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Measures of Central Tendency: Ungrouped Data

Explore the concept of arithmetic mean for ungrouped data, which is calculated by summing up all values and dividing by the total number of observations. This quiz uses an example of monthly salaries to demonstrate the calculation.

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Questions and Answers

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

Mean is greater than median

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

Median is less influenced by extreme values

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

Tail is on the right

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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