Determine the mean, median, mode and range of the data set (7, 5, 3, 8, 5, 2, 12, 3) (2 marks) (b) The heights (in cm) of students in a class are: (156, 152, 148, 159, 150). Determine the mean and median. A new student who is 260 cm tall join the class. How does the height of the new student affect the mean and the median of students height in the class? (4 marks) (c) Candidates in a Statistics examination may either fall, pass, obtain a credit or obtain a distinction with probabilities of 0.2, 0.6, 0.1 and 0.1 respectively. What are the probabilities of (1) not failing the examination and (ii) not getting either a credit or a distinction (4 marks)