Does "break out numbers" mean "reveal numbers"?

And "rolling out the India- and China-specific numbers" mean "spreading/publishing India numbers and China numbers"?

Context:

Air Pollution Linked to 1.2 Million Premature Deaths in China

BEIJING — Outdoor air pollution contributed to 1.2 million premature
deaths in China in 2010, nearly 40 percent of the global total, according to
a new summary of data from a scientific study on leading causes of death
worldwide.
Figured another way, the researchers said, China’s toll from pollution was
the loss of 25 million healthy years of life from the population.

The data on which the analysis is based was first presented in the ambitious
2010 Global Burden of Disease Study, which was published in December in The Lancet, a British medical journal. The authors decided to break out numbersfor specific countries and present the findings at international
conferences. The China statistics were offered at a forum in Beijing on
Sunday.

“We have been rolling out the India- and China-specific numbers, as they
speak more directly to national leaders than regional numbers,” said Robert
O’Keefe, the vice president of Health Effects Institute, a research
organization that is helping to present the study. The organization is
partly financed by the United States Environmental Protection Agency and the
global motor vehicle industry.

More:
http://www.nytimes.com/2013/04/02/world/asia/air-pollution-linked-to-1-2-million-deaths-in-china.html?_r=0