Last week a student came to me asking if I could take a look at his
final exam in the course he took from me last term. He wanted to see
if there was an opportunity to reclaim a few lost marks. After
looking over his exam, I decided to give him an extra 0.5 on it,
because his answer to one question arguably deserved slightly more
than the 0.5/2 he received.
Why would I bother making such a small change to a final exam? Well,
the exam was out of 80 and counted for 40% of your final grade, so
that 0.5 translated to a boost of 0.25% to his final grade.
How could that possibly matter? When we compute final grades, we get
a fraction that is rounded to the nearest integer. Pre-adjustment, the
student's final grade as 71.429%, which was rounded down to 71%. By
giving him an extra 0.25%, he went up to 71.679%, which was rounded up
to 72%. Ah, so that small change to the exam upped his final grade by
a whole percent.
Still, why should I adjust a final grade by one percent? This student was
pursuing a special joint program between geography and my faculty.
In order to get the joint degree, he needed to graduate with a 60% average
over the 16 courses he took with us, meaning he needed to accumulate a total
of 960 marks across those courses. He added it all up and came up with...
959. A difference of one percent in any of those courses would change his
degree entirely. And that difference came down to a difference of
0.071% in my course.
At that scale, our evaluation of student
performance is pure noise. I was therefore happy to oblige.
Ah, the proverbial butterfly flapping its proverbial wing.