Statistics: Types of Variables
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Questions and Answers

What is the primary characteristic of a variable?

  • It is a measure that is always numerical in nature.
  • It is a fixed factor that cannot change in quality, quantity, or size.
  • It is a factor that can change in quality, quantity, or size. (correct)
  • It is a characteristic that is always categorical in nature.
  • What type of variable cannot be specified in numbers?

  • Numerical Variable
  • Quantitative Variable
  • Qualitative Variable (correct)
  • Random Variable
  • What is an example of a random variable?

  • The number of pages in a book
  • The weight of a pre-school child
  • The height of an adult (correct)
  • The title of a book
  • What is a characteristic of quantitative variables?

    <p>They can be specified in numbers.</p> Signup and view all the answers

    What is true about measurements made on quantitative variables?

    <p>They transfer information regarding amount.</p> Signup and view all the answers

    What is the characteristic of discrete variable?

    <p>It can take limited numbers with gaps between them</p> Signup and view all the answers

    Which of the following is an example of continuous variable?

    <p>Weight of a person</p> Signup and view all the answers

    What is the purpose of measurement?

    <p>To assign numbers to objects or events</p> Signup and view all the answers

    What is the characteristic of nominal scale?

    <p>It is used to classify objects or events into categories</p> Signup and view all the answers

    Which measurement scale is used to classify objects or events into mutually exclusive and collectively exhaustive categories?

    <p>Nominal scale</p> Signup and view all the answers

    Study Notes

    Variables

    • A variable is a factor that can change in quality, quantity, or size, and its characteristics take different values in different persons, places, or things.

    Types of Variables

    • Categorical or Qualitative Variable: A variable that cannot be specified in numbers, and therefore, categories have to be made for it. Examples: title of a book, blood group of a student, gender, and grades of students in a course.
    • Quantitative or Numerical Variable: A variable that can be specified in numbers, and can be measured in the usual sense. Examples: age, weight of pre-school children, number of pages in a book, and weight of a person.

    Random Variable

    • A random variable is a variable whose values obtained arise as a result of chance factors, and cannot be exactly predicted in advance. Example: adult height.

    Discrete Variable

    • A discrete variable is a characteristic that is countable and can take on discrete values. Examples: number of children in a family, birth year of a student, and number of missing teeth.

    Continuous Variable

    • A continuous variable is a characteristic that is measurable and can assume all possible values within a given range of values. Examples: weight, pressure, and skull circumference.

    Measurement

    • Measurement is the assignment of numbers to objects or events according to a set of rules.
    • Nominal Scale: The lowest measurement scale, which involves "naming" observations or classifying them into various mutually exclusive and collectively exhaustive categories. Examples: medical diagnoses, classification of male-female, and well-sick.

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    Description

    Learn about the types of variables in statistics, including categorical and quantitative variables, and how they are used in data analysis.

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