ABSTRACT

One hundred students sit an examination. After the examination the papers are marked and given a score out of one hundred. You are given the results and asked to present them to a committee that monitors examination performance. You are faced with the following marks:

22 65 49 56 59 34 9 56 48 62 55 52 78 61 50 62 45 51 61 60 54 58 59 47 50 62 44 55 52 80 51 49 58 46 32 59 57 57 45 56 90 53 56 53 55 55 41 64 33 0 38 57 62 15 48 54 60 50 54 59 67 58 60 43 37 54 59 63 68 60 46 52 56 32 75 57 58 47 45 52 55 51 50 50 69 63 64 49 56 52 37 60 71 26 30 57 56 55 58 61

Fortunately, you are told the sort of questions the committee might ask:

• Can you describe the results of the examination? • Can you give us a brief summary of them? • What is the average mark? • What is the spread of scores? • What is the highest and lowest mark? • Here are last year’s results, how do this year’s compare?