Participation: The exam was written by 199 students, although 209 had registered and paid the non-refundable fee. Among the 199 students who wrote, 195 earned a raw score of 10% or higher. All statistics that follow refer to this group of 195.
Summary: Of the 195 students discussed below, 128 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 59%. (These scores reflect a modest upward scaling.)
Scores of 85% or higher were earned by 20 students; scores below 30% were recorded by 17 students. There were three raw scores above 90%: scaling boosted these to 97%, 98%, and 99%.
Details: For each question, the following table shows the scores that separate the participants into four equally-sized cohorts: the median score has half the group above and the other half below; 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 (%)|
|Q1 (tan line)||4||75||100||100|
|Q2 (implicit diff)||6||67||100||100|
|Q3 (derivative rules)||6||67||83||100|
|Q5 (derivative def)||6||50||100||100|
|Q6 (linear approx)||6||0||17||33|
|Q7 (related rates)||8||0||37.5||62.5|
|Q8 (moving point)||7||29||71||86|
|Q9 (logarithmic diff & limits)||5||0||20||40|
|Q10 (exponential growth & decay)||8||0||25||75|
|Q12 (linearization/Newton's Method)||6||0||17||50|
Commentary: Students did extremely well on questions 1, 2, 3, and 5, and reasonably well on 8, 10, 11, 14, and 15. Questions 13, 6, and 9 were devastating for these students. Here are links to the Exam Questions, the Detailed Solutions, and Graders' Comments.
Scaling: Modest upward scaling was applied.
(Calculus Exam home page.)