OOP: Hogwarts student size new data

[innovan]

No: HPFGUIDX 63332

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More evidence for the low estimate of Hogwarts student population.

OotP p196 states "100 or so horseless stagecoaches" carry the students 
to school. The stagecoaches carry 4 students each, but some of the 
stagecoaches are also used to carry luggage, not students.

If we use the 45 students in Harry's class listed in the screen shots 
of Ms. Rowling's notebook as an sample size, 7x45=315 students total 
for all of Hogwarts.

315 with luggage fit on a train.
315 minus the 1st years =270 students.
270 students at 4 per stagecoach = 68 stagecoaches for students.
That leaves 32 coaches for seven year's worth of student's luggage.
This scales properly. 

The high end estimate of 1000 students and their luggage, using 30% of 
the stagecoaches reserved for luggage alone, gives us 12.24 students 
in each of 70 carriages. Obviously a no-go.

The mid-range proponents of the 450-600 students population size 
results in 6-7 students per carriage. Tight, but still plausable.

"innovan"