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 (D)</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 (B)</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 (B)</p> Signup and view all the answers

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

<p>Coefficient of Skewness (B)</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 (B)</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 (B)</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? (A)</p> Signup and view all the answers

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