**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 |

Q4 (limits) | 6 | 33 | 50 | 50 |

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 |

Q11 (curve-sketching) | 10 | 30 | 60 | 80 |

Q12 (linearization/Newton's Method) | 6 | 0 | 17 | 50 |

Q13 (optimization) | 8 | 0 | 0 | 0 |

Q14 (concavity) | 8 | 37.5 | 62.5 | 87.5 |

Q15 (integrals) | 6 | 33 | 50 | 100 |

**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.