In: Statistics and Probability
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]