Final answer:
A score on a 5-point algebra quiz is an example of quantitative discrete data since it represents countable outcomes. Option b) Quantitative data is the correct answer.
Step-by-step explanation:
A score on a 5-point quiz measuring knowledge of algebra is an example of quantitative data. To dive deeper, quantitative data are always in the form of numbers, which are the result of counting or measuring attributes of a population. Now, within quantitative data, there can be two types: discrete and continuous. Discrete data are countable in a finite amount of time and, put simply, are the numbers that are countable. For example, the number of books a student carries, which can only be whole numbers. Continuous data, on the other hand, can take on any value within a range and often involve measurements, thus allowing for fractional or decimal values, such as the length or the weight of something.
Applying these definitions to the quiz score scenario, a score out of 5 can take on a limited number of values (1, 2, 3, 4, or 5), representing a countable number of outcomes on the quiz. Therefore, such a score is classified as quantitative discrete data. This narrows our answer down to one choice, and thus the correct option in the final answer is (b) Quantitative data.