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Classify the following variables as numerical or categorical:

(a) Time to swim 100 yards (Numerical)
(b) Outcome of free throw (Categorical)
(c) Number of points scored (Numerical)

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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.
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