In an alley in Denver, police gunned down a 17-year-old girl joyriding in a stolen car. In the backwoods of North Carolina, police opened fire on a gun-wielding moonshiner. And in a high-rise apartment in Birmingham, Ala., police shot an elderly man after his son asked them to make sure he was okay. Douglas Harris, 77, answered the door with a gun.

The three are among at least 385 people shot and killed by police nationwide during the first five months of this year, more than two a day, according to a Washington Post analysis. That is more than twice the rate of fatal police shootings tallied by the federal government over the past decade, a count that officials concede is incomplete.

“These shootings are grossly under­reported,” said Jim Bueermann, a former police chief and president of the Washington-based Police Foundation, a nonprofit organization dedicated to improving law enforcement. “We are never going to reduce the number of police shootings if we don’t begin to accurately track this information.”