Final answer:
Nicholas is gathering discrete quantitative data, as the number of gyms in his area can only be whole numbers, representing a countable quantity.
Step-by-step explanation:
When Nicholas is collecting data on the number of gyms in his area, he is gathering discrete quantitative data. This type of data results from counting and takes on specific numerical values. For example, Nicholas could find that there are 0, 1, 2, or more gyms, but he cannot have a fraction or decimal number of gyms. Hence, this data is categorized as discrete because it can be counted in whole numbers.
Final answer:
Nicholas is gathering discrete quantitative data as the number of gyms in his area can only be whole numbers, representing a countable quantity.
Step-by-step explanation:
When Nicholas is collecting data on the number of gyms in his area, he is gathering discrete quantitative data. This type of data results from counting and takes on specific numerical values. For example, Nicholas could find that there are 0, 1, 2, or more gyms, but he cannot have a fraction or decimal number of gyms. Hence, this data is categorized as discrete because it can be counted in whole numbers.
Quantitative data involves numerical values that represent measurable quantities. In this case, the number of gyms is a countable and distinct value, making it discrete. Discrete data consists of separate, distinct values and does not have any intermediate values between them.
Qualitative data, on the other hand, is descriptive and non-numerical. Continuous quantitative data would involve measurements with infinite possible values within a given range, while Nicholas is likely counting whole numbers of gyms.
Therefore, the most appropriate classification for the data Nicholas is collecting is discrete quantitative data, as it involves counting a distinct number of gyms in his area.