Here's a transcript of the first minute, though you may watch the video [here][1]: 

>The F distribution is positively skewed, meaning it peaks on the left side and is stretched off to the right side. This distribution peaks at 1. This is because if there are no differences in the population means, in other words the between group variability is expected to be 0. Then the mean of each sample will still, likely differ by chance. Since the difference, then, is due to chance. The same way that each subject in each sample differs by chance, as measured by the within-group variability. Then the between group variability and within group variability will be the same. Therefore, when we divide them we get 1. And that's where this distribution peaks. 

A visit to [wikipedia][2] shows f-distributions that do not peak at 1. Also, the video only semantically explains *what* it means to have an f-statistic/ANOVA value of 1. It does not explain *why* the distribution *peaks* at 1. 

I would have assumed that the narrator was speaking particularly about of this randomly selected f-distribution with unspecified degrees of freedom... but it seems a strange thing to emphasize. Am I missing something obvious?


  [1]: https://classroom.udacity.com/courses/ud201/lessons/1306898579/concepts/1611758530923#
  [2]: https://en.wikipedia.org/wiki/F-distribution