Measures of Dispersion in Statistics
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Questions and Answers

What does statistical dispersion refer to?

  • The standard deviation of the data set
  • The state of getting dispersed or spread
  • The variability of numerical data around an average value (correct)
  • The homogeneity of the data set

    • Which measure of dispersion expresses variations in terms of the average of deviations of observations?

  • Quartile deviation
  • Variance (correct)
  • Standard deviation
  • Range

    • What does the range in a data set represent?

  • The spread between maximum and minimum values (correct)
  • The variance
  • The standard deviation
  • The mean value

    • How is variance calculated in a data set?

    <p>Subtract the mean from each data point, square them, sum all squares, then divide by total values</p> Signup and view all the answers

    What does standard deviation measure in a set of numerical data?

    <p>The variability of individual data points around the mean</p> Signup and view all the answers

    How does an absolute measure of dispersion differ from a relative measure?

    <p>Absolute measures express variations in terms of the original unit, while relative measures do not</p> Signup and view all the answers

    What does dispersion help in understanding about numerical data?

    <p>The distribution and variability around an average value</p> Signup and view all the answers

    Which measure of dispersion is the difference between the maximum and minimum values in a data set?

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

    What does the variance measure in a data set?

    <p>The spread or scatter of all data points around the mean</p> Signup and view all the answers

    Which measure of dispersion uses the individual deviations from the mean?

    <p>Standard deviation</p> Signup and view all the answers

    What does statistical dispersion refer to?

    <p>The likelihood of numerical data varying around an average value</p> Signup and view all the answers

    How is variance calculated in a data set?

    <p>By taking the absolute difference between each data point and the mean, and then dividing by the total number of data points</p> Signup and view all the answers

    What does an absolute measure of dispersion express?

    <p>The variation in terms of the average deviations from the observations</p> Signup and view all the answers

    How does dispersion help in understanding numerical data?

    <p>It shows how homogeneous or heterogeneous the data is</p> Signup and view all the answers

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