Answer number 63 65 67 and 83
62 g) I from 83. Math scores 2013 The National Center for Education Statistics T stand reports average mathematics achievement scores for eighth expe graders in all 50 states (nces.ed.govationsreportcard/): h) Writ Score State Score State Montana 289 San F Alabama 269 Nebraska 285 San Alaska 282 278 Arizona 280 Nevada Dalla Arkansas 278 New Hampshire 296 Aust California 276 New Jersey 296 Nas New Mexico 273 Colorado 290 Ho Connecticut 285 New York 282 North Carolina 286 Der Delaware 282 Orl Florida 281 North Dakota 291 279 290 Ch Georgia Ohio Hawaii 281 Oklahoma 276 Sa Idaho 286 Oregon 284 Ri Illinois 285 Pennsylvania 290 D Indiana 288 Rhode Island 284 lowa 285 South Carolina 280 Kansas 290 South Dakota 287 Kentucky 281 Tennessee 278 Louisiana 273 Texas 288 Maine 289 Utah 284 Maryland 287 Vermont 295 Massachusetts 301 Virginia 288 Michigan 280 Washington 290 Minnesota 295 West Virginia 274 Mississippi 271 Wisconsin 289 T 85. Missouri 283 Wyoming 288 a) Using technology and the provided data file, find the median, IQR, mean, and standard deviation of these state averages. b) Which summary statistics would you report for these data? Why ? nationwide. c) Write a brief summary of the performance of eighth graders 84. Boca) Describe this distribution. b) Approximately what proportion of professional male golf- ers drive, on average, 280 yards or less? c) Estimate the mean by examining the histogram. d) Do you expect the mean to be smaller than, approximately equal to, or larger than the median? Why? T 65. Movie lengths II 2010 Exercise 63 looked at the running times of movies released in 2010. The standard deviation of these running times is 16.6 minutes, and the quartiles are Q1 = 98 minutes and Q3 = 116 minutes. a) Write a sentence or two describing the spread in running times based on i. the quartiles. ii. the standard deviation. b) Do you have any concerns about using either of these descriptions of spread? Explain. 66. Golf drives II 2015 Exercise 64 looked at distances PGA golfers can hit the ball. The standard deviation of these aver- age drive distances is 11.2 yards, and the quartiles are Q1 = 282.05 yards and Q3 = 294.5 yards. a) Write a sentence or two describing the spread in distances based on i. the quartiles. ii. the standard deviation. b) Do you have any concerns about using either of these descriptions of spread? Explain. 67. Movie earnings 2015 The histogram shows total gross ear ings (in millions of dollars) of the top 200 major release mo ies in 2015 (D d from Movies 0615T 67. Movie earnings 2015 The histogram shows total gross earn- ings (in millions of dollars) of the top 200 major release mov- ies in 2015. (Data extracted from Movies_06-15) 100 Movies 50 0 125 250 375 500 625 750 Gross ($M) An industry publication reports that the typical movie makes $23.2 million, but a watchdog group concerned with rising ticket prices says that the average earnings are closer to $55.7 million. What statistic do you think each group is using? Explain.63. Movie lengths 2010 The histogram shows the running times in minutes of the 150 top-grossing feature films released in 2010. (Data in Movie Lengths 2010) 35 30 25 20 # of Movies 15 10 5 40 60 80 100 120 160 180 Running Time (min) a) You plan to see a movie this weekend. Based on these movies, how long do you expect a typical movie to run? b) Would you be surprised to find that your movie ran for 27 hours (150 minutes)? c) Which would you expect to be higher: the mean or the median run time for all movies? Why? . Golf drives 2015 The display shows the average drive distanc (in yards) for 199 professional golfers during a week on the men's PGA tour in 2015
