Final answer:
A variable with indivisible categories that can be counted is a discrete variable. The number of times per week is a quantitative discrete variable, while the duration is a quantitative continuous variable.
Step-by-step explanation:
A variable that consists of indivisible categories with no other scores existing between neighboring categories is called a discrete variable. Variables can be divided into different types such as numerical, categorical, discrete, and continuous. In this context, the specific type of variable is discrete since it represents countable categories.
When you consider the number of times per week something occurs, you deal with a quantitative discrete variable because it arises from counting occurrences. Duration or amount of time, on the other hand, is a quantitative continuous variable as it involves measurement with potentially infinite divisibility.
The independent variable in a graph or study does not depend on other variables and is often controlled or manipulated by the researcher, while the dependent variable is the one that is being measured or observed for variations in response to the independent variable.