For questions 1 to 5: A group of 60 university students wrote a test and obtained the following marks (percentages). 5364 72927364 33 7561 84 | 65 58 76 536374 56 71 58 81 75 69 77 65 78 58 41 37 61 79 4074 | 31 | 39 68 75 | 67 89 59 57 | 39 | 71 | 38 | 66 | 69 81 5340 67 62 60 35 37 75 49 36 58 62 46 These raw data are grouped into a frequency distribution with class width 5%; the lowest class limit is 30% Set up a frequency table and add columns when necessary to answer questions 1 to 5. Question 1 Which of the following statements is/are true? A. There is a maximum of 15 classes and a minimum of 13 classes. B. The class with the highest frequency has class limits 60% and 64%. C. If the class width is changed to 3% there will at be least 21 classes. Question 2 Which of the following statements is/are true? A. The numbers 29,5; 34,5; …; 94,5 represent the class limits. B. The numbers 32, 37, …, 92 represent the class midpoints. C. The histogram representing the given data is given in the following sketch. Number of students 6 29,5 34,5 39,5 44,5 49,5 54,5 595 645 69,5 74, 5 Percentages 79,5 845 895 945

Question 3 Which of the following statements is/are true? A. The frequency polygon representing the data is given in the following sketch. Number of students 29,5 34,5 39,5 44,5 49,5 545 59,5 64,5 69,5 745 795 84,5 895 945 Percentage B. The stem-and-leaf plot representing the data is given below. 3 371 9 9 8 5 76 410096 3836 889 738 64410 53951 8 7 6 9 7 2 0 2 2 3 5 6 415 78 94515 4191 C. From the correct stem-and-leaf plot representing the given data we see that twice as many students scored between 50% and 59% (including these marks) as the number of students who scored between 40% and 49%, inclusive.

Question 4 Suppose 50% and over is a pass mark, and 75% and more is pass with distinction. Which of the following statements is/are true? A. The pie graph below represents the given data (percentages are rounded to the nearest integer where necessary). Pass (with diſtinction) 22% Fail 23% Pass (without distinction) 55% B. The median of the marks classified as “pass without distinction” is 58%. C. The mode of the “fail” marks is 39%. 1. Only A 4. Only A and C 2. Only B 5. Only A and B 3. Only C 5. Question 5 Which of the following statements is/are true? Use the grouped data in the first frequency table with class width 5%. Add columns if necessary. A. The arithmetic mean of all the marks is 61% (to the nearest integer). B. The mean deviation is 12% (to the nearest integer). C. The arithmetic mean of all the “pass without distinction” marks is 60% (to the nearest integer). 3. Only C 1. Only A 4. Only A and B 2. Only B 5. A, B and C