It is important to note that this isn't just about police brutality. There are a number of racial disparities that result in more black deaths. From the letter:

> lack people suffer from dramatic health disparities in life expectancy, maternal and infant mortality, chronic medical conditions, and outcomes from acute illnesses like myocardial infarction and sepsis. Biological determinants are insufficient to explain these disparities. They result from long-standing systems of oppression and bias which have subjected people of color to discrimination in the healthcare setting, decreased access to medical care and healthy food, unsafe working conditions, mass incarceration, exposure to pollution and noise, and the toxic effects of stress.

So 1k-2k per year would be a low estimate. Some will correctly point out that that 1k-2k killed by police includes people that are committing violent crimes (ie, killing them may not be unjust). The response to that argument is to look at the intersection of poverty and race to see how systemic racism drives crime in black communities.