Question

random variables that can take on any value in some interval are called ______ random variables.

Explanation:

In the context of statistics (a subfield of Mathematics), random variables that can take any value within an interval are defined as continuous random variables. This is a key concept in probability and statistics where continuous random variables have uncountably many possible values (e.g., height, weight, time) as opposed to discrete random variables which take distinct, separate values.

Answer:

continuous