Measures of Central Tendency and Variability Quiz
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Questions and Answers

What is the mean of the original data set without outliers provided in the text?

  • 3.05 (correct)
  • 3.55
  • 2.35
  • 2.95
  • After adding the outliers, what is the new mean of the data set?

  • 3.85
  • 4.05
  • 3.95 (correct)
  • 3.75
  • What remains unchanged even after adding two outliers to the data set?

  • The mode
  • The mean
  • The median (correct)
  • The range
  • Which measure of central tendency is highly affected by outliers?

    <p>Mean</p> Signup and view all the answers

    In the context of the provided text, what is the appropriate measure of central tendency for nominal categorical variables?

    <p>Mode</p> Signup and view all the answers

    For ordinal categorical variables, which measure of central tendency would be suitable?

    <p>Median</p> Signup and view all the answers

    What measure should be used for continuous variables at an interval or ratio level in descriptive statistics?

    <p>Mean</p> Signup and view all the answers

    Which type of variable is manipulated or measured and thought to influence the dependent variable in an experimental research design?

    <p>Independent variable</p> Signup and view all the answers

    What is the term used for a variable that changes as a function of changes in a predictor variable in non-experimental research designs?

    <p>Outcome variable</p> Signup and view all the answers

    Which term is often used interchangeably with 'dependent variable' in research designs outside of experimental research?

    <p>Criterion variable</p> Signup and view all the answers

    In which type of research design are the terms Independent Variable (IV) and Dependent Variable (DV) most commonly used?

    <p>Experimental research design</p> Signup and view all the answers

    What is the term used for a variable that thought to predict an outcome variable, also known as 'criterion variable'?

    <p>Predictor variable</p> Signup and view all the answers

    In quantitative analysis, what do we mainly think of variables as, based on the text provided?

    <p>Independent or dependent</p> Signup and view all the answers

    Which term is more appropriate for variables in non-experimental research designs according to some arguments presented in the text?

    <p>'Predictor Variable'</p> Signup and view all the answers

    What influences how we can describe data, according to the text?

    <p>Level of measurement</p> Signup and view all the answers

    How are variables broadly classified based on the text provided?

    <p>'Categorical' or 'Continuous'</p> Signup and view all the answers

    Which type of variable can change or vary and is stored as numerical values in quantitative analysis?

    <p>Continuous variables</p> Signup and view all the answers

    Study Notes

    Measures of Central Tendency

    • The mean is the average value, but it doesn't provide information about variability in the data.
    • Mode is the most common value in a dataset.
    • Median is the middle value in a dataset when it is arranged in order.

    Variability

    • Range is a measure of variability, calculated by subtracting the minimum value from the maximum value.
    • Standard deviation (SD) measures the average amount values differ from the mean.
    • SD is always used alongside the mean, and it provides information about the amount of variability in the data.
    • A smaller SD indicates less variability, while a larger SD indicates more variability.

    Descriptive Statistics

    • Descriptive statistics are numbers that summarize the data.
    • They include measures of central tendency, percentages, rates, and counts.
    • Descriptive statistics help to understand the characteristics of the data.

    Levels of Measurement

    • Variables can be classified as categorical or continuous.
    • Categorical variables can be further classified as nominal or ordinal.
    • Continuous variables can be further classified as interval or ratio.
    • The level of measurement influences how we can describe the data.

    Types of Variables

    • Independent variable (IV) is manipulated or measured to influence the dependent variable.
    • Dependent variable (DV) is affected by changes in the independent variable.
    • Predictor variable is thought to predict an outcome variable.
    • Outcome variable changes as a function of changes in a predictor variable.

    Research Design

    • Experimental research designs manipulate variables to test their effect on other variables.
    • Non-experimental research designs, such as survey-based research, use different terminology for variables.

    Analysis of Data

    • The mean can be affected by outliers, but the median is not.
    • Different levels of measurement require different types of analysis.
    • The choice of measure of central tendency depends on the level of measurement of the variable.

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    Description

    Test your understanding of measures of central tendency and variability such as mode, median, mean, and range. Learn how to calculate range and interpret variability in data sets.

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