The number of near-poor in America is exploding, too, as shown by the same census data that placed so many more people below the poverty level:

When the Census Bureau this month released a new measure of poverty, meant to better count disposable income, it began altering the portrait of national need. Perhaps the most startling differences between the old measure and the new involves data the government has not yet published, showing 51 million people with incomes less than 50 percent above the poverty line. That number of Americans is 76 percent higher than the official account, published in September. All told, that places 100 million people — one in three Americans — either in poverty or in the fretful zone just above it.

After a lost decade of flat wages and the worst downturn since the Great Depression, the findings can be thought of as putting numbers to the bleak national mood — quantifying the expressions of unease erupting in protests and political swings. They convey levels of economic stress sharply felt but until now hard to measure.

The Census Bureau, which published the poverty data two weeks ago, produced the analysis of those with somewhat higher income at the request of The New York Times. The size of the near-poor population took even the bureau’s number crunchers by surprise.

“These numbers are higher than we anticipated,” said Trudi J. Renwick, the bureau’s chief poverty statistician. “There are more people struggling than the official numbers show.”

Outside the bureau, skeptics of the new measure warned that the phrase “near poor” — a common term, but not one the government officially uses — may suggest more hardship than most families in this income level experience. A family of four can fall into this range, adjusted for regional living costs, with an income of up to $25,500 in rural North Dakota or $51,000 in Silicon Valley.

But most economists called the new measure better than the old, and many said the findings, while disturbing, comported with what was previously known about stagnant wages.

“It’s very consistent with everything we’ve been hearing in the last few years about families’ struggle, earnings not keeping up for the bottom half,” said Sheila Zedlewski, a researcher at the Urban Institute, a nonpartisan economic and social research group.