$\kappa$
Listed below are the numbers of hurricanes that occurred in each year in a certain region. The data are listed in order by year. Find the range, variance, and standard deviation for the given sample data. Include appropriate units in the results. What important feature of the data is not revealed by any of the measures of variation?
7
4
20
16
20
20
8
11
13
3
2
4
13
7
The range of the sample data is
(Round to one decimal place as needed.)
The standard deviation of the sample data is
(Round to one decimal place as needed.)
The variance of the sample data is
(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

Step 1 ：First, we need to calculate the range, variance, and standard deviation of the given data. The range is the difference between the maximum and minimum values in the dataset. The variance is the average of the squared differences from the mean, and the standard deviation is the square root of the variance.

Step 2 ：The given data is [7, 4, 20, 16, 20, 20, 8, 11, 13, 3, 2, 4, 13, 7].

Step 3 ：The range of the data is calculated as the difference between the maximum and minimum values in the dataset. In this case, the range is 18.

Step 4 ：The variance of the data is calculated as the average of the squared differences from the mean. In this case, the variance is approximately 39.8.

Step 5 ：The standard deviation of the data is calculated as the square root of the variance. In this case, the standard deviation is approximately 6.3.

Step 6 ：Final Answer: The range of the sample data is \(\boxed{18}\). The variance of the sample data is \(\boxed{39.8}\). The standard deviation of the sample data is \(\boxed{6.3}\).

Step 7 ：The measures of variation do not reveal any information about the scale of the data.