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Which of the following pairs of data include one discrete and one continuous variable?Weight and height of a class of students.Weight of sugar and volume of milk in a cake recipe.Number of pages and number of words in a book.Duration of a game of chess and the number of moves to check-mate.

Question

Which of the following pairs of data include one discrete and one continuous variable?Weight and height of a class of students.Weight of sugar and volume of milk in a cake recipe.Number of pages and number of words in a book.Duration of a game of chess and the number of moves to check-mate.

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Solution

The pair that includes one discrete and one continuous variable is "Number of pages and number of words in a book".

Here's why:

  1. Weight and height of a class of students: Both are continuous variables. Weight and height can take on any value within a certain range, not just whole numbers.

  2. Weight of sugar and volume of milk in a cake recipe: Both are continuous variables. They can take on any value within a certain range, not just whole numbers.

  3. Number of pages and number of words in a book: This pair includes one discrete and one continuous variable. The number of pages is a discrete variable because it can only take on whole numbers. You can't have half a page. The number of words, however, is a continuous variable because it can take on any value.

  4. Duration of a game of chess and the number of moves to check-mate: Both are discrete variables. The duration of a game can be measured in whole minutes or seconds, and the number of moves to checkmate can only be a whole number. You can't make half a move in chess.

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