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The range of the sample data is 17.0 hurricanes. (Round to one decimal place as needed.) The standard deviation of the sample data is 6.2 hurricanes. (Round to one decimal place as needed.) The variance of the sample data is 38.9 hurricanes \( { }^{2} \). (Round to one decimal place as needed.) What important feature of the data is not revealed through the different measures of variation? A. The measures of variation reveal no information about the scale of the data. B. The measures of variation reveal nothing about how the numbers of hurricanes are spread. C. The measures of variation reveal nothing about the pattern over time. D. The measures of variation do not reveal the difference between the largest number of hurricanes and the smallest number of hurricanes in the data.

Ask by Pollard Conner. in the United States
Mar 11,2025

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Answer

The measures of variation do not show the pattern over time.

Solution

1. We are given the following measures for the sample data: - Range: \(17.0\) hurricanes - Standard Deviation: \(6.2\) hurricanes - Variance: \(38.9\) hurricanes\(^2\) 2. The range shows the difference between the largest and smallest values in the data. The standard deviation and variance measure how much the hurricane numbers vary around the mean. 3. None of these measures provide any insight about the order in which the data were collected or any sequence or time-based pattern. 4. Therefore, the important feature that is not revealed by these measures is the pattern over time. The correct answer is: \( \textbf{C. The measures of variation reveal nothing about the pattern over time.} \)

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While measures of variation like range, standard deviation, and variance provide essential insights into the spread of data, they don't quite capture the underlying trends over time. Think of it like judging an entire movie based solely on a climactic scene—it misses the character development and plot twists that make the story rich. So, the answers lie not in the numbers but in the narrative of hurricane frequency and intensity across the seasons. Another fun fact is that if you look at historical hurricane data, you'll often find a cyclical pattern of activity. There are busy years and quieter years, influenced by various climatic conditions, such as El Niño or La Niña. Understanding this pattern gives meteorologists invaluable context on what the numbers reflect, helping them make predictions and prepare better for future hurricane seasons.

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