File talk:Variance visualisation.svg

From Wikimedia Commons, the free media repository
Jump to navigation Jump to search

Replicability of this collage?[edit]

Nice attempt to visualize the variance=σ2, but isn't the sampling "arbitrary" or manipulated so that this matches out? :) Now it is written "an arbitrary distribution of n=8 samples: (2, 4, 4, 4, 5, 5, 7, 9). Ok, now remove one of those 4's: (2, 4, 4, 5, 5, 7, 9). cf the image, now one of your little blocks is missing and you can't make a closing rectangle anymore; there's always a holed = that little square missing. What now? :), Thank you. :)

I have another one. In the article the example is given of a 6 angled dice with numbers 1 to 6. I made the same collage. Try to make the square or explain the σ2 variance. :) Here you go : an open google presentation for you to thinker with :) . Have fun. :) SvenAERTS (talk) 07:13, 11 September 2022 (UTC)[reply]

@SvenAERTS: I got the numbers from the example in the English Wikipedia article. Though you're right that they were made up to yield an integer variance, it would still work otherwise: the height of the block wouldn't be an integer anymore, and some blocks will have to be reshaped, as long as their areas are maintained.
Well done on the slide. I find it clear and concise. Cheers, cmɢʟee ⋅τaʟκ 10:13, 11 September 2022 (UTC)[reply]