Thirteen states reported unemployment rates above the national average of 10.2% in October, and a growing number reported rising jobless rates, according to a government report released on Friday. Overall, jobless rates increased in 29 states and the District of Columbia last month, while they fell in 13 states, according to a monthly Labor Department survey on state unemployment. In September, 23 states and Washington D.C. reported that their unemployment rates increased, and 14 states had jobless rates above the national average. Michigan remained the state with the highest rate of unemployment at 15.1%, though that rate was down 0.2 percentage points from September. The vast majority of states showed very slight increases or decreases in their unemployment rates, but a few had significant jumps in their jobless rates. Unemployment rates in Alaska and Wyoming both rose 0.6 percentage points. Arkansas' rate grew 0.5 points last month. North Dakota continued to post the lowest jobless rate, coming in at 4.2%, which was unchanged from September. It was followed by Nebraska with 4.9%, South Dakota at 5%, Montana at 6.4%, and Vermont and Utah at 6.5%.