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 (D)</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 (D)</p> Signup and view all the answers

What do outlying samples typically do in a plot?

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

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

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

What does a negative skewness value indicate?

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

What does a box plot typically show?

<p>The five number summary (D)</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 (C)</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 (D)</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 (B)</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 (C)</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 (D)</p> Signup and view all the answers

What is the 25th percentile of a data set?

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

What is the 75th percentile of a data set?

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

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

<p>Deciles (D)</p> Signup and view all the answers

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