Questions and Answers
Which of the following is a quantitative variable?
Age
Which graphical representation is most appropriate for displaying qualitative variables?
Pie chart
Which measure of central tendency is most affected by extreme values?
Arithmetic mean
Which measure of dispersion is most affected by extreme values?
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Which measure of central tendency is not affected by extreme values?
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Which of the following best describes skewness?
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What does a negative skewness coefficient indicate?
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What does a positive skewness coefficient indicate?
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What does kurtosis measure?
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What does a high kurtosis value indicate?
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Study Notes
Quantitative Variables
- A quantitative variable is a numerical variable that can take on different values.
Graphical Representation of Qualitative Variables
- A bar chart or pie chart is most appropriate for displaying qualitative variables.
Measures of Central Tendency
- The mean is most affected by extreme values.
- The median is not affected by extreme values.
Measures of Dispersion
- The range is most affected by extreme values.
Skewness
- Skewness is a measure of how asymmetric a distribution is.
- A negative skewness coefficient indicates that the distribution is skewed to the left, with a longer tail on the left side.
- A positive skewness coefficient indicates that the distribution is skewed to the right, with a longer tail on the right side.
Kurtosis
- Kurtosis measures the tailedness of a distribution.
- A high kurtosis value indicates that the distribution has heavier tails, meaning that there are more outliers.
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