Question 1 The following dataset is the midterm and final exam marks of students. Midterm Final 81 94 79 86 85 83 87 70 90 79 61 72 71 77 78 82 80 96 89 100 Table 1: Midterm and Final exam marks a) Calculate the sample mean and sample variance of Midterm and Final marks and sample covariance between them. Show your R commands and output. b) Now assume that final course grade is calculate by 0.3 x Midterm+0.7 x Final. Find the sample mean and sample variance of the final course grade using the part (a). c) Generate side-by-side boxplots for midterm and final exam marks using R. Compare midterm and final using the plot.

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