asfand1: If you are talking about counting stars as individual units I agree that they are discrete - like counting books or grains of sand. Perhaps your teacher is assuming that the number of stars is infinite (astronomers disagree about that, so it's a poor example to use). For things that can range to infinity you can think of the jump between any two possibilities as being infinitely small compared to the whole range of possibilities. In that sense you can model stars as being a continuous variable.
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