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2) Below are the ratings for a sample of 12 hotels in small Ontario towns: 1.1 4.7 4.8 4.8 5.3 6.5 6.7 7.1 7.1 7.3 8.1 9.2 The critical values of this data set are given: Q1 = 4.8 Q2 = 6.6 Q3 = 7.2 a) Determine the following and show all work: [3 marks] interquartile range (IQR) upper boundary and lower boundary any outlier(s) b) Create a modified box plot for the data, showing any outlier(s). [1 mark] c) In order for a hotel to be recommended by travel blog TravelWell, its score must be the 80th percentile or higher. What is the minimum rating a hotel can achieve in order to be recommended by TravelWell based on this sample? [2 marks]