# Is this "whites killed by whites" diagram wrong?

I found the following diagram on twitter:

(Sorry for not giving the source: I don't know how to link there.)

The diagram gives the impression that if you're a white person (in USA), then you're about equally likely to be murdered by a black person as by a white person.

However, I found the following quote:

84% Of white murder victims were killed by other whites, according to the Justice Department [PDF, p. 13]

How does one reconcile the diagram with the Justice Department's data? Does it have to do with "per 1,000,000 members of murderer's race"? If so, can anybody explain the math?

• "If you're a white person (in USA), then you're about equally likely to be murdered by a black person as by a white person". Careful. The graph shows "a random person, whether black or white, is about equally likely to kill a white person". Since there are 6 or 7 times more white than black people, a white murder victim is six or seven times more likely to be murdered by a white than a black person. Commented Aug 23, 2017 at 22:30

TL;DR: not exactly.

### Black Lives Matter

As others have said, this image misrepresents what the Black Lives Matter movement protests. As a general rule, police shootings don't appear in crime statistics as most are considered justifiable. That's the basic Black Lives Matters complaint. That police shootings of black decedents are overwhelmingly marked as justified.

Note that according to the Washington Post, 258 black decedents were shot by police officers in the year they studied. I'll leave it up to you if you want to do the math to compare to the other numbers from the image.

That said, there seems to be a separate claim in this question, unrelated to the point that the image was trying to make: That whites are as likely to be killed by blacks as other whites. This is a false claim based on a misinterpretation of what the image shows.

### Raw data

The image is showing Expanded Homicide Data Table 6 as the source of the data. So let's look at that data directly.

``````Victim/Offender  White  Black
White            2509     409
Black             189    2245
``````

Looking at the census data for July 2013:

``````White     252,330,091
Black      45,003,665
``````

### Explanation of calculations

If we divide that out, we get

``````Victim/Offender  White  Black
White             9.94   9.09
Black              .75  49.88
``````

These results are different from the image, so it's likely that it used different base numbers for population. They are similar though, so I believe this is the methodology they used.

To make this explicit, I did the following calculations to get the second table:

``````2509 / 252.330091 = 9.94
189 / 252.330091 = .75
409 / 45.003663 = 9.09
2245 / 45.003663 = 49.88
``````

So, these are results of a calculation, not falsified. They may be slightly inaccurate in that it seems that they are using a source other than the 2013 census data.

Note that I'm doing this math not to make any claims, but simply to explain how the calculations worked.

### The claim

The diagram gives the impression that if you're a white person (in USA), then you're about equally likely to be murdered by a black person as by a white person.

That impression is incorrect. If we go back to the raw data, 2509 white victims were killed by whites and 409 by blacks. So a white murder victim was about six times more likely to be killed by another white person than a black person.

The diagram adjusts for population. One of the problems with these kinds of comparisons is that there are about six times as many whites as blacks. So looking at the raw data will produce higher numbers for whites than blacks on almost any measure. So it is common to normalize the data so as to make the statistics more comparable. Describing the resulting statistic is complicated, particularly in this case.

Perhaps we might say that a black murderer with a white victim is about as common among blacks as a white murderer with a white victim is among whites. I.e. about ten (rounded up from 9.94) in a million whites murder a white person and about 9 (rounded down from 9.09) in a million blacks murder a white person. Be careful though, as people can easily misinterpret statistics like that. And of course this entirely ignores the possibility that a single person murdered multiple victims.

• I would be inclined to normalize it based on how often the two groups cross paths. That balances between considering murderer population and victim population; unfortunately, it would require additional social data. Commented Aug 22, 2017 at 20:11
• I disagree that that's the claim, the claim this image is making is that white murderers are more likely to pick white victims than black, and black murderers are more likely to pick black victims than white, which is a direct argument against the racism narrative. Commented Jun 1, 2020 at 21:27