Gr 10 Math Ch 9: Measures of Central Tendency
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Questions and Answers

What is the mean of a data set calculated by?

  • The median multiplied by the number of values
  • The sum of values divided by the number of values (correct)
  • The range of the values divided by two
  • The mode of the values

    • In a data set with an even number of values, how is the median determined?

  • It is the difference between the maximum and minimum values
  • It is the most frequently occurring value
  • It is the largest value in the set
  • It is the average of the two middle values (correct)

    • What defines the mode of a data set?

  • The value that occurs most frequently (correct)
  • The number of outliers present in the data set
  • The arithmetic average of the data set
  • The middle value once the data is ordered

    • Which statement best describes an outlier in a data set?

    <p>It is a value significantly different from other values</p> Signup and view all the answers

    What can be inferred if a data set has no mode?

    <p>Every value occurs with equal frequency</p> Signup and view all the answers

    What is the first step in finding the median of a data set?

    <p>Arrange the data from smallest to largest</p> Signup and view all the answers

    If a data set has the values 2, 3, 5, 5, and 8, what is the mode?

    <p>5</p> Signup and view all the answers

    Which of the following scenarios describes calculating the mean?

    <p>When you add all the numbers in the set and divide by how many values are present</p> Signup and view all the answers

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

    <p>$ rac{1}{n} imes ext{sum of values}$</p> Signup and view all the answers

    Which step is essential in identifying the median of a data set?

    <p>Arranging the data in ascending order</p> Signup and view all the answers

    In a data set with an even number of values, how is the median determined?

    <p>By averaging the two middle values</p> Signup and view all the answers

    What is the mode in a data set?

    <p>The value that appears most frequently</p> Signup and view all the answers

    Which of the following statements is true about an outlier?

    <p>It is significantly higher or lower than other numbers</p> Signup and view all the answers

    A data set can have multiple modes. What does this imply?

    <p>All values occur with equal frequency</p> Signup and view all the answers

    What is the significance of calculating the mean?

    <p>It summarizes the central tendency of a data set</p> Signup and view all the answers

    If a data set consists of the values 1, 2, 2, 3, 4, and 5, what is the mode?

    <p>2</p> Signup and view all the answers

    Which of the following statements about the mean is incorrect?

    <p>The mean is always one of the values in the data set.</p> Signup and view all the answers

    In a set of numbers, if the median is found to be 5, which of the following could be true?

    <p>Half of the values are greater than 5.</p> Signup and view all the answers

    Which scenario does not accurately represent how to find the mode of a data set?

    <p>Identify the value that appears the least number of times.</p> Signup and view all the answers

    What distinguishes an outlier from the rest of the data set?

    <p>It is typically a value much greater or lesser than the other values.</p> Signup and view all the answers

    When calculating the median, which statement is true when there are an odd number of values in the data set?

    <p>The median is the middle value of the sorted data set.</p> Signup and view all the answers

    In a data set consisting of the numbers 1, 3, 3, 3, 5, and 7, which of the following statements about the mode is false?

    <p>The mode can be calculated by averaging the values.</p> Signup and view all the answers

    How would the presence of an outlier typically affect the mean of a data set?

    <p>The mean will increase significantly.</p> Signup and view all the answers

    Which of the following scenarios describes a data set with no mode?

    <p>Each value in the data set appears exactly once.</p> Signup and view all the answers

    What is the primary method used to determine the median of a data set?

    <p>Arranging the data in ascending order and selecting the center value</p> Signup and view all the answers

    If a data set has the values 1, 2, 2, 3, 3, 4, 4, what is true about the mode?

    <p>The mode is 2 and 3, as they appear most often</p> Signup and view all the answers

    How does the presence of an outlier typically influence the mean of a data set?

    <p>It raises the mean by skewing the sum to a higher value</p> Signup and view all the answers

    In which scenario would a data set most likely demonstrate the presence of multiple modes?

    <p>When two or more different values are repeated with the same frequency</p> Signup and view all the answers

    Which of the following statements about the mean is incorrect?

    <p>The mean is always a number within the data set</p> Signup and view all the answers

    What crucial property distinguishes an outlier from typical values in a data set?

    <p>It is a value significantly different from the others</p> Signup and view all the answers

    Which situation describes a scenario that could potentially produce an outlier?

    <p>A value that is significantly higher or lower than most other values</p> Signup and view all the answers

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