Gr 11 Math Ch 11: Symmetric and Skewed Data
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Questions and Answers

Which of the following is a characteristic of a symmetric distribution?

  • Mean is greater than the median
  • The median is closer to the third quartile than to the first quartile
  • The left and right tails are balanced (correct)
  • The right tail is longer than the left tail
  • What can be inferred about a distribution with a longer right tail?

  • It is a left skewed distribution
  • It is a symmetric distribution
  • It is a right skewed distribution (correct)
  • It is impossible to determine without more information
  • In a box-and-whisker plot, what indicates a right skewed distribution?

  • The median is equal to the third quartile
  • The median is closer to the third quartile than to the first quartile
  • The median is closer to the first quartile than to the third quartile (correct)
  • The median is halfway between the first and third quartiles
  • What is true about the mean and median in a left skewed distribution?

    <p>The mean is less than the median</p> Signup and view all the answers

    Which of the following is NOT a characteristic of a symmetric distribution?

    <p>The right tail is longer than the left tail</p> Signup and view all the answers

    What can be inferred about a distribution with a mean that is less than the median?

    <p>It is a left skewed distribution</p> Signup and view all the answers

    What is the primary difference between a right skewed distribution and a left skewed distribution?

    <p>The direction of the skew</p> Signup and view all the answers

    What is a characteristic of a symmetric distribution in terms of the box-and-whisker plot?

    <p>The median is halfway between the first and third quartiles</p> Signup and view all the answers

    What is the relationship between the mean and median in a right skewed distribution?

    <p>Mean is greater than the median</p> Signup and view all the answers

    What is a characteristic of a left skewed distribution?

    <p>The mean is less than the median</p> Signup and view all the answers

    What is the primary reason why the mean and median are not equal in a skewed distribution?

    <p>The data is not symmetric</p> Signup and view all the answers

    What is a characteristic of a symmetric distribution in terms of the tails?

    <p>The left and right tails are balanced</p> Signup and view all the answers

    Which of the following statements about a distribution is true?

    <p>A symmetric distribution always has a median equal to the mean.</p> Signup and view all the answers

    What is a common feature of both right and left skewed distributions?

    <p>The mean and median are not equal.</p> Signup and view all the answers

    Which of the following statements is false about symmetric distributions?

    <p>The distribution is always bell-shaped.</p> Signup and view all the answers

    What can be inferred about a distribution with a median that is closer to the third quartile than the first quartile?

    <p>The distribution is left skewed.</p> Signup and view all the answers

    Which of the following statements about skewed distributions is true?

    <p>The direction of skewness is determined by the length of the tails.</p> Signup and view all the answers

    What is a characteristic of a distribution with a median that is closer to the first quartile than the third quartile?

    <p>The distribution is right skewed.</p> Signup and view all the answers

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