required)

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Why doesn't the "p5" process is processed before "p6"? Why do p3 and p4 are finished and p5 is executed only after the processes that arrive at "11" are executed?

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In round-robin scheduling, every process is put into a big queue as soon as they arrive. When a process gets to the front of the queue, it is treated for some fixed number of time-steps (in your case 3 steps, as I suppose is also what's meant by the text "Quantum = 3"). If the process is not finished when its time is up, it gets stowed in the back of the queue. So when Process 5 is done at step 12, it gets stowed in the back of the queue, behind all the processes that arrived at step 11.

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