Question

Are the calendar months an example of a continuous or discontinuous variable?

Answer 1

Discontinuous

Explanation:

There are `12` months in the Gregorian calendar.
Twelve is a counting number.
`12 in NN`
Since the counting numbers (`NN`) are countable, they deal with the discrete. Discrete is another way of saying not-continuous. Therefore, the calendar months would be a non-continuous random variable.

Any random variable that can only take natural, integer, or rational values is not continuous.

On the other hand if a variable could take values like `e`, `pi`, or `sqrt(2)` then it is continuous