Q: Is patient gender a continuous variable?

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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, 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.

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

Continuous variable is one like temperature, and discrete variable are ones like male and female. So if you are looking at temperatures between 90 and 100 degrees, there is an infinite number of them. Say between 99 and 99.1, we have 99.05 and between that and 99 we have 99.005 etc. The variable is continuous because it can take on any value between 90 and 100. But if you are talking about gender, than it is either male of female and not continuous. Having said all this, now we define a continuous variable A continuous is one for which, within the limits the variable ranges, any value is possible. So what about time? If the variable is how long it take to read this answer, is that discrete? NO, it is continuous. A five point scale is an example of a discrete variable.

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It is a discrete random variable.

Im pretty sure its discrete as it can only be 2 outcomes

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.

A variable is something that can take different values. These values may be qualitative (colour, gender, favourite singer etc) or quantitative. A continuous variable must be quantitative such that it can take all values between its lowest (minimum) and highest (maximum). The variable is independentif its value is not affected by the value of any other variable under consideration.

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.

yes a gender is a categorical variable

Continuous variable is one like temperature, and discrete variable are ones like male and female. So if you are looking at temperatures between 90 and 100 degrees, there is an infinite number of them. Say between 99 and 99.1, we have 99.05 and between that and 99 we have 99.005 etc. The variable is continuous because it can take on any value between 90 and 100. But if you are talking about gender, than it is either male of female and not continuous. Having said all this, now we define a continuous variable A continuous is one for which, within the limits the variable ranges, any value is possible. So what about time? If the variable is how long it take to read this answer, is that discrete? NO, it is continuous. A five point scale is an example of a discrete variable.