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No, it is a discrete variable. Since there are no fractional people, a count of people can only be a positive integer. For a variable to be continuous, it must be able to take on *any* real value in a domain. So, if populations could take on any real value, including rational and irrational ones, between 1 and say 10^12, including ones like 6.1385391..., then population would be a continuous variable.

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