It totally would. Statistically, a sample size of 282 out of a population of 60000 is pretty good.
If this test was authentic, we would be 95% sure that the true percentage of the population who think that the memo is harmless is between 47% and 60%.
Otherwise you could run a poll "Who thinks [minority] should leave the USA?", get a high "yes" response, say "THE POPULACE AGREE!" but then discover only racists/whatever have replied because Breitbart/4chan dogpiled the poll - which would make it 100% invalid, no?
However, the design matches the defaults of google forms, exact colors and their sequence, too: http://imgur.com/WPC0ogZ
Also the header says "gd-jpeg v1.0", it’s a cross platform open source C library with bindings for all modern programming languages including Go and Python: https://en.wikipedia.org/wiki/GD_Graphics_Library
Even if that’s a fake, it’s a good one.
I could whip upa similar graph without breaking a sweat that says whatever I'd like, and it would have all the same hallmarks of this one. I could even do it in PHP using ImageMagick (if I felt masochistic) and fake the file header to say it was created using GD. Or build it in photoshop, and pull it into a binary editor.
So I think unless there's someone who can point to greater evidence that this is an internal graph, there's just no reason to believe it is.
So I think unless there's someone who can point to the actual internal graph, there's just no reason to believe this is fake.
The distribution this poll shows is not so outlandish as to be unbelievable, and importantly it does not lend itself to overwhelmingly support one side over the other. Why would anyone spend time and effort to fake it?
It's a heated argument on the internet. There'd be plenty of incentive to fake a graph in order to bolster one's opinion.