Final answer:
A variable that assumes limited, countable values is a discrete variable, while one that can take on any value in a range is continuous. The number of times per week and duration are examples of quantitative discrete and quantitative continuous data, respectively.
Step-by-step explanation:
A variable that assumes only limited values in a range is called a discrete variable. This is in contrast to a continuous variable, which can take on any value within a range.
The number of times per week is an example of quantitative discrete data because it represents data that can be counted, such as the number of classes attended in a week. On the other hand, the duration or amount of time is an example of quantitative continuous data since it can be measured and can take on any value within a range, such as the length of a class period which could be 45 minutes, 47.5 minutes, etc.
Data comes in two types: qualitative, which is attribute-oriented and uses labels, and quantitative, which is numerical and represents measured or counted values. Quantitative data is further split into discrete, which results from counting, and continuous, which results from measuring.