Statistics: Percentiles, Coefficient of Variation, and Five Number Summary
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Questions and Answers

What is the coefficient of variation?

  • Mean of data divided by its standard deviation, expressed in percent
  • Standard deviation of data divided by its mean, expressed in percent (correct)
  • Range of data divided by its interquartile range
  • Mode of data divided by its median

    • What is the purpose of the coefficient of variation?

  • To find the range of data
  • To compare the relative dispersion of different datasets (correct)
  • To find the median of data
  • To find the mode of data

    • What are the components of the Five Number Summary?

  • Minimum, Median, Q1, Q3, Maximum
  • Minimum, Q1, Median, Q3, Maximum (correct)
  • Minimum, Q1, Q2, Q3, Maximum
  • Minimum, Mean, Median, Mode, Maximum

    • What is the purpose of the Five Number Summary?

    <p>To summarize the main features of a dataset</p> Signup and view all the answers

    What is represented by the lines extending above and below the box in a box plot?

    <p>The smallest and largest observations</p> Signup and view all the answers

    What do outlying samples typically do in a plot?

    <p>Plot outside the range</p> Signup and view all the answers

    What shape does a leptokurtotic distribution typically show on a Q-Q plot?

    <p>An S-shape</p> Signup and view all the answers

    What does a negative skewness value indicate?

    <p>A distribution that is left-skewed</p> Signup and view all the answers

    What does a box plot typically show?

    <p>The five number summary</p> Signup and view all the answers

    What is the primary purpose of including a histogram or box plot in a report?

    <p>To provide a visual understanding of the distribution</p> Signup and view all the answers

    What is the relation between the kurtosis value and the shape of the distribution?

    <p>A higher kurtosis value indicates a more heavy-tailed distribution</p> Signup and view all the answers

    What is the first quartile (Q1) of a data set?

    <p>The median of the first half of the ordered observations</p> Signup and view all the answers

    What is the second quartile (Q2) of a data set?

    <p>The median of the entire data set</p> Signup and view all the answers

    What is the inter-quartile range of a data set?

    <p>The difference between the 3rd quartile and the 1st quartile</p> Signup and view all the answers

    What is the 25th percentile of a data set?

    <p>The first quartile (Q1)</p> Signup and view all the answers

    What is the 75th percentile of a data set?

    <p>The third quartile (Q3)</p> Signup and view all the answers

    If data is divided into 10 equal parts, what are the resulting cut points called?

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

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