1. Find the five-number summary and draw a box-and-whisker plot for the data set. 84, 89, 93, 97, 91, 62, 58, 104, 91, 73, 101, 71, 98 2. The lengths of boats in a harbor, in feet, are listed below. 17, 16, 56, 50, 14, 30, 12, 33, 82, 16, 10, 52, 25, 25, 19, 75, 24, 12, 30, 12, 20, 38, 26, 36, 33, 24, 18, 26, 40, 40 (a) Make a frequency table for the data set. Use as the first class interval. (b) Use the table to draw a histogram. (c) Describe the type of distribution. Identify the relationship of the mean and the median. 3. The table shows the distance and costs of flights for a given airline with the same starting destination and different ending destinations. Distance (miles) Cost (dollars) 128 1 279 6 790 150 473 683 508 301 321 1 111 5 781 0 361 9 812 210 587 540 774 2 301 3 357 8 164 7 134 6 321 4 882 817 (a) Find the equation of the median-median line for the data. (b) Predict the cost of a flight that travels a distance of 1950 miles. 4. (c) The table shows the number of insects that eight students on a science trip collected. Find the percentile rank for Alan's number of insects and for JoAnn's number of insects. Student Number of insects Alan JoAnn Kris Luis JP Mario Nick Sheila 14 16 9 15 12 11 10 8 (d) After the trip, Alan and JoAnn took different science quizzes. The scores on both were normally distributed. Student Score on Quiz Mean of Scores Alan 50 42 Standard Deviation of Scores 2.8 JoAnn 45 35 4.3 Use z-scores to determine which student scored better, relative to the other scores in each class. Show all your work