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Graph>Shape>Center Select Answers Shown in Boxes Statistics-‐Adams 1. Age of Declaration of Independent Signers The ages of the signers of the Declaration of Independence are shown. (Age is approximate since only the birth year appeared in the source, and one has been omitted since his birth year is unknown.) Construct a grouped frequency distribution and a cumulative frequency distribution for the data using 7 classes. 2. Air Quality Standards The number of days that selected U.S. metropolitan areas failed to meet acceptable air quality standards is shown below for 1998 and 2003. Construct a grouped frequency distribution with 7 classes and a histogram for each set of data, and compare your results. 3. Calories in Salad Dressings A listing of calories per one ounce of selected salad dressings (not fat-free) is given below. Construct a stem and leaf plot for the data. For Exercises 4 through 6, find (a) the mean, (b) the median, and (c) the mode. 4. Grade Point Averages The average undergraduate grade point average (GPA) for the 25 top-ranked medical schools is listed below. a. 3.724 b. 3.73 c. 3.74 and 3.70 5. Earthquake Strengths Twelve major earthquakes had Richter magnitudes shown here. 7.0, 6.2, 7.7, 8.0, 6.4, 6.2, 7.2, 5.4, 6.4, 6.5, 7.2, 5.4 a. 6.63 b. 6.45 c. 5.4, 6.2, 6.4, 7.2 6. Garbage Collection The amount of garbage in millions of tons collected over a 16-year period is shown. 29.7 47.3 32.9 36 48 57.2 53.7 52.8 58.4 55.8 46.1 46.4 37.9 43.5 50.1 52.7 a. 46.78 b. 47.65 c. None For Exercises 7, find the (a) mean and (b) modal class. 7. Automobile Fuel Efficiency Thirty automobiles were tested for fuel efficiency (in miles per gallon). This frequency distribution was obtained. a. 19.7 b. 17.5-‐22.5 For Exercises 8 and 9, find the range, variance, and standard deviation. Assume the data represent samples. 8. Football Playoff Statistics The number of yards gained in NFL playoff games by rookie quarterbacks is shown. 9. Passenger Vehicle Deaths Range: 160 Variance: 1984.5 Standard Deviation: 44.5 The number of people killed in each state from passenger vehicle crashes for a specific year is shown. Range: 2721 Variance: 355, 427.6 Standard Deviation: 596.2 10. Using the data from number 9, determine if there were any outliers for the number of people killed in each state from passenger vehicle crashes. For exercises 11-‐15, Match the graph to its shape. 11. D. Normal 12. E. Bimodal 13. B. Skewed Lt. 14. C. Uniform 15. A. Skewed Rt. A. Skewed Rt. B. Skewed Lt. C. Uniform D. Normal E. Bimodal