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? 13 1 8 7 2 10 10 20 20 8 17 17 4 the variance of the sample data is 39.7 hurricanes² (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 do not reveal the difference between the largest number of hurricanes and the smallest number of hurricanes in 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 reveal no information about the scale of the data.

Explanation:

Step1: Analyze each option

• Option A: The range is the difference between the largest and smallest values. So, measures of variation (specifically the range) do reveal this difference.
• Option B: Variance and standard deviation are measures that describe how the data is spread.
• Option C: The data is given in order by year. Measures of variation (range, variance, standard deviation) are calculated based on the values of the data points themselves and do not take into account the order (time - related aspect) of the data.
• Option D: The scale of the data (in this case, the number of hurricanes) is somewhat related to the values used in calculating variance and standard deviation.

Answer:

C. The measures of variation reveal nothing about the pattern over time.