Final answer:
Quantitative variables that can be counted or measured regarding snow occurrences include the number of inches of snow, number of inches of melted snow, and the number of snow-fall-related injuries. These provide specific numerical values, unlike qualitative variables like season or day, which describe characteristics without a numerical value.
Step-by-step explanation:
When identifying quantitative variables, we are looking for data that can be counted or measured and which express a numerical value. In the context of snow occurrences, the variables that are quantitative would include:
- Number of inches of snow
- Number of inches of melted snow
- Number of snow-fall-related injuries
The above variables are considered quantitative because they all describe something with a specific numerical value attached, similar to a temperature measurement being described with a number, which is quantitative. Other options, like season, day of the week, and types of cancellations, do not provide numerical values and are thus qualitative variables. Qualitative data describe qualities or characteristics that cannot be expressed numerically, such as the appearance or type of something.
It's important to recognize that quantitative data can further be categorized as either discrete or continuous. Discrete data represent items that can be counted and have a finite number, such as the number of snow-fall-related injuries. Continuous data can take on any value within a range, like the inches of (melted) snow which could be measured to several decimal places. Both cases mentioned are examples of quantitative data within the context of a snow event.