Question

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? 18 20 20 18 4 13 15 4 16 19 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? O A. The measures of variation reveal no information about the scale of the data O B. The measures of variation do not reveal the difference between the largest number of hurricanes and the smallest number of hurricanes in the data ° C. The measures of variation reveal nothing about the pattern over time O D. The measures of variation reveal nothing about how the numbers of hurricanes are spread

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Years

Years^2

Hurricanes

Hurricanes^2

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Answer #1

Range = Maximum value - Minimum value

Range = 20 - 2 = 18

The range of the sample data is 18 Hurricanes

The standard deviation of the sample data is 7.5 Harricanes

The variance of the sample data is 55.9 Hurricanes2

Here, the measures of variation reveal nothing about the pattern over time.

18 3 20 4 Excel Commands: Sample Mean Sample Standard Deviation Sample Variance AVERAGE(A1:A14) STDEV(A1:A14) VAR(A1:A14) 20 4 18 10 12 13 19 15 15 16 Sample Mean 17 18 Sample Standard Deviation 19 20 Sample Variance 21 11.35714286 7.479275395 55.93956044

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