Question 1 (20 marks) The following data represent scores of 50 students in a calculus test. 72 72 93 70 59 78 74 65 73 80 57 67 72 57 83 76 74 56 68 67 74 76 79 72 61 72 73 76 67 49 71 53 67 65 100 83 69 61 72 68 65 51 75 68 75 66 77 61 64 74 (Use the range 40-49, 50-59, etc

Calculate the following:

(a). Sample Mean (4 marks)

(b). Inter-quartile range (8 marks)

(c). Sample Variance (4 marks) (d). Given that s = 2.5 and x = 10, calculate the coefficient of variation. (2 marks)

(e). Explain what the coefficient of variation represents? (2 marks)