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%.
Summary Statistics | |
Maximum | 95.0 |
Minimum | 4.0 |
Mean | 61.7 |
Median | 66.0 |
Standard deviation | 22.2 |
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 (%) |
Q1 ([anti-]derivatives) | 10 | 60 | 80 | 90 |
Q2 (limits) | 9 | 56 | 67 | 67 |
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 |
Q8 (combo) | 6 | 0 | 17 | 17 |
Q9 (given accel) | 6 | 50 | 100 | 100 |
Q10 (related rates) | 8 | 13 | 63 | 63 |
Q11 (optimization) | 9 | 22 | 44 | 100 |
Q12 (curve sketching) | 9 | 33 | 56 | 89 |
Q13 (2-part area) | 7 | 57 | 100 | 100 |
TOTAL | 100 | 47 | 66 | 81 |
Here are links to the Exam Questions, Detailed Sample Solutions, and Comments from the Graders.