Measures of Central Tendency: Ungrouped Data
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Questions and Answers

In a positively skewed distribution, what is the relationship between the mean and the median?

  • Median is greater than mean
  • Mean is greater than median (correct)
  • Mean and median are equal
  • Mean is less than median

    • How does the median behave in relation to extreme values in a distribution?

  • Median is less influenced by extreme values (correct)
  • Median equals the mean
  • Median is heavily affected by extreme values
  • Median always equals the mode

    • What does a positive skewness in a distribution indicate about the tail?

  • Tail is on the right (correct)
  • Tail is on the left
  • Tail is symmetric
  • Tail is non-existent

    • Which measure of central tendency is more influenced by extreme values in a skewed distribution?

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

    How does the mode behave in a negatively skewed distribution?

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

    What do positive and negative values of kurtosis indicate about a distribution?

    <p>Positive kurtosis means relative flatness, negative means peaked distribution</p> Signup and view all the answers

    What measure reflects the degree of asymmetry of a distribution about its mean?

    <p>Coefficient of Skewness</p> Signup and view all the answers

    How does a negatively skewed distribution affect the relationship between the mean and median?

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

    What defines the value of the mode in a distribution?

    <p>Most frequently occurring value in the dataset</p> Signup and view all the answers

    How is kurtosis calculated for a sample using the mean and standard deviation?

    <p>Kurtosis=(n?1)×s4?i=1n?(xi?)?/x?</p> Signup and view all the answers

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