Originally posted by roborob
Let's just assume that two different people took the test and both only answered 10 questions correctly in the math section. Person 1 answered the first 10 correctly and missed the rest. Person 2 missed all the questions except the last 10, which he answered correctly. Shouldn't Person 1 receive a higher score since he was able to get and answer tougher questions than Person 2? Because Person 2 missed all the questions up to the last 10, those last 10 questions should be easy.
I'm going to use the following scale to help explain myself. Let's say that all questions are assigned a difficulty from 1 to 10. Person 1 would have received the following questions with level of difficulty 5 6 7 8 9 10 10 10 10 10 since he was able to answer the first 10 correctly. On the other hand, by the time Person 2 starts answering the questions correctly, his first question would have a level of difficulty of 1. Therefore, the questions he answered correctly would have the following level of difficulty: 1 2 3 4 5 6 7 8 9 10. By the time he gets to a question with level of difficulty 10, he would have finished the test already. Now, my question is: shouldn't Person 1 receive a higher score since he was able to answer more tougher questions correctly? If he doesn't, please explain how it is fair that Person 1 and Person 2 receive the same score.