环境规划与管理第四章、环境规划与管理的数学基础1、计算下面数据的各种平均值、标准差、算术平均误差和级差。.83,,,,,,,,,,,:算数平均值:å xi-x =x1 + x2 + ...... + xnn=ni=1n= + + + + + + + + + + + = :w x + w2 x2 + ...... + wn xnw1 +w2 +...... + wnå w xå wi-xw = 1 1=ni=1ini-1i= + + + + ´ 2 + + + + + + = :-xG = n x1x2 × × × xn= 12 ´ ´ ´ ´ ´ ´ ´ ´ ´ ´ ´ = :1-xH =nnåi-1 xi+=++++++++++= :å=i 1 (xi - x)2s =1n - 1n -112 - 1( - )2 + ( - )2 + ( - )2 + ( - )2 + ( - )2 += ( - )2 + ( - )2 + ( - )2 + ( - )2 + ( - )2 +( - )2 + ( - )2= :å xDx =ni=1in-- x= - + - + - + - + - + - + - + - + - + - + - + - = max { k }- min { k }= - = = :1£k£n2、对某合金中铜的含量进行测定,,,,,,,,,,,试用格拉布斯准则检验是否有应舍去的数据。解:算术平均值:x + x2 + ...... + xnå xi-x = 1n=ni=1n= :å=i 1 (xi - x) 2 = =1n -1
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