从频率表估计均值

从频率表估计均值
几何画板及绘图内容加载中,请稍等……
2017-05-24 19:59
本范例通过让学生测量并输入他们的手掌跨度数据,演示如何从频率表中计算实际均值。①该范例演示了如何使用频率表计算数据集的均值;②涉及的核心数学概念包括频率分布、均值计算和数据处理;③作图要点使用了GeoGebra命令:Sort(排序)、CountIf(计数)、Sequence(序列)、Sum(求和)、Join(连接)、Mean(均值)、TableText(表格文本)、Polygon(多边形);④适合初中及以上学生,用于统计学和数据分析教学。

GeoGebra 命令及参数

  1. Sort(RemoveUndefined[A2:A1000]) → list1
  2. CountIf(C2 ≤ x < E2, list1) → G2
  3. CountIf(C3 ≤ x < E3, list1) → G3
  4. CountIf(C4 ≤ x < E4, list1) → G4
  5. CountIf(C5 ≤ x < E5, list1) → G5
  6. CountIf(C6 ≤ x < E6, list1) → G6
  7. CountIf(C7 ≤ x < E7, list1) → G7
  8. Sequence(H3, i, 0, G3 - 1) → list3
  9. Sequence(H2, i, 0, G2 - 1) → list2
  10. Sequence(H4, i, 0, G4 - 1) → list4
  11. Sequence(H5, i, 0, G5 - 1) → list5
  12. Sequence(H6, i, 0, G6 - 1) → list6
  13. Sequence(H7, i, 0, G7 - 1) → list7
  14. CountIf(C8 ≤ x < E8, list1) → G8
  15. CountIf(C9 ≤ x < E9, list1) → G9
  16. Sequence(H8, i, 0, G8 - 1) → list8
  17. Sequence(H9, i, 0, G9 - 1) → list9
  18. Sort(RemoveUndefined[A2:A100]) → list1_1
  19. CountIf(C3 < x ≤ E3, list1_1) → G3_1
  20. CountIf(C4 < x ≤ E4, list1_1) → G4_1
  21. CountIf(C2 < x ≤ E2, list1_1) → G2_1
  22. Sort(RemoveUndefined[A2:A100]) → list1_2
  23. CountIf(C3 < x ≤ E3, list1_2) → G3_2
  24. CountIf(C4 < x ≤ E4, list1_2) → G4_2
  25. CountIf(C2 < x ≤ E2, list1_2) → G2_2
  26. Sum(G2:G9) → G10
  27. Sum(K2:K9) → K10
  28. Join({list2, list3, list4, list5, list6, list7, list8, list9}) → list10
  29. Sort(list1) → list11
  30. Mean(list1) → a
  31. TableText({{C1, D1, E1, F1, G1, H1, I1, J1, K1}, {C2, D2, E2, F2, G2, H2, I2, J2, K2}, {C3, D3, E3, F3, G3, H3, I3, J3, K3}, {C4, D4, E4, F4, G4, H4, I4, J4, K4}, {C5, D5, E5, F5, G5, H5, I5, J5, K5}, {C6, D6, E6, F6, G6, H6, I6, J6, K6}, {C7, D7, E7, F7, G7, H7, I7, J7, K7}, {C8, D8, E8, F8, G8, H8, I8, J8, K8}, {C9, D9, E9, F9, G9, H9, I9, J9, K9}, {C10, D10, E10, F10, G10, H10, I10, J10, K10}}, "l_") → text5
  32. Polygon(A, C, D, B) → poly1, a_1, c_1, d, b_1
  33. Polygon(G, H, F, E) → poly2, g, h, f, e_1

AI 绘图提示语参考

绘制一个频率分布表,展示数据范围和频数,通过计算得到均值,并用多边形表示数据分布,先绘制数据点和范围线,再连接形成多边形,最后标注均值和频数信息。
以上提示语为根据原始绘图命令整理而来,仅供参考。