Exercise 2 l. A lecturer carried out a survey to find the number of iectures that a class of 35 students were absent for during a course lasting 16 weeks. These were the results: 3 l 4 2 l 5 l 2 5 3 l {l 0 5 7 3 4 2 l 4 6 3 2 7 9 5 (l 2 l [I (J l} l {1. 2 l a. Organise the data in a tally and frequency table. b. Find the mode, the median and the arithmetic mean of the data. c. Which of the 3 numbers measured in b is the better one to use? Explain. 2. Five managerial staff members have travel and car allowances of R60 000. Ri9 000, R21 000. R18 000 and R20 000 each. An additional six ofce staff each have a car allowance of R10 000. a) What is the median allowance? b) What is the modal allowance? c) What is the mean allowance? d) Which of the 3 would be best representative? 3. A doctor has eleven diabetic patients. The ages at which they were first diagnosed as diabetic were: 12, 5, 43.14. 60.18, l6,17. 57,16,61. a) What was the median age? b) What was the modal age? c) What was the mean age? d) Which of these 3 is the most inappropriate one to use? 4. Using the gures in Tabie 3.1 of Example 3.1 find the mean. mode and median