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Which one of the following variables is a continuous variable?The height of Year 12 students in a high school.The number of people on a bus.The number of computers in a computer room in a school.The score out of 90 for a test.

Question

Which one of the following variables is a continuous variable?The height of Year 12 students in a high school.The number of people on a bus.The number of computers in a computer room in a school.The score out of 90 for a test.

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Solution

The height of Year 12 students in a high school is a continuous variable.

Here's why:

  1. A continuous variable is a variable that has an infinite number of possible values. In other words, the variable can be measured on a continuous scale.

  2. The height of Year 12 students in a high school fits this description because height is measured on a continuous scale. It can take on any value within a certain range (for example, a student could be 160.02 cm tall, 160.03 cm tall, and so on).

  3. The other options - the number of people on a bus, the number of computers in a computer room in a school, and the score out of 90 for a test - are all discrete variables. Discrete variables can only take on a finite number of values. For example, you can't have 3.5 people on a bus or 20.5 computers in a room.

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