In 2015, Vox reported an analysis of 2012 FBI data by Dara Lind:
US police kill black people at disproportionate rates: Black people accounted for 31 percent of police killing victims in 2012, even though they made up just 13 percent of the US population.
In particular, when considering people who were killed when not attacking the police, black people suffer disproportionately:
A Washington Post article in May 2018, argued, with limited data, that there had been a declining trend in both police killings and racial bias in police killings:
Criminologists said the downturn in the number of cases and their analysis of the data indicate that evidence of racial bias by police who shoot and kill unarmed blacks has also declined but not disappeared.
Goff and others say that the numbers of unarmed shootings are so small that any interpretations amount to guesswork.
“When you’re looking at racial disparities, you’re on super-shaky ground,” said Goff, who said he hoped the public would not interpret the data to mean bias is no longer present.
Looking at this years figures in the Washington Database of police killings, it looks at first glance like that trend for fewer deaths hasn't been maintained in the months since.
[Note: Care should be taken with Ben Shapiro's argument to ensure it is not a strawman. After a moderately brief search, I was unable to find a quote from Colin Kaepernick making precisely the claim being dismissed by Shapiro.]