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If by Birth Rate you mean the number of births during a given period of time then the answer is yes. The rate may be further qualified, for example, as the number per 1000 women of childbearing age but that does not alter the nature of the variable.

If, however, by birth rate you mean the number of births WITHOUT the time element, the measure becomes discrete.

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15y ago

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Q: Is birth rate a continuous variable?
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