This chart was, I believe, nicked from the FBI by one of their Operatives who later became the VP Security at a company I worked for, and was preached to our security chaps in an attempt to lower the rate of bloodletting when they got involved with the public or members of the workforce who looked at them in the wrong way.
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They were warned that unless they could sincerely justify a higher level of reaction than that shown in the chart, they could face sanction. I get the feeling, looking at the Police shootings above, that some of the US police reactions have ..er, bordered on being over-reactive, but I suppose that they are fully aware that some fat sweaty bird in possession of a big gob and stolen goods is also very likely to be in possession of .38 or 9mm metal. Hard choices for the copper, and I favour educating the public in the correct response to these sorts of situation.