QUESTION NO 1 Predicting AFL scores The table below shows the number of points each AFL team scored in the first 10 Rounds of the 2011 AFL Season. The aim of this investigation is to see if the scoring potential of sides in previous games can be used to predict the outcomes in Round 11, 12 and 13. WC Melb Haw Ess Coll Geel Carl Rnd Adel Bull Bris 92 St K 6 86 ' 105 104 155 116 12' 88 122 102 Kang 8 8 Frem 29 ~ 5 8 84 161 BOO VOCA WN - 7 117 106 10 197 127 148 90 116 106 65 99 1 18 121 96 66 62 102 102 106 105 106 60 175 73 100 134 89 56 139 73 91 71 74 102 72 53 101 93 105 a. Choose two teams - Melbourne and Essendon that will play each other in Round 11 and complete a side-by-side Stem and Leaf plot for their summary scores. b. Find from this the median, Q1 and Q3 for each set of data. c. What is the Inter-quartile range (IQR) for each side? d. Predict who will win in Round 11. e. These are the results for Round Melbourne (101) def Essendon (68) Geelong (148) def Bulldogs (87) West Coast (85) def Gold Coast (67) Collingwood (108) def St Kilda (51) Sydney (116) def Brisbane (51) Kangaroos (115) def Adelaide (68) Hawthorn (111) def Fremantle (89) Carlton (111) def Port (49) 11. How successful was your prediction from part b? Discuss the assumptions and limitations of using past scoring totals to predict games. f. In the Australian Curriculum: Mathematics, an outlier is described as any data point that is more than 1.5 times the interquartile range (IQR, where IQR = Q3 - Q1) from either the upper quartile (Q3) or the lower quartile (Q1). Are there any outliers in your data? g. What would be two alternative contexts where you could use a similar model of analysing past performance to predict a future event