Subjects statistics

Water Temperature 4D8Cc9

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1. **State the problem:** We are given the median and interquartile range (IQR) of water temperatures for the ocean and pool at Coral Cove Beach Resort. 2. **Recall definitions:** The median is the middle value of a data set, and the interquartile range (IQR) measures the spread of the middle 50% of the data (difference between the third quartile $Q_3$ and first quartile $Q_1$). 3. **Given data:** - Ocean median = 79°F, IQR = 8°F - Pool median = 84°F, IQR = 4°F 4. **Interpret median:** The pool median (84°F) is higher than the ocean median (79°F), so the pool water is typically warmer. 5. **Interpret IQR:** The ocean IQR (8°F) is larger than the pool IQR (4°F), meaning ocean temperatures vary more than pool temperatures. 6. **Check the statement:** "The pool water is typically warmer than the ocean water, and the ocean water temperatures vary less than the pool water temperatures." 7. **Evaluate:** The first part is correct (pool warmer), but the second part is incorrect because the ocean has a larger IQR, so ocean temperatures vary more, not less. **Final conclusion:** The pool water is typically warmer than the ocean water, and the ocean water temperatures vary more than the pool water temperatures.