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

1 Answer
Jan 27, 2017

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