In an inter-school competition, there are a total of 14 participants. Each participant answered 20 multiple choice questions. Below are the number of correct answers obtained by the participants: 16,11, 20,19,18,17,15,16,17, 19, 20,17,13,13 (a) Find the mean, 90th percentile, interquartile range, and standard deviation of the number of correct answers obtained by a participant. (b) Each participant has a basic score of 100 points. For each correct answer, 20 points would be given; for each wrong answer, 10 points would be deducted. Use X to represent the number of correct answers and Y to represent the nal points of the participant, express Y as a linear function of X. (c) Find the following summary statistics of the nal points a participant gets in this competition: Mean, standard deviation, interquartile range, maximum. ((1) Write a simple summary report (in around 30 50 words) about the nal points of a participant gets in this inter-school competition. (The summary report needs to include all summary statistics found in part (0))