比较新旧均值和中位数
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本范例通过动态演示展示了如何比较新旧数据集的均值和中位数。核心数学概念包括均值和中位数的计算。使用了Random, Sequence, Join, Median, If, Defined, LaTeX, Textfield等GeoGebra命令。适合高中数学教学和学习。
GeoGebra 命令及参数
Random(5, 9) → numvaluesSequence(Random[0, 20], i, 1, numvalues) → OrigListJoin({OrigList, {usernum}}) → NewListMedian(NewList) → newmedianMedian(OrigList) → origmedianIf(meandiff > mediandiff, 1, If[meandiff < mediandiff, 2, 3]) → ansDefined(usernum) → Step1CorrectLaTeX(If[ans ≟ 1, "mean changed more", If[ans ≟ 2, "median changed more", "mean and median changed by the same amount"]]) → AnsDispTextfield(usertext) → InputBox1Circle((0.5, 3.3), 0.15) → Circ1Circle((0.5, 2.8), 0.15) → Circ2Circle((0.5, 2.3), 0.15) → Circ3Polygon((0, 6.5), (2.5, 6.5), (2.5, 4.2), (0, 4.2)) → NewValBox, f, g, h, iLaTeX((((("\begin{tabular}{c}\text{new mean }= " * newmean) * "\qquad\text{new median}=") * newmedian) * "\end{tabular}")) → NewDispLaTeX(If[numvalues > 5, "," + (Element[OrigList, 6]), ""]) → d6LaTeX(If[numvalues > 6, "," + (Element[OrigList, 7]), ""]) → d7LaTeX(If[numvalues > 8, "," + (Element[OrigList, 9]), ""]) → d9LaTeX(If[numvalues > 7, "," + (Element[OrigList, 8]), ""]) → d8LaTeX(d1to5 + d6 + d7 + d8 + d9) → dOrigListLaTeX((((((("\begin{tabular}{c}\phantom{1000000000000000000000}\\\text{Original Data Set: }" * dOrigList) * "\\\text{mean}=") * origmean) * "\qquad \text{median=}") * origmedian) * "\end{tabular}")) → OrigDisp