Z-Scores and Standardization Quiz
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Questions and Answers

What is the purpose of using Z-scores?

  • To determine the range of the data set
  • To enable comparison of scores when direct comparison of raw scores is impossible (correct)
  • To convert categorical variables into numerical variables
  • To calculate the mean of the data set
  • What does a positive Z-score indicate?

  • The data value is equal to the mean
  • The data value is below the mean
  • The data value is an outlier
  • The data value is above the mean (correct)
  • How is the Z-score calculated?

  • z = (X + X̄) / S
  • z = (X / X̄) * S
  • z = (X * X̄) / S
  • z = (X - X̄) / S (correct)
  • What is the value of Q1 in relation to the ordered data?

    <p>It corresponds to the 25th percentile</p> Signup and view all the answers

    What is the rank of Q3 in relation to the data?

    <p>It is at 3/4th position when the data is ordered</p> Signup and view all the answers

    What is the relationship between Q1 and Q2?

    <p>Q2 is the median of the data that lies below Q1</p> Signup and view all the answers

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