计算下面数据的算数平均值、几何平均值、标准差、算术平均误差和极差：0.83,0.76,0.89,0.73,0.92,0.81,0.92,0.75,0.88,0.79,0.90,0.84

算术平均值=（0.83+0.76+0.89+0.73+0.92+0.81+0.92+0.75+0.88+0.79+0.90+0.84）/12=0.835 几何平均数1/12=（0.83×0.76×0.89×0.73×0.92×0.81×0.92×0.75×0.88×0.79×0.90×0.84）=0.832 调和平均数=12（1/0.83+1/0.76+1/0.89+1/0.73+1/0.92+1/0.81+1/0.92+1/0.75+1/0.88+1/0.79+1/0.90+1/0.84）=0.835 中位数∵0.73﹤0.75﹤0.76﹤0.79﹤0.81﹤0.83﹤0.84﹤0.88﹤0.89﹤0.90﹤0.92=0.92∴中位数=（0.83+0.84）/2=0.85 标准差=（[（0.83-0.835）+（0.76-0.835）+（0.89-0.835）+（0.73-0.835）+0.92-0.835）+（0.81-0.835）+（0.92-0.835）+（0.75-0.835）+（0.88-0.835）+（0.79-0.835）+（0.90-0.835）+（0.84-0.835）]//11=0.0676 算术平均误差 =[|0.83-0.835|+0.76-0.835|+|0.89-0.835|+|0.73-0.835|+|0.92-0.835|+|0.81-0.835|+|0.92-0.835|+|0.75-0.835|+|0.88-0.835|+|0.79-0.835|+0.90-0.835|+|0.84-0.835|]/12/=0.567 极差=0.92-0.73=0.19