PART C- Thinking (18 marks) 1. Dexter is 45 years old and 181 cm tall. For the last 8 years, his doctor has charted Dexter's mass and related it to his BMI (Body Mass Index). A BMI between 20 and 26 is considered healthy. The data is shown in the following table. Mass(kg)62 72 66 79 85 82 92 88 BMI 19 22 20 24 26 25 28 27 a) Create a scatter plot for the data. (3 marks) b) Describe any trends in the data. Explain. (2 marks) c) Draw a line of best fit on your graph. (I mark) 2. The quiz marks for a student were 67, 45. 55, and 60 for the first four quizzes. If the mean mark for five quizzes was 58, what mark was achieved on the fifth quiz? (2 marks)10 / 13 2. The quiz marks for a student were 67, 45, 55, and 60 for the first four quizzes. If the mean mark for five quizzes was 58, what mark was achieved on the fifth quiz? (2 marks) 3. A student is practicing archery with a target made of three concentric zones: A circular bull's eye in the middle, an inner ring, and an outer ring. He has a 0.12 probability of hitting the bull's eye, a 0.37 probability of hitting the inner ring and a 0.43 probability of hitting the outer ring. On any given shot, what is the probability that the student: a) misses the target entirely (2 marks) b) hits the target but does not get a bull's eye (2 marks) c) hits the inner ring or the bull's eye (2 marks) 4. Use the binomial theorem to expand the following: (x2 + 2y) . Just expand, simplification is not required (4 marks) 10 PART D- Application (22 marks) 1. Analyze the following box-and-whisker plot