Wall Street finished an erratic week narrowly mixed Friday after a government report of a steep decline in new home sales stirred concerns that weakness in housing will continue to dog the economy. The major indexes lost ground for the week.

The Chicago purchasing managers’ index had for a time offered some support to investor sentiment Friday after it showed a stronger-than-expected increase for December manufacturing activity in the Midwest.

But Wall Street appeared unable to hold onto its enthusiasm for too long.

The Dow Jones industrial average rose 6.26, or 0.05 percent, to 13,365.87.

Broader stock indicators were mixed. The Standard & Poor’s 500 index rose 2.12, or 0.14 percent, to 1,478.49, and the Nasdaq composite index fell 2.33, or 0.09 percent, to 2,674.46.

For the week, the Dow lost 0.63 percent, the S&P 500 slid 0.65 percent and the Nasdaq fell 0.55 percent.