Final answer:
Jonathan and Crystal collected numerical data within their statistics class project. The primary data collected was the time taken, in seconds, to eat the ice cream, which is quantitative continuous data. Gender, also recorded, represents categorical data in this context.
Step-by-step explanation:
Jonathan and Crystal collected numerical data for their statistics class project. The data recorded was the time, in seconds, it took each contestant to eat a small cup of ice cream during a contest. This data is considered quantitative because it constitutes measurements of time that can be ordered and have meaningful differences between values. The fact that gender was also recorded does not alter the primary nature of the data collected—it's quantifiable and hence numerical. In statistics, distributions refer to how the values of a variable are spread or distributed across possible values, in this case, the time in seconds.
For the other examples provided, the number of times per week would be considered quantitative discrete data since it is countable. The duration (amount of time) is considered quantitative continuous because it can take on any value within an interval, and the sampling method in the provided study was systematic since every eighth house was selected. The colon of houses is considered qualitative (categorical) data since the colour is used to categorize the houses without numerical value.
In the context of the ice-cream-eating contest, if Jonathan and Crystal were to display their results graphically, they might use a bar graph for gender (categorical data) and a histogram or dot plot for the eating times (numerical data).