The purchasing managers' index (PMI) for China's non-manufacturing sector came in at 47.8 in May, up from 41.9 in April, the National Bureau of Statistics said Tuesday.A reading above 50 indicates expansion, while a reading below it reflects contraction.The purchasing managers' index (PMI) for China's non-manufacturing sector came in at 47.8 in May, up from 41.9 in April, the National Bureau of Statistics said Tuesday.A reading above 50 indicates expansion, while a reading below it reflects contraction.