Which of the following variable(s) are both quantitative and continuous? 1. The amount of tar in a cigarette, measured in milligrams (mg). 2. The number of people living in a house. 3. The time it takes in minutes for a student to walk from the parking lot to their classroom. 4. Whether or not a person has been a victim of crime.

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Answer:

Following options are both quantitative and continuous.

1. The amount of tar in a cigarette, measured in milligrams (mg).

3. The time it takes in minutes for a student to walk from the parking lot to their classroom.

Explanation:

Quantitative variables are the numerical variables which can be measured. For example, population of a city.

Continuous variables are also numeric but it have any number of values between its minimum and maximum value. Like in statistics we have age, height, color of eye etc as continuous variables.

In the given options, Option 1, amount of tar cigarette, is both quantitative and continuous as it have numeric value between any two values.

3. Time is measured and can range between any two values (to walk from parking area to classroom) so it is both quantitative and continuous.

Variables that serves as both quantitative and continuous are;

1. The amount of tar in a cigarette, measured in milligrams (mg).

3. The time it takes in minutes for a student to walk from the parking lot to their classroom.

  • Quantitative variables can be regarded as variables that can be measured base on numeric scale.

These numeric scales could be

  • Height
  • weight
  • response time
  • subjective rating of pain
  • temperature

  • The amount of tar in a cigarette can be measured with the unit of milligrams, hence it is quantitative and continuous.

Therefore, quantitative variables can be measured.

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