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Introductory Statistics: Classifying Variables and Data Collection

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Termini in questo insieme (20)

  • What is a variable in statistics?

    A variable is a characteristic of interest to be measured for individuals in a group (population), yielding data.

  • What is data in statistics?

    Data is the result when a variable is measured, either as qualitative (categorical) or quantitative (numerical) responses.

  • How do you classify a variable as qualitative or quantitative?

    If the variable describes a category, it is qualitative. If it measures or counts a quantity, it is quantitative.

  • What are the two types of qualitative variables?

    Nominal: categories with no natural order.
    Ordinal: categories with a natural order.

  • What are the two types of quantitative variables?

    Discrete: values are counted.
    Continuous: values are measured.

  • Give an example of a qualitative nominal variable.

    A student's major or ZIP code, which are categories with no natural order.

  • Give an example of a qualitative ordinal variable.

    A student's class year (first-year, sophomore, junior, senior) or course rating (poor, fair, good, excellent).

  • Give an example of a quantitative discrete variable.

    The number of courses a student is taking or the number of siblings a student has, which are counted values.

  • Give an example of a quantitative continuous variable.

    The number of hours a student slept or a student's height, which are measured values.

  • What question should you ask to classify a variable?

    Does the variable describe a category or measure/count a quantity? If category → qualitative; if quantity → quantitative.

  • How to further classify qualitative variables?

    Check if categories have a natural order: no order → nominal; natural order → ordinal.

  • How to further classify quantitative variables?

    Check if values are counted or measured: counted → discrete; measured → continuous.

  • What type of variable is 'number of students attending a college'?

    Quantitative and discrete, because it is a counted number.

  • What type of variable is 'availability of on-campus housing'?

    Qualitative, because it is a categorical yes/no response.

  • What type of variable is 'cost of tuition'?

    Quantitative and continuous, because it is a measured amount.

  • What type of variable is 'typical class size'?

    Quantitative and discrete, because it is a counted number of students.

  • What type of variable is 'college location region'?

    Qualitative, because it is a categorical variable with no natural order.

  • Why is a ZIP code considered qualitative even though it contains numbers?

    Because ZIP codes are labels without meaningful numerical order, making them qualitative nominal variables.

  • What is the difference between discrete and continuous quantitative variables?

    Discrete variables are counted values; continuous variables are measured values that can take any value in a range.

  • What is the research objective in data collection?

    The main question or problem that guides what data to collect and analyze.