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The district still lags far behind at the eighth-grade level despite consecutive gains.
Still, the two consecutive gains barely offset declines in March and April.
Before this cycle, the I.S.M. indicator has never showed consecutive gains before the unemployment rate hit its cyclical high.
The consecutive gains suggest manufacturing in the United States could improve in the second half of the year.
The figure was a reversal of the 0.3 percent increase in April, and it was the first monthly decline after 10 consecutive gains.
As a result, the Nasdaq composite index, which had posted seven consecutive gains, and the Dow Jones industrial average lost ground in the same session for the first time since Jan . 28
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Wal-Mart rose $2.13, to $49, its third consecutive gain.
Intel managed its eighth consecutive gain, rising 6 cents, to $72.13.
That was the fifth consecutive gain at auto plants.
The Dow Jones industrial average rose 9.36, or 0.07percentto to 12,694.28, its fourth consecutive gain.
It was up 0.5percentt for the week, its sixth consecutive gain.
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