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 standar 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 8 11 11 15 5 2 13 13 8 1 13 14 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 do not reveal the difference between the largest number of hurricanes and the smallest number of hurricanes in the data. O B. The measures of variation reveal nothing about how the numbers of hurricanes are spread. OC. The measures of variation reveal nothing about the pattern over time. O D. The measures of variation reveal no information about the scale of the data.

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A: Solution

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Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.