Gr 10 Math Ch 9: Five Number Summary
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Questions and Answers

What does the five number summary consist of?

  • Minimum value, maximum value, and the two quartiles
  • Median, mode, and the range of the data
  • Upper quartile, lower quartile, and the mean
  • Minimum value, maximum value, and the three quartiles (correct)

    • In a box-and-whisker plot, what does the line inside the box represent?

  • The lower quartile
  • The median of the data (correct)
  • The mode of the data
  • The upper quartile

    • What is represented by the whiskers in a box-and-whisker plot?

  • The interquartile range
  • The maximum and minimum values (correct)
  • The average of the data points
  • The distance between Q1 and Q3

    • Which percentiles are included in the five number summary?

    <p>0th, 25th, 50th, 75th, and 100th</p> Signup and view all the answers

    What does the interquartile range in a box-and-whisker plot represent?

    <p>The distance between the lower and upper quartiles</p> Signup and view all the answers

    How is the information conveyed by the five number summary different from that of the box-and-whisker plot?

    <p>Both represent the same information but in different formats.</p> Signup and view all the answers

    What does the interquartile range represent in the five number summary?

    <p>The spread of the data between the first and third quartiles</p> Signup and view all the answers

    Which value represents the 50th percentile in the five number summary?

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

    How is the five number summary visually represented?

    <p>Through a box-and-whisker plot</p> Signup and view all the answers

    In the context of the five number summary, what does the maximum value indicate?

    <p>The largest observation in the data set</p> Signup and view all the answers

    What does a box-and-whisker plot allow you to visualize about the data set?

    <p>The distribution and spread of the data</p> Signup and view all the answers

    What key information does the box in a box-and-whisker plot represent?

    <p>The interquartile range</p> Signup and view all the answers

    What is one advantage of using a box-and-whisker plot compared to the five number summary?

    <p>It allows for easier identification of data distribution and spread.</p> Signup and view all the answers

    Which of the following statements about the five number summary is false?

    <p>The five number summary consists of four values.</p> Signup and view all the answers

    In the context of statistical analysis, the whiskers in a box-and-whisker plot primarily indicate which of the following?

    <p>The minimum and maximum values of the dataset.</p> Signup and view all the answers

    Which component of the five number summary specifically represents the midpoint of the dataset?

    <p>The median.</p> Signup and view all the answers

    What is indicated by the 'interquartile range' in both the five number summary and the box-and-whisker plot?

    <p>The spread of the middle 50% of the data.</p> Signup and view all the answers

    When comparing the five number summary and a box-and-whisker plot, which statement is incorrect?

    <p>The box-and-whisker plot includes detailed outlier information.</p> Signup and view all the answers

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