Theresa May has warned public services there will be “nowhere to hide” if they treat people differently on the basis of their race.
A new government website shows disparities in educational attainment, health, employment and treatment by police and courts between ethnicities.
The PM said institutions must “explain or change” any variations – but critics are demanding action from ministers.
Labour says government must accept its role in worsening injustice.
The government audit shows that black Caribbean pupils are being permanently excluded from school three times as often as white British pupils.
Those more likely to own their own home are Indian, Pakistani and white people, compared with black people and those from Bangladesh.
Unemployment for black, Asian and minority ethnic people is nearly double that of white Britons.
Just over half of white adults ate five portions of fruit and vegetables a day in 2015. That compares with just over a third of Black adults who got their 5-a-day
“People who have lived with discrimination don’t need a government audit to make them aware of the scale of the challenge,” Mrs May said.
“This audit means that for society as a whole – for government, for our public services – there is nowhere to hide.”
Among those contacting the BBC, Shaneil, from Moss Side, Manchester, said: “It shouldn’t matter where you come from or your race. You should be equal, you should be able to do anything you want to do.
“We need more different ethnicities to be in power as well.”