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The Department of Statistics at University of Kentucky surveyed 1111 students asking them the following question: “How many cars your Family own?” This is an example of:Group of answer choicesCategorical VariableNumerical-Discrete VariableNumerical-Continuous VariableQualitative Variable

Question

The Department of Statistics at University of Kentucky surveyed 1111 students asking them the following question: “How many cars your Family own?” This is an example of:Group of answer choicesCategorical VariableNumerical-Discrete VariableNumerical-Continuous VariableQualitative Variable

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Solution

This is an example of a Numerical-Discrete Variable.

Here's why:

  1. A variable is something that can change or vary, and in statistics, it can refer to different types of data that are being measured or collected.

  2. A Numerical-Discrete Variable is a type of numerical variable that can only take certain values (usually whole numbers) and not a range of values. For example, the number of cars a family owns can be 0, 1, 2, 3, etc., but it cannot be 1.5 or 2.7.

  3. This is different from a Numerical-Continuous Variable, which can take any value within a certain range. For example, the weight of a person can be any value within a certain range, not just whole numbers.

  4. A Categorical Variable is a type of variable that can be divided into groups or categories. For example, the color of a car (red, blue, green, etc.) is a categorical variable.

  5. A Qualitative Variable is similar to a categorical variable, but it deals with non-numerical characteristics or qualities. For example, the make of a car (Toyota, Ford, Honda, etc.) is a qualitative variable.

So, in this case, the number of cars a family owns is a Numerical-Discrete Variable because it can only take certain values (whole numbers) and not a range of values.

This problem has been solved

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