Subjects statistics

Box Plot Center 386421

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1. **State the problem:** We need to determine which statement about the most appropriate measure of center (mean or median) is true based on the symmetry of the two box plots for Dallas and Houston. 2. **Recall important rules:** - The mean is a good measure of center when the data distribution is symmetrical. - The median is a better measure of center when the data distribution is skewed or not symmetrical. 3. **Analyze the box plots:** - Dallas box plot: The box and whiskers appear roughly symmetrical around the median. - Houston box plot: The box plot also appears roughly symmetrical around the median. 4. **Conclusion:** Since both data sets are symmetrical, the most appropriate measure of center is the mean. 5. **Answer:** The correct choice is **F**: "The most appropriate measure of center would be the mean since both data sets are symmetrical."