Final answer:
In Mathematics, variables can be classified as numerical or categorical. Time to swim 100 yards and the number of points scored are numerical variables, while the outcome of a free throw is a categorical variable.
Step-by-step explanation:
The subject of this question is Mathematics, specifically the classification of variables as numerical or categorical. There are two main types of variables:
- Numerical variables have values with equal units and it makes sense to perform mathematical operations on them, such as calculating an average.
- Categorical variables place an individual or object into a category, and mathematical operations like calculating an average do not make logical sense for these types of variables.
Now, let's classify the given variables:
- (a) Time to swim 100 yards - This is a numerical variable because time can be measured and has equal units (seconds, minutes, etc.).
- (b) Outcome of a free throw - This is a categorical variable as it would typically categorize outcomes into 'made' or 'missed'.
- (c) Number of points scored - This is a numerical variable as points are counted and have equal units.