<p>Name______Problem Set #4</p><p>Date______Statistics</p><p>1) SAT scores Sample SAT scores for eight males and eight females are listed.</p><p>Male SAT Scores 105 132 1175 112 923 1017 121 1042</p><p>9 8 3 4</p><p>Female SAT Scores 122 965 841 105 105 1393 131 1222</p><p>6 3 6 2 a) Find the range, variance, and standard deviation of each data set.</p><p> b) Interpret the results in the context of the real-life setting. 2) Football Wins The number of wins for each National Football League team in 2006 are listed. </p><p>Make a frequency distribution (using five classes) for the data set. Then approximate the </p><p> population mean and the population standard deviation of the data set.</p><p>12 10 7 6 13 8 8 4 12 8 8 6</p><p>14 9 9 2 10 9 8 5 13 8 6 3</p><p>10 8 7 4 9 8 7 5 st nd rd 3) Find the 1 , 2 , and 3 quartiles for the set of data. Then construct a box-and-whisker plot.</p><p>Vacation Days The number of vacation days used by a sample of 20 employees in a recent year.</p><p>3 9 2 1 7 5 3 2 2 6</p><p>4 0 10 0 3 5 7 8 6 5 4) On a statistics test, the mean is 63 and the standard deviation is 7.0, and for a biology test the </p><p> mean is 23 and the standard deviation is 3.9. For each of the following questions you are given the</p><p> test scores of a student who took both tests.</p><p>Transform each test score to a z-score, and then determine on which test the student had a better </p><p> score.</p><p> a) A student gets a 73 on the statistics test and a 26 on the biology test. b) A student gets a 60 on the statistics test and a 20 on the biology test.</p>