Date Name MODULE Gathering and Displaying Data 20 Module Quiz: J 4) The table represents a random sample 3) The histogram shows the yearly of ages of people who volunteer at a salaries, in thousands of dollars, of managers at a company. The standard museum. Use a graphing calculator to deviation of the data is s = 3.0, and the answer questions about the data. mean is X = 88.5. 67 58 42 37 63 60 22 45 41 42 27 49 67 73 44 a. Using the number line, make a box plot for the distribution of the ages of the O volunteers. 82 84 86 88 90 92 94 96 a. According to the histogram, what percent of the salaries fall within 1 standard deviation of the mean? Round your answer to the nearest hundredth. 20 24 28 32 36 40 44 48 52 56 60 64 68 72 b. Use the box plot to analyze the data. Choose True or False for each statement b. Is the shape of the data distribution about the data. normal, skewed left, or skewed right? i) The mean age of the museum volunteers is 49.1. O True O False c. Suppose a manager of the company is chosen at random. What is the probability ii) The first quartile is 41 that the manager's salary is more than 1 O True O False standard deviation above the mean? ili) The IQR of the data is 22. Round your answer to the nearest hundredth. O True O False iv) The median of the data is 63, O True O False d. Suppose a manager of the company is c. What is the standard deviation of the chosen at random. What is the probability volunteers' ages, rounded to the nearest that the manager's salary is less than 1 tenth? standard deviation below the mean? Round your answer to the nearest hundredth