(x1+x2+x3)/3=Mx1+x2+x3=3M所以平均数=(3x1+7+3x2+7+3x3+7)/3=[3(x1+x2+x3)+21]/3=(x1+x2+x3)+7=3M+7
3x1+7,3x2+7,3x3+7平均数为 3M+7
3M+7因为(x1+x2+x3)/3=M则{(3x1+7)+(3x2+7)+(3x3+7)}/3={3(x1+x2+x3)+21}/3=3M+7