统计游戏:中位数、方差和均值
几何画板及绘图内容加载中,请稍等……
本范例通过60个不同的滑块,演示如何找到一组数据的均值、中位数或众数。它涉及统计学中的核心概念,如均值、中位数和众数。通过使用GeoGebra命令如Point、Segment、Mean、Median、Max、Min、Mode等,可以直观地理解这些统计量的计算方法。适合初中及以上学生或教师使用,帮助学生更好地理解统计学的基本概念。
GeoGebra 命令及参数
Point(xAxis) → BPoint(xAxis) → CPoint(xAxis) → DPoint(xAxis) → EPoint(xAxis) → FSegment(A, G) → hSegment(B, H) → iSegment(C, I) → jSegment(D, J) → kSegment(E, K) → lSegment(F, L) → pMean({a, b}) → oSegment(M, N) → qMean({a, b, c}) → g_3Segment(O, P) → rMean({a, b, c, d}) → g_4Segment(Q, R) → sMean({a, b, c, d, e}) → g_5Segment(S, T) → tMean({a, b, c, d, e, f}) → g_6Segment(U, V) → a_1Median({a, b}) → m_2Median({a, b, c}) → m_3Median({a, b, c, d}) → m_4Median({a, b, c, d, e}) → m_5Median({a, b, c, d, e, f}) → m_6Segment(W, Z) → b_1Segment(A_1, B_1) → c_1Segment(C_1, D_1) → d_1Segment(E_1, F_1) → e_1Segment(G_1, H_1) → f_1Max(a, b) → max_2Min(a, b) → min_2Segment(J_1, I_1) → g_1Max({a, b, c}) → max_3Max({a, b, c, d}) → maxMax({a, b, c, d, e}) → max_5Max({a, b, c, d, e, f}) → max_6Min({a, b, c}) → min_3Min({a, b, c, d}) → min_4Min({a, b, c, d, e}) → min_5Min({a, b, c, d, e, f}) → min_6Segment(L_1, K_1) → h_1Max({a, b, c, d}) → max_4Segment(M_1, N_1) → i_1Segment(O_1, P_1) → j_1Segment(Q_1, R_1) → k_1Mode(Liste5) → Typetall5Max(Typetall5) → Maks5Min(Typetall5) → Min5Segment(T_1, U_1) → l_1Segment(S_1, V_1) → m_1Mode(Liste6) → Typetall6Max(Typetall6) → Maks6Min(Typetall6) → Min6Segment(W_1, A_2) → n_1Segment(B_2, Z_1) → p_1Mode(Liste4) → Typetall4Max(Typetall4) → Maks4Min(Typetall4) → Min4Segment(D_2, E_2) → q_1Segment(F_2, C_2) → r_1Mode(Liste3) → Typetall3Max(Typetall3) → Maks3Segment(G_2, H_2) → s_1Element(Typetall6, 2) → Midt6Segment(I_2, J_2) → t_1Segment(L_2, M_2) → a_2OrthogonalLine(G, a_2) → b_2Intersect(b_2, a_2) → O_2OrthogonalLine(H, a_2) → c_2OrthogonalLine(I, a_2) → d_2OrthogonalLine(J, a_2) → e_2Intersect(c_2, a_2) → P_2Intersect(a_2, e_2) → R_2Intersect(a_2, d_2) → Q_2Segment(G, O_2) → i_2Segment(H, P_2) → j_2Segment(I, Q_2) → k_2Segment(J, R_2) → l_2OrthogonalLine(K, a_2) → n_2OrthogonalLine(L, a_2) → q_2Intersect(n_2, a_2) → S_2Intersect(q_2, a_2) → T_2Segment(K, S_2) → r_2Segment(L, T_2) → s_2Segment(K, S_2) → t_2Segment(L, T_2) → a_3Segment(U_2, V_2) → b_3Point(c_3) → W_2Segment(W_2, Z_2) → d_3Ray(A_3, B_3) → f_2Ray(C_3, D_3) → g_2Ray(E_3, F_3) → e_3Ray(G_3, H_3) → f_3Point(e_3) → I_3Ray(L_3, M_3) → h_3Ray(J_3, K_3) → i_3Point(h_3) → N_3
AI 绘图提示语参考
在横轴上创建六个点,分别连接这些点到对应的垂直线段,展示数据集的均值、中位数、最大值和最小值。用不同颜色和线条样式区分均值、中位数、最大值和最小值,并标注数据集的大小变化对统计量的影响。
以上提示语为根据原始绘图命令整理而来,仅供参考。