Imagine a dataset representing ages of people in a certain city. The ages range from 0 to 100 with most people in their mid-40s. How would the choice of central tendency measure differ if the distribution is symmetrical versus if it is skewed to the right?
- Mean for both distributions
- Mean for symmetrical, median for skewed
- Median for symmetrical, mean for skewed
- The measure wouldn't differ
If the distribution is symmetrical, the "Mean" would be a suitable measure of central tendency as it would accurately represent the center. If it's skewed to the right, the "Median" would be a better choice, as it is not affected by the skewness or outliers.
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