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方差公式在数学解题中有着极其广阔的应用价值.然而由于统计初步列入中学数学时间不长,因而有关方差公式在数学解题中的应用资料甚少,故给学生一种错觉,好像学了方差公式仅仅是为了统计计算而已,别无它用.为延伸教材内容,紧跟素质教育和新课程改革的步伐,笔者就八个方面的应用介绍如下: 若x为一组数据x1,x2,x3,…,xn的平均数, S2为这组数据的方差,则有
The formula of variance has an extremely wide application value in solving mathematics problems. However, because the statistics are initially included in middle school mathematics for a short period of time, there is very little information on the use of variance formulas in mathematics problem solving. Therefore, students are given an illusion that they are learning. The formula of variance is only used for statistical calculations, and there is no other use for it. To extend the content of teaching materials and keep pace with quality education and the new curriculum reform, the author introduces the application of eight aspects as follows: If x is a set of data x1, x2 ,x3,...,xn the average, S2 is the variance of this set of data, there are