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Which of the following variables for data about a track team is a discrete variable?

a. Running distance
b. Athlete’s weight
c. Running time
d. Coach’s rating

User Binkie
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1 Answer

5 votes

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.

User Danny Elliott
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