While the disciplinary data was probably the most startling, the data showed a wide range of other racial and ethnic disparities. For while 55 percent of the high schools with low black and Hispanic enrollment offered calculus, only 29 percent of the high-minority high schools did so — and even in schools offering calculus, Hispanics made up 20 percent of the student body but only 10 percent of those enrolled in calculus.

And while black and Hispanic students made up 44 percent of the students in the survey, they were only 26 percent of the students in gifted and talented programs.

The data also showed that schools with a lot of black and Hispanic students were likely to have relatively inexperienced, and low-paid, teachers. On average, teachers in high-minority schools were paid $2,251 less per year than their colleagues elsewhere. In New York high schools, though, the discrepancy was more than $8,000, and in Philadelphia, more than $14,000.

Many of the nation’s largest districts had very different disciplinary rates for students of different races. In Los Angeles, for example, black students made up 9 percent of those enrolled, but 26 percent of those suspended; in Chicago, they made up 45 percent of the students, but 76 percent of the suspensions.

In recent decades, as more districts and states have adopted zero-tolerance policies, imposing mandatory suspension for a wide range of behavioral misdeeds, more and more students have been sent away from school for at least a few days, an approach that is often questioned as paving the way for students to fall behind and drop out.

A previous study of the federal data from the years before 2006, published in 2010 by the Southern Poverty Law Center, a nonprofit civil rights organization, found that suspension rates in the nation’s public schools, kindergarten through high school, had nearly doubled from the early 1970s through 2006 — from 3.7 percent of public school students in 1973 to 6.9 percent in 2006 — in part because of the rise of zero-tolerance school discipline policies.

But because the Department of Education has not yet posted most of the data from the most recent collection, it is not yet possible to extend those findings. On Tuesday afternoon, Mr. Duncan will announce the results at Howard Univerity, and from then on the data will become publicly available, at ocrdata.ed.gov.