Final answer:
The discrete variable among the options for data about a track team is the coach’s rating, as it is typically measured on a fixed scale which makes it countable and finite in nature, unlike the other options which are continuous. Option number d is correct.
Step-by-step explanation:
The question Which of the following variables for data about a track team is a discrete variable? is focused on differentiating between discrete and continuous variables within the context of a high school track team. Discrete variables are those that can only take on a finite number of values, often represented by whole numbers, and are countable in nature. Let's examine the options provided:
- Running distance: This is a continuous variable because it can take on any value within a range, having infinite possible measurements based on the precision of measurement.
- Athlete’s weight: Similar to running distance, weight is a continuous variable since it can be measured to various degrees of precision and can have infinite possible values within a range.
- Running time: While it may seem discrete at first, running time is actually a continuous variable because it can have infinite possible fractional values, depending on the accuracy of the timing method.
- Coach’s rating: This is typically a discrete variable, especially if the rating is on a fixed scale (e.g., 1-10).
Therefore, based on the information above, the discrete variable among the options is coach’s rating.