The earthquake bureau in Yunnan province, where the quake occurred Sunday, said three of the injured people were in serious condition.
The official Xinhua News Agency said the quake damaged 2,500 houses and caused 700 others to collapse.
About 55,000 people were affected by the quake, Xinhua said, citing Yunnan's Civil Affairs Department. Supplies were on their way to the quake-hit area, including 6,000 tents.
The magnitude-5.5 quake struck 51 kilometers (32 miles) from the city of Dali at a depth of 33 kilometers (20 miles), according to the U.S. Geological Survey.
About 34 aftershocks were recorded after the quake, Xinhua said.
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