Participation: The exam was written by 179 students, although 189 had registered and paid the non-refundable fee. Among the 179 students who wrote, 166 earned a raw score of 10% or higher. All statistics that follow refer to this group of 166.
Summary: Of the 166 students discussed below, 110 earned a score of 50% or better. In other words, 66% of the participants passed the test and are eligible to claim credit at a sponsoring university. The median grade was 61%. (These scores reflect a modest upward scaling.)
Scores of 85% or higher were earned by 19 students; scores below 30% were recorded by 14 students. There were six raw scores above 85%: scaling boosted these into the 90's.
Details: For each question, the following table shows the scores that separate the participants into four equally-sized groups. The median score divides the group in half; quartiles 1 and 3 bisect the lower and upper halves again. Scores are reported using percentages instead of individual points to make comparisons easier.
|Question||Point Value||Quartile 1 (%)||Median (%)||Quartile 3 (%)|
|Q2 (tan line)||4||50||100||100|
|Q3 (implicit diff)||5||40||100||100|
|Q4 (linear approx)||7||0||14||43|
|Q6 (logarithmic diff)||6||17||33||79|
|Q7 (given accel)||8||53||75||100|
|Q8 (Newton's Law of Cooling)||9||22||33||89|
|Q10 (related rates)||9||11||22||56|
|Q11 (practical optimization)||9||11||44||89|
|Q12 (moving particle)||9||46||67||82|
|Q13 (curve sketching)||9||0||22||44|
|Q14 (finding areas)||7||0||14||57|
Here are links to the Exam Questions, Detailed Sample Solutions, and Comments from the Graders.
Scaling: Modest upward scaling was applied.
(Calculus Exam home page.)