Final answer:
The question falls under the Mathematics subject, specifically within the area of statistics as it deals with concepts like population, sample, and data in relation to a fitness program's effect on exercise habits.
Step-by-step explanation:
The subject of this question is clearly within the field of Mathematics, as it involves identifying statistical components such as the population, sample, parameter, statistic, variable, and data within different scenarios related to physical fitness and health. Here are some examples clarifying these components:
- Population: In exercise number 46, the population would be all the clients of the fitness center.
- Sample: For the exercise involving 100 clients using a facility (X), the sample is those 100 clients.
- Parameter: Regarding exercise number 46, the parameter would be the mean time all clients spend exercising weekly.
- Statistic: If we were to take an average of the sample of 100 clients (X), that average would be our statistic.
- Variable: In exercise number 76, the variable X represents the weight loss of an individual following the program for one month.
- Data: For the Try It question, data refers to the number of machines in each of the five gyms sampled.
The differences in the outcomes of weight loss in exercise 72 could be attributed to individual variability since all other variables are constant. When graphing probability distributions, it’s important to remember that the area under the curve represents the likelihood of various outcomes.
In exercise 8, the personal trainer is comparing the expected maximum weights to the actual maximum weights lifted, which involves collecting data and possibly using statistical analysis to evaluate the effectiveness of her program.