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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.

Q: Is birth rate a continuous variable?

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Continuous.Continuous.Continuous.Continuous.

It is a continuous variable.

Yes. It is a continuous variable. As used in probability theory, it is an example of a continuous random variable.

No, Patient's gender is not a continuous variable. It is discrete variable.

No, it is a continuous process but not a continuous variable. The magnitude of star-shine, across all stars is a continuous variable. The magnitude of a star's shine over time is a continuous variable.

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Continuous.Continuous.Continuous.Continuous.

discrete

Your date of birth will never vary, it will always be the same.

It is a continuous variable.

It is a continuous variable.

It is a continuous variable.

Yes. It is a continuous variable. As used in probability theory, it is an example of a continuous random variable.

No, Patient's gender is not a continuous variable. It is discrete variable.

No, it is a continuous process but not a continuous variable. The magnitude of star-shine, across all stars is a continuous variable. The magnitude of a star's shine over time is a continuous variable.

ocean depth is a continuous or discrete variable?

Not continuous => Discrete variable. Continuous => Continuous variable.

Continuous variables have an unlimited number of possibilities between two points. In the scientific realm, age is a continuous variable.