Scales of Measurement
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Questions and Answers

What is a characteristic of an individual or organization that can be measured or observed?

  • A scale
  • A measurement
  • A category
  • A variable (correct)

    • What type of variable is defined by the categories into which individuals fall?

  • Discrete
  • Categorical (correct)
  • Continuous
  • Numerical

    • What is the level of measurement that uses numbers to indicate rank or order?

  • Ratio
  • Nominal
  • Interval
  • Ordinal (correct)

    • Which level of measurement has an absolute zero point?

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

    What is a characteristic of numerical variables?

    <p>Defined by numbers</p> Signup and view all the answers

    What is the main difference between discrete and continuous variables?

    <p>Discrete variables are obtained through counting, while continuous variables are obtained through measurement</p> Signup and view all the answers

    What is the primary purpose of nominal level of measurement?

    <p>To identify or categorize individuals</p> Signup and view all the answers

    What is the main limitation of using the range to measure variability?

    <p>It can be greatly affected by outliers in the data</p> Signup and view all the answers

    What is the formula to calculate the range of a set of data?

    <p>R = Highest Score - Lowest Score</p> Signup and view all the answers

    What is the primary use of measures of variability?

    <p>To describe the amount of spread or dispersion in a dataset</p> Signup and view all the answers

    What is the variance of a dataset?

    <p>The expectation of the squared deviation of a random variable from its mean</p> Signup and view all the answers

    What is the range of the scores given in the example: 75, 60, 50, 35, 80, 48, 100, 80, 46?

    <p>45</p> Signup and view all the answers

    What is variability in a statistical distribution or dataset?

    <p>The extent to which data points differ from each other and the mean value</p> Signup and view all the answers

    What is the significance of a low standard deviation?

    <p>The data points tend to be close to the mean of the set</p> Signup and view all the answers

    What is the formula to calculate the variance?

    <p>s = √(X - Xm)^2 / n</p> Signup and view all the answers

    What does a negative skew indicate?

    <p>The left tail is longer</p> Signup and view all the answers

    What is kurtosis a measure of?

    <p>The sharpness of the peak of a frequency-distribution curve</p> Signup and view all the answers

    What is the kurtosis of any univariate normal distribution?

    <p>3</p> Signup and view all the answers

    What is the purpose of the standard deviation?

    <p>To quantify the amount of variation or dispersion of a set of data values</p> Signup and view all the answers

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