Unit 8 - Statistics Summative Assignment Show all your work 1) Following is a list of masses (in Kg) of 48 members of the Toronto Hockey Club. 43, 45, 47, 48, 50, 51, 51, 52, 53, 53, 54, 54, 54, 55, 56, 57, 58, 58, 59, 60, 60, 60, 61, 61, 61, 64, 64, 65, 65, 65, 66, 67, 67, 68, 70, 71, 71, 72, 73, 75, 76, 79, 79, 81, 83, 83, 89, 90. a) What is the mode? (2K) b) What is the median? (2K) c) What is the mean? (2K) d) Organize the data into the following frequency table and make a histogram. (12A) Tfreq Mass Tally Frequency 41 - 45 10 + 46 - 50 9 - 8 - 51 - 55 7+ 56 - 60 61 - 65 5+ 66 - 70 71 - 75 76 - 80 81 - 85 40 45 50 55 60 65 70 75 80 85 90 95 100 105110 mass 86 - 902) A survey asked students what kind of transportation they normally use to get to school. The results were as follows: Bike 7, Walk 29, Bus 32, Car 17. Represent this data in a circle graph.(12 K) 3) Determine the mean, median, and mode for the following sets of data. (6T) PR OO o 7 LoBF - Line of Best Fit For the graph at right, s a) Draw a line of best fit FCae P (LoBF). (2T) b) Pick two points on the LoBF. (2T) Final_Mark E & 8 =] = c) Calculate the slope of your LoBF. (2A) o = 6 8 10 Times Absent d) Write the equation of your f) Use the equation to predict the mark of a student LoBF. (2A) who is absent 13 times. (2C) e) Estimate the value of r, the correlation coefficient. Give your reasoning for your value. (2C) g) Use the equation to predict how many times you can be absent and still pass the course (assuming passing grade is 50%) (2C)