Final answer:
The sum of dots when two dice are rolled is a discrete variable, as these values are countable and distinct, with a limited range of possible outcomes.
Step-by-step explanation:
The sum of dots when two dice are rolled is a discrete variable. This is because the sum is a result of counting the dots on the dice, which can only result in a finite number of possible outcomes, ranging from 2 to 12. Each possible outcome is distinct and countable, unlike a continuous variable, which would be measured and could take on any value within a range. The characteristics of a discrete probability distribution function confirm this, where each outcome has a probability between zero and one, and the sum of all probabilities equals one.
Considering other types of data, the sum of dice is not a constant as it can change with each roll; it's not a qualitative variable because it deals with numbers, not descriptive labels; and it is certainly not a continuous variable since it does not involve measurements that can take on any value within a range.