Participation: The exam was written by 78 students, although 82 had registered and paid the non-refundable fee.
Summary: Of the 78 students who submitted a paper, 52 earned a score of 50% or better. In other words, 67% of the participants passed the test and are eligible to claim credit at a sponsoring university. The median grade was 66%. (These scores reflect a modest upward scaling.)
Scores of 90% or higher were earned by 10 students; scores below 30% were recorded by 8 students. There was a two-way tie for the top score of 95%.
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 (%)|
|Q3 (implicit diff)||10||40||70||90|
|Q4 (linear approx)||5||40||40||100|
|Q5 (exp decay)||5||0||100||100|
|Q6 (tangent lines)||8||13||25||63|
|Q7 (def of deriv)||8||50||63||75|
|Q9 (given accel)||6||50||100||100|
|Q10 (related rates)||8||13||63||63|
|Q12 (curve sketching)||9||33||56||89|
|Q13 (2-part area)||7||57||100||100|
Here are links to the Exam Questions, Detailed Sample Solutions, and Comments from the Graders.
(Calculus Exam home page.)