I wish I knew either statistics (one of only two classes I ever dropped in university) or psychology (the second of two classes I dropped in university). Then I might understand or explain or at least riff on these results, ie that this most 'subjective' of lists (our favourites) aligns so closely with a seemingly 'objective' consensus (everybody's favourites, for the last 20 years or so). Are we everybody, or is everybody us?
Not an expert, but familiar with statistics. You need three things to find the necessary sample size to reflect the entire population size. Confidence level (95 or 99%), confidence interval, population.
Confidence level I selected at 95%, which is typical. The confidence interval is tricky for this as the there was no list to pick from and spontaneous in response. In addition there was no limit on the number of responses so that in itself probably blows this out of the water. We need three items for this (sample size, selection %, population) However, I see that 22 courses were selected 10 or more times (taking a leap of faith that the cutoff of 10 matters), then you have a 25% selection percentage. Sample size is 40 and the population I selected 300 as the population, as to guess the "active posters" who may have the option to participate. The higher the population you select the more sample you need to be accurate obviously. I get a +/- of 12.5% confidence interval.
So what did we get? If we assume 95% CL, then plug in the 12.5% CI, along with a 300 population you get 51 samples needed to be accurate. If you go up to 400 population you need 53, 500 population you need 55.
So was it accurate? I would guess probably not, with several areas that stand out. First and principally this wasn't a random sample, people had to volunteer, which in and of itself takes away the "random" sample being random. Second, even if it was random there was no limit on the number of responses, which would need to be standard. So as Ira said, fun yes indeed, accurate and worthy of being representative of the site? Certainly not for various reasons.