In an inter-school competition, there are a total of 14 participants. Each participant answered 20 multiple choice questions. Below are the numbers 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, 90 th 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 final points of the participant, express Y as a linear function of X. (c) Find the following summary statistics of the final points a participant gets in this competition: Mean, standard deviation, interquartile range, maximum.

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