Below are 36 sorted ages of an acting award winner. Find the percentile corresponding to age 36 using the method presented in the textbook. 16 17 19 19 28 30 31 35 36 39 38 44 45 47 48 48 50 50 50 57 51 58 58 59 59 62 63 63 65 69 72 72 66 75 79 80 percentile of value 36 = (Round to the nearest integer as needed.) AnsHeights of men on a baseball team have a bell-shaped distribution with a mean of 171 cm and a standard deviation of 5 cm. Using the empirical rule, what is the approximate percentage of the men between the following values? a. 166 cm and 176 cm b. 156 cm and 186 cm a. % of the men are between 166 cm and 176 cm. (Round to one decimal place as needed.) b. % of the men are between 156 cm and 186 cm. (Round to one decimal place as needed,)Listed below are the numbers of manatee deaths caused each year by collisions with watercraft. The data are listed in order for each year of the past decade. Find the range, variance, and standard deviation of the data set. What important feature of the data is not revealed through the different measures of variation? 74 75 80 92 100 83 65 83 69 98 The range of the sample data is |deaths (Round to one decimal place as needed.) The variance of the sample data is deaths (Round to one decimal place as needed.) The standard deviation of the sample data is deaths (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 nothing about how the numbers of manatee deaths are spread. O B. The measures of variation do not reveal the difference between the largest number of manatee deaths and the smallest number of manatee deaths in the data. Ans O C. The measures of variation reveal nothing about the pattern over timeWhich is relatively better: a score of 87 on a psychology test or a score of 43 on an economics test? Scores on the psychology test have a mean of 90 and a standard deviation of 9. Scores on the economics test have a mean of 48 and a standard deviation of 3. Choose the correct answer below. O A. The economics test score is relatively better because its z score is less than the z score for the psychology test score O B. The economics test score is relatively better because its z score is greater than the z score for the psychology test score. O C. The psychology test score is relatively better because its z score is less than the z score for the economics test score O D. The psychology test score is relatively better because its z score is greater than the z score for the economics test score