Gr 11 Math Lit: Ch 5.2 Summarising Data
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Questions and Answers

Which measure of central tendency is most affected by outliers?

  • Median
  • Mean (correct)
  • Mode
  • Range

    • What is the correct step to calculate the median?

  • Determine the most frequently occurring value
  • Subtract the lowest value from the highest value
  • Sort the data set and identify the middle value (correct)
  • Add all values together and divide by the number of values

    • What is the purpose of step 5 in summarizing data?

  • To calculate the range of the data
  • To identify the mode of the data
  • To eliminate outliers from the data
  • To assess the measures in the context of the data set (correct)

    • Which of the following is NOT a step in summarizing data?

    <p>Plot a histogram</p> Signup and view all the answers

    Why is the median a better measure of central tendency than the mean in certain cases?

    <p>Because it is less affected by outliers</p> Signup and view all the answers

    What is the formula for calculating the mean of a data set?

    <p>Mean = ∑values / number of values</p> Signup and view all the answers

    Which measure of central tendency is most affected by outliers?

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

    What is the purpose of the median in a data set?

    <p>To provide a central value that is not affected by outliers</p> Signup and view all the answers

    When should the median be used instead of the mean?

    <p>When the data set is skewed or has outliers</p> Signup and view all the answers

    What is the range of a data set?

    <p>The difference between the highest and lowest values</p> Signup and view all the answers

    What is the limitation of the range in a data set?

    <p>It is misleading if there are outliers</p> Signup and view all the answers

    Which measure of central tendency is suitable for categorical data?

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

    What is the definition of an outlier in a data set?

    <p>An extreme value that differs significantly from other values</p> Signup and view all the answers

    What is the primary advantage of using the median over the mean in certain situations?

    <p>It provides a more accurate representation of the data when there are outliers</p> Signup and view all the answers

    Which step in summarizing data involves identifying the most frequently occurring value?

    <p>Identify the Mode</p> Signup and view all the answers

    What is the primary purpose of step 1 in summarizing data?

    <p>To calculate the average value of the data set</p> Signup and view all the answers

    Why is the range a limited measure of the spread of a data set?

    <p>Because it is sensitive to outliers</p> Signup and view all the answers

    What is the primary reason to use the median instead of the mean in a data set?

    <p>To avoid the influence of extreme outliers on the calculation</p> Signup and view all the answers

    What is the final step in the data summarization process?

    <p>Compare the Measures</p> Signup and view all the answers

    Which measure of central tendency is sensitive to the presence of extreme values in a data set?

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

    What is the main limitation of the range as a measure of spread?

    <p>It is sensitive to outliers</p> Signup and view all the answers

    When is the mode the most useful measure of central tendency?

    <p>When the data is categorical</p> Signup and view all the answers

    What is the purpose of calculating the mean, median, and mode?

    <p>To understand the distribution of a data set</p> Signup and view all the answers

    Which of the following is a characteristic of the median?

    <p>It is resistant to outliers</p> Signup and view all the answers

    What is the primary advantage of using the median over the mean?

    <p>It is less affected by outliers</p> Signup and view all the answers

    When would the range be a suitable measure of spread?

    <p>When the data set has no outliers</p> Signup and view all the answers

    What is the primary reason to compare the mean, median, and mode in a data set?

    <p>To determine the measure of central tendency that best represents the data.</p> Signup and view all the answers

    What is the consequence of using the range to describe the spread of a data set with outliers?

    <p>It yields a misleadingly large value for the spread.</p> Signup and view all the answers

    In which situation would it be inappropriate to use the mean as a measure of central tendency?

    <p>When the data set contains outliers.</p> Signup and view all the answers

    What is the primary advantage of using the median instead of the mean in certain situations?

    <p>It is less affected by outliers.</p> Signup and view all the answers

    What is the ultimate goal of summarizing a data set?

    <p>To choose the measure of central tendency that best represents the data.</p> Signup and view all the answers

    What is the primary reason why the median is a more robust measure of central tendency compared to the mean?

    <p>Because it is less affected by extreme values</p> Signup and view all the answers

    Under what circumstances would the mode be a suitable measure of central tendency?

    <p>When the data set is categorical</p> Signup and view all the answers

    What is the main limitation of the range as a measure of spread?

    <p>It is sensitive to extreme values</p> Signup and view all the answers

    When would the mean be a suitable measure of central tendency?

    <p>When the data set has no extreme outliers and the values are relatively evenly distributed</p> Signup and view all the answers

    What is the primary reason why the range is not a robust measure of spread?

    <p>It is sensitive to extreme values</p> Signup and view all the answers

    What is the main advantage of using the median over the mean?

    <p>It is less affected by extreme values</p> Signup and view all the answers

    What is the primary characteristic of an outlier in a data set?

    <p>It is an extreme value that differs significantly from other values</p> Signup and view all the answers

    What is the main purpose of calculating measures of central tendency and spread?

    <p>To summarize and understand the characteristics of a data set</p> Signup and view all the answers

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