统计学规定:某次测量得到n个结果x1,x2,…,xn.当函数y=++…+取最

统计学规定:某次测量得到n个结果x1,x2,…,xn.当函数y=++…+取最小值时,对应x的值称为这次测量的“最佳近似值”.若某次测量得到5个结果9.8,10.1,10.5,10.3,9.8.则这次测量的“最佳近似值”为 10.1 

答案

考点

方差.

专题

新定义.

分析:

根据题意可知“量佳近似值”x是与其他近似值比较,根据均值不等式求平方和的最小值知这些数的底数要尽可能的接近,求出x是所有数字的平均数即可.

解答:

解:根据题意得:

x=(9.8+10.1+10.5+10.3+9.8)÷5=10.1;

故答案为:10.1.

点评:

此题考查了一组数据的方差、平均数,掌握新定义的概念和平均数的平方和最小时要满足的条件是解题的关键.

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