Here are the charts. Table 1 is the US, Table 2 are the 22 other countries. Source:
http://www.amjmed.com/article/S0002-9343(15)01030-X/fulltext
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If you throw out our "firearms homicide", our homicide rate is 1.7 to .6 (nonfirearm to nonfirearm) - about 3 times higher. We're more violent in the US, but we're less suicidal (12.4 to 15).
The CBS article states in it's first line: "Americans are 10 times more likely to be killed by guns than people in other developed countries, a new study finds."
They are referring to total firearms deaths, including suicide - that is the "fact" that people take from that. By the way, the research DID cherry pick 22 other countries from the list of OECD countries, of which there are 35 (as of 2016), not 22.
Here's the leap this article wants us to make: if we get rid of all the guns in the US, the firearm homicide rate will drop to a statistical 0 and the firearm suicide rate will drop to statistical 0.
I don't buy it.
The homicide rate by other means will go up and the suicide rate by other means will go up. Will they go up as much as much as the dropped? I don't know, and neither does anyone here.