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In: Statistics and Probability

The following data represent the difference in scores between the winning and losing teams in a...

The following data represent the difference in scores between the winning and losing teams in a sample of 30 college football bowl games from 2018-2019. Point Difference Number of Bowl Games 1 - 5 4 6 - 10 4 11 - 15 9 16 - 20 4 21 - 25 3 26 - 30 5 31 - 35 1 (a) Find the mean, median, mode and standard deviation. [9 marks] (b) Calculate the Coefficient of Variation and Pearson’s 1st and 2nd Coefficient of Skewness. [4 marks] (c) Describe the shape of the above data with explanation. [3 marks] (d) From a random sample of 100 college football bowls games picked in 2018-2019, estimate the number of college football games that have point difference between 8 and 17 using the frequency distribution table provided. [5 marks] (e) Using the frequency distribution table provided, estimate the maximum point difference for which 60% of the bowl games in 2018-2019 fell under. [4 marks]

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