解$:(1) $把这组数据从小到大排列为
$ 0.01,0.01 , 0.02,0.03,0.03,0.03,0.03,$
$0.03 , 0.04,0.04,0.04,0.05 ,$
故中位数是$ 0.03(\mathrm{g} / \mathrm m^{3}) .$
出现次数最多的数据是$ 0.03 \mathrm{g} / \mathrm m^{3} , $所以众数是$ 0.03 \mathrm{g} / \mathrm m^{3} .$
$(2) $∵ 平均数$=(0.01+0.01+0.02+0.03+0.03 +0.03+0.03$
$+0.03+0.04+0.04 +0.04+0.05) \div 12=0.03(\mathrm{g} / \mathrm m^{3}) $
∵$0.03 \mathrm{g} / \mathrm m^{3}>0.025 \mathrm{g} / \mathrm m^{3}$
∴ 这天该城市的空气不符合要求.