Variable Discrete or Continuous a The time it takes to drive

Variable

Discrete or Continuous

(a) The time it takes to drive from home to work (or school)

Discrete or Continuous

(b) The temperature of a burrito served to a customer in a local Mexican restaurant

Discrete or Continuous

Discrete or Continuous

Discrete or Continuous

Solution

If there are values that the variable cannot attain, then it is discrete. For example, the number of children in a family is discrete, unless someone has found out a way that you really CAN have 0.3 of a child. If the variable can attain any value, then it is continuous.
(a) Continuous

The time taken to drive from home to work is continuous as it can take any value greater than 0.

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b) Continuous

The temperature of a burrito served to a customer in a local Mexican restaurant can take any value between a specified region \'a\' to \'b\' (say \'30 degrees to 40 degrees\' ). So we can say that the variable is continuous.

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c) Discrete

As the number of students in the class of 35 who improve their score from the first midterm to the second midterm can only take positive integer values from 0 to 35. It can not take values like 2.1 or 4.699. So, we conclude that the variable is discrete.

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d) Discrete

Again, the number of participants whose average time is between 400 and 600 milliseconds will take only integer values between 0 and 12. So, this is also a discrete variable.