Fewer Americans filed for unemployment in the week ending Oct. 15, but the advance figure remained above 400,000, the Commerce Department announced today. Initial jobless claims decreased by 6,000 to 403,000. The four-week moving average, a less volatile number that flattens out week-to-week fluctuations in the data, was 403,000, a decrease of 6,250 from the previous week’s revised average of 409,250, and a six-month low. But initial jobless claims have remained above 400,000 for 26 of the last 28 weeks, The number of Americans filing for continuing unemployment claims during the week ending Oct. 8 was 3,719,000, an increase of 25,000 from the preceding week’s revised level of 3,694,000. The four-week moving average was 3,722,500, a decrease of 7,500 from the preceding week’s revised average of 3,730,000. States reported 2,967,054 persons claiming emergency unemployment benefits in the week ended Oct. 1 (the most recent data available), a decrease of 48,981 from the prior week. The total number of people claiming benefits in all programs ending Oct. 1 was 6,697,346, a decrease of 124,239 from the previous week. Forty-nine states and territories reported The largest increases in initial claims for the week ending Oct. 8 were in New York, Pennsylvania, Texas, and Washington. The largest decreases were in North Carolina, South Carolina, the Virgin Islands, and Wisconsin.