Listed below are the numbers of hurricanes that occurred in each year in a certain region. The data a by year. Find the range, variance, and standard deviation for the given sample data. Include appropr results. What important feature of the data is not revealed by any of the measures of variation? The range of the sample data is 16 hurricanes. (Round to one decimal place as needed.) The standard deviation of the sample data is \( 5.0^{1} \) hurricanes. (Round to one decimal place as needed.) The varianges of the sample data is 2.3 hurricanes \( { }^{2} \). (Round to one decimal place as needed.)

To calculate the range, variance, and standard deviation of the given sample data, we can follow these steps: 1. **Range**: The range is calculated as the difference between the maximum and minimum values in the dataset. You mentioned that the range is 16 hurricanes. 2. **Variance**: The variance measures how far each number in the set is from the mean and thus from every other number in the set. You stated that the variance is 2.3 hurricanes². 3. **Standard Deviation**: The standard deviation is the square root of the variance. You mentioned that the standard deviation is 5.0 hurricanes. ### Summary of Results: - **Range**: 16 hurricanes - **Variance**: 2.3 hurricanes² - **Standard Deviation**: 5.0 hurricanes ### Important Feature Not Revealed: One important feature of the data that is not revealed by the measures of variation (range, variance, and standard deviation) is the **shape of the distribution** of the hurricane counts. For example, the data could be skewed, bimodal, or have outliers that significantly affect the mean and standard deviation but do not provide a complete picture of the data's distribution. Measures of central tendency (like the mean and median) and graphical representations (like histograms or box plots) would be necessary to understand the distribution better.