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Which of the following variables is discrete? Check all that apply.

a) Height of individuals
b) Number of students in a class
c) Temperature in degrees Celsius
d) Time taken to complete a task

1 Answer

4 votes

Final answer:

The only discrete variable in the list provided is 'Number of students in a class', as it represents a countable number of individuals that cannot be fractional. The correct option is b.

Step-by-step explanation:

The student's question concerns discrete and continuous variables. Discrete variables are countable in a finite amount of time and cannot have fractional values, whereas continuous variables are measurable and can take on any value within a range, including fractions and decimals.

For the variables listed:

  • a) Height of individuals: This is a continuous variable because it can be measured to any level of precision, such as 175.5 cm.
  • b) Number of students in a class: This is a discrete variable because you can only have a whole number of students in a class.
  • c) Temperature in degrees Celsius: This is a continuous variable as temperature can be recorded to decimal points, such as 22.5 degrees Celsius.
  • d) Time taken to complete a task: This is continuous if measured precisely (like 3.25 hours), but it can be discrete if it's measured in whole units only (like 3 hours).

In this context, the correct answer to the question is:

  • b) Number of students in a class - This is a discrete variable. The correct option is b.

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