Final answer:
The question focuses on identifying statistical components such as population, sample, parameter, statistic, variable, and data, within the context of a fitness center tracking client exercise times. It also discusses variability in data and types of data and sampling methods used in statistics.
Step-by-step explanation:
The question asked is pertaining to statistics. In the scenario of a fitness center wanting to know the average time its clients exercise weekly, these statistical components can be identified:
- a. Population: All clients of the fitness center.
- b. Sample: A subset of clients chosen from the population for the study.
- c. Parameter: The actual mean time that all clients of the fitness center work out each week.
- d. Statistic: The mean time obtained from the sample of clients.
- e. Variable: The amount of time a client exercises in the center each week.
- f. Data: The actual times recorded for each client in the sample.
For example, in a study to evaluate the effectiveness of a workout program, the variability in weight loss outcomes can be attributed to biological and lifestyle differences among participants, demonstrating the concept of variability within data.
Type of data such as the number of times per week (quantitative discrete) and the method of sampling like systematic sampling are also important concepts in statistics.