No it is not a continuous variable because whilst you could have telephone numbers such as 123456 and 123457 you could not have a telephone number that was in between these two such as 123456.5.
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A quantitative variable where there is a continuous (no infinite number) of attributes. For example length/height/weight can be measure as continuous as it has not set number
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.