Mr. Randall is analyzing the statistics on the past three exams for one of his students.
Exam. Percent. Percentile rank.
Unit A. 67%. 91st
Unit B. 63%. 66th
Unit C. 71%. 50th
a) Which exam do you think was the most difficult for this student? Explain your answer.
b) Which exam do you think was the most difficult for this class? Explain your answer.
c) Mr. Randall thought the student's most impressive exam was unit A. Explain his reasoning.
a) The most difficult exam for this student was Unit B because even though the student scored 63%, the percentile rank was only 66th. This means that a significant portion of the class scored higher than the student on this exam.
b) The most difficult exam for the class as a whole was Unit A. Despite the student scoring 67%, which is higher than Unit B and Unit C, the percentile rank was still 91st. This indicates that a large majority of the class scored higher than the student on this exam.
c) Mr. Randall thought the student's most impressive exam was Unit A because even though the student scored 67%, which was the highest score out of the three exams, the student still ranked 91st percentile. This indicates that the student performed exceptionally well compared to their classmates on this exam.