MathPlotAI Logo MathPlotAI

Copy of STATISTICS V1

Copy of STATISTICS V1
Loading the math board and drawing, please wait…
2019-08-03 22:11
SequenceCoordinate GeometryProbability & Statistics
This example demonstrates the data processing process in STATISTICS V1. Core mathematical concepts include median, mode, mean, quartiles, and standard deviation. Using GeoGebra commands such as Sum, Median, Mean, Q1, Q3, and SD, the distribution characteristics of data can be intuitively displayed. Suitable for high school and above students or teachers.

GeoGebra Commands & Parameters

  1. Sum(B2:B11) → B13
  2. Sum(C2:C11) → C13
  3. Polygon(O, P_1, Q_1, P) → poly5, o_2, p_1, q_1, p
  4. Polygon(P, R_1, S_1, Q) → poly6, p_2, r_1, s_1, q
  5. Polygon(Q, T_1, U_1, S) → poly7, q_2, t_1, u_1, s
  6. Polygon(S, V_1, W_1, R) → poly8, s_2, v_1, w_1, r
  7. Polygon(R, Z_1, A_2, T) → poly9, r_2, z_1, a_2, t
  8. Polygon(T, B_2, C_2, U) → poly10, t_2, b_2, c_2, u
  9. Polygon(S_2, G_3, H_3, T_2) → poly12, s_3, g_3, h_3, t_3
  10. Polygon(T_2, I_3, J_3, U_2) → poly13, t_4, i_3, j_3, u_2
  11. Polygon(U_2, K_3, L_3, V_2) → poly14, u_3, k_3, l_3, v_2
  12. Polygon(V_2, M_3, N_3, W_2) → poly15, v_3, m_3, n_3, w_2
  13. Polygon(W_2, O_3, P_3, Z_2) → poly16, w_3, o_3, p_3, z_2
  14. Polygon(Z_2, Q_3, R_3, A_3) → poly17, z_3, q_3, r_3, a_3
  15. Polygon(A_3, S_3, T_3, B_3) → poly18, a_4, s_4, t_5, b_3
  16. Polygon(B_3, U_3, V_3, C_3) → poly19, b_4, u_4, v_4, c_3
  17. Polygon(C_3, W_3, Z_3, D_3) → poly20, c_4, w_4, z_4, d_3
  18. Polygon(D_3, B_4, A_4, E_3) → poly21, d_1, b_5, a_5, e_3
  19. IterationList(f, A2, f_1 - 1) → list2
  20. IterationList(g, A3, f_2 - 1) → list3
  21. IterationList(h, A4, f_3 - 1) → list4
  22. IterationList(i, A5, f_4 - 1) → list5
  23. IterationList(j, A6, f_5 - 1) → list6
  24. IterationList(k, A7, f_6 - 1) → list7
  25. IterationList(l, A8, f_7 - 1) → list8
  26. IterationList(m, A9, f_8 - 1) → list9
  27. IterationList(n, A10, f_9 - 1) → list10
  28. IterationList(o, A11, f_10 - 1) → list11
  29. Join({list2, list3, list4, list5, list6, list7, list8, list9, list10, list11}) → list12
  30. Median(list12) → MEDIAN
  31. Polygon(U_2, L_1, M_1, V_2) → poly3, u_6, l_1, m_1, v_5
  32. Polygon(V_2, N_1, O_1, W_2) → poly4, v_6, n_1, o_1, w_5
  33. Distance(M, E) → ME
  34. Mode(list12) → MODE
  35. Distance(M, O) → MO
  36. Mean(list12) → MEAN
  37. Distance(R, A) → RA
  38. Q1(list12) → LQ
  39. Q3(list12) → UQ
  40. Distance(I_4, Q) → IQ
  41. SD(list12) → SD
  42. OrthogonalLine(MOVE, yAxis) → p_4
  43. Distance(S, T) → ST
  44. Intersect(e_1, yAxis) → F_3
  45. Polygon(T_2, L, K_1, U_2) → poly2, t_6, l_5, k_1, u_5
  46. Polygon(S_2, H_1, I, T_2) → poly22, s_5, h_1, i_1, t_7
  47. Segment(D_2, B_1) → c
  48. Segment(B_1, C_1) → d
  49. Segment(C_1, D_1) → a_1
  50. Segment(D_1, E_1) → b_1
  51. Segment(E_1, F_1) → c_1
  52. Segment(F_1, G_1) → g_1
  53. Segment(G_1, E_2) → j_1
  54. Segment(E_2, F_2) → d_2
  55. Segment(F_2, G_2) → e_2
  56. Segment(G_2, H_2) → g_2
  57. Segment(H_2, A_1) → g_5
  58. Segment(K, H) → e
  59. Segment(H, J_3) → h_2
  60. Segment(J_3, L_3) → i_2
  61. Segment(L_3, N_3) → k_2
  62. Segment(N_3, P_3) → l_2
  63. Segment(P_3, R_3) → m_2
  64. Segment(R_3, T_3) → n_2
  65. Segment(T_3, V_3) → d_4
  66. Segment(V_3, Z_3) → e_4
  67. Segment(Z_3, A_4) → g_4
  68. Stretch(S_2, xAxis, 2) → I_1
  69. Stretch(H_1, xAxis, 2) → J_1
  70. Stretch(I, xAxis, 2) → I'
  71. Stretch(T_2, xAxis, 2) → E_4
  72. Stretch(S_2, xAxis, v) → F_4
  73. Stretch(H_1, xAxis, v) → G_4
  74. Stretch(I, xAxis, v) → I'_1
  75. Stretch(T_2, xAxis, v) → H_4
  76. Stretch(T_2, xAxis, v) → J_4
  77. Stretch(L, xAxis, v) → L'
  78. Stretch(K_1, xAxis, v) → K_4
  79. Stretch(U_2, xAxis, v) → L_4
  80. Stretch(S_2, xAxis, v) → M_4
  81. Stretch(G_3, xAxis, v) → N_4
  82. Stretch(H_3, xAxis, v) → O_4
  83. Stretch(T_2, xAxis, v) → P_4
  84. Polygon(M_4, N_4, O_4, P_4) → poly12', m_5, n_5, o_4, p_5
  85. Stretch(T_2, xAxis, v) → Q_4
  86. Stretch(I_3, xAxis, v) → R_4
  87. Stretch(J_3, xAxis, v) → S_4
  88. Stretch(U_2, xAxis, v) → T_4
  89. Polygon(Q_4, R_4, S_4, T_4) → poly13', q_4, r_5, s_6, t_8
  90. Stretch(U_2, xAxis, v) → U_4
  91. Stretch(K_3, xAxis, v) → V_4
  92. Stretch(L_3, xAxis, v) → W_4
  93. Stretch(V_2, xAxis, v) → Z_4
  94. Polygon(U_4, V_4, W_4, Z_4) → poly14', u_7, v_7, w_6, z_6
  95. Stretch(V_2, xAxis, v) → A_5
  96. Stretch(M_3, xAxis, v) → B_5
  97. Stretch(N_3, xAxis, v) → C_5
  98. Stretch(W_2, xAxis, v) → D_5
  99. Polygon(A_5, B_5, C_5, D_5) → poly15', a_6, b_6, c_6, d_6
  100. Stretch(W_2, xAxis, v) → E_5
  101. Stretch(O_3, xAxis, v) → F_5
  102. Stretch(P_3, xAxis, v) → G_5
  103. Stretch(Z_2, xAxis, v) → H_5
  104. Polygon(E_5, F_5, G_5, H_5) → poly16', e_6, f_{10}, g_6, h_5
  105. Stretch(S_2, xAxis, v) → I_5
  106. Stretch(G_3, xAxis, v) → J_5
  107. Stretch(H_3, xAxis, v) → K_5
  108. Stretch(T_2, xAxis, v) → L_5
  109. Stretch(Z_2, xAxis, v) → M_5
  110. Stretch(Q_3, xAxis, v) → N_5
  111. Stretch(R_3, xAxis, v) → O_5
  112. Stretch(A_3, xAxis, v) → P_5
  113. Polygon(M_5, N_5, O_5, P_5) → poly17', m_6, n_6, o_5, p_6
  114. Stretch(A_3, xAxis, v) → Q_5
  115. Stretch(S_3, xAxis, v) → R_5
  116. Stretch(T_3, xAxis, v) → S_5
  117. Stretch(B_3, xAxis, v) → T_5
  118. Polygon(Q_5, R_5, S_5, T_5) → poly18', q_5, r_6, s_7, t_9
  119. Stretch(B_3, xAxis, v) → U_5
  120. Stretch(U_3, xAxis, v) → V_5
  121. Stretch(V_3, xAxis, v) → W_5
  122. Stretch(C_3, xAxis, v) → Z_5
  123. Polygon(U_5, V_5, W_5, Z_5) → poly19', u_8, v_8, w_7, z_7
  124. Stretch(C_3, xAxis, v) → A_6
  125. Stretch(W_3, xAxis, v) → B_6
  126. Stretch(Z_3, xAxis, v) → C_6
  127. Stretch(D_3, xAxis, v) → D_6
  128. Polygon(A_6, B_6, C_6, D_6) → poly20', a_7, b_7, c_7, d_7
  129. Stretch(D_3, xAxis, v) → E_6
  130. Stretch(B_4, xAxis, v) → F_6
  131. Stretch(A_4, xAxis, v) → G_6
  132. Stretch(E_3, xAxis, v) → H_6
  133. Polygon(E_6, F_6, G_6, H_6) → poly21', e_7, f_{11}, g_7, h_6
  134. Stretch(C_3, xAxis, v) → I_6
  135. Stretch(W_3, xAxis, v) → J_6
  136. Stretch(Z_3, xAxis, v) → K_6
  137. Stretch(D_3, xAxis, v) → L_6
  138. Polygon(I_6, J_6, K_6, L_6) → poly20'_1, i_6, j_6, k_6, l_7
  139. Stretch(H, xAxis, v) → H'
  140. Segment(K, H') → h_4
  141. Segment(H', S_4) → i_5
  142. Segment(S_4, W_4) → j_5
  143. Segment(W_4, C_5) → k_5
  144. Segment(C_5, G_5) → l_6
  145. Segment(G_5, O_5) → q_6
  146. Segment(O_5, S_5) → h_7
  147. Segment(S_5, W_5) → i_7
  148. Segment(W_5, K_6) → j_7
  149. Segment(K_6, G_6) → k_7
  150. OrthogonalLine(H', yAxis) → m_7
  151. OrthogonalLine(S_4, yAxis) → n_7
  152. OrthogonalLine(W_4, yAxis) → p_7
  153. OrthogonalLine(C_5, yAxis) → q_7
  154. OrthogonalLine(G_5, yAxis) → r_7
  155. OrthogonalLine(O_5, yAxis) → a_8
  156. OrthogonalLine(S_5, yAxis) → b_8
  157. OrthogonalLine(W_5, yAxis) → c_8
  158. OrthogonalLine(K_6, yAxis) → d_8
  159. OrthogonalLine(G_6, yAxis) → e_8
  160. Stretch(C_4, xAxis, v) → W_6
  161. Stretch(MOVE, xAxis, v) → MOVE'
  162. Vector(MOVE', W_6) → w
  163. OrthogonalLine(B_1, yAxis) → d_5
  164. OrthogonalLine(C_1, yAxis) → g_8
  165. OrthogonalLine(D_1, yAxis) → h_8
  166. OrthogonalLine(E_1, yAxis) → i_8
  167. OrthogonalLine(F_1, yAxis) → j_8
  168. OrthogonalLine(G_1, yAxis) → k_8
  169. OrthogonalLine(E_2, yAxis) → l_8
  170. OrthogonalLine(F_2, yAxis) → m_8
  171. OrthogonalLine(G_2, yAxis) → n_8
  172. OrthogonalLine(H_2, yAxis) → p_8
  173. TableText({{B15, C15}, {B16, C16}, {B17, C17}}, "|_") → text45
  174. TableText({{B19, C19, D19, E19, F19, G19}, {B20, C20, D20, E20, F20, G20}, {B21, C21, D21, E21, F21, G21}, {B22, C22, D22, E22, F22, G22}}, "|_") → text48
  175. OrthogonalLine(W_6, xAxis) → q_8
  176. Intersect(q_8, xAxis) → K_7
  177. Point(q_8) → L_7
  178. Vector(L_7, K_7) → z
  179. TableText({{A25, B25, C25, D25, E25, F25}}, "|_") → text47
  180. TableText({{C12}}, "|_") → text51
  181. Sequence(Cell[j, 1], j, 1, Fx) → list30
  182. Sequence(Cell[j, 2], j, 1, Fx) → list31
  183. Sequence(Cell[j, 3], j, 1, Fx) → list32
  184. Sequence(Cell[j, 4], j, 1, Fx) → list33
  185. Sequence(Cell[j, 5], j, 1, Fx) → list34
  186. Sequence(Cell[j, 6], j, 1, Fx) → list35
  187. Sequence(Cell[j, 7], j, 1, Fx) → list36
  188. Sequence(Cell[j, 8], j, 1, Fx) → list37
  189. Sequence(Cell[j, 9], j, 1, Fx) → list38
  190. Sequence(Cell[j, 10], j, 1, Fx) → list39
  191. Sequence(Cell[j, 11], j, 1, Fx) → list40
  192. TableText({list30, list31, list32, list33, list34, list35, list36, list37, list38, list39, list40}, "c_|") → text52
  193. TableText({{B12}}, "|_") → text50
  194. TableText({{A27, B27}, {A28, B28}}, "|_") → text54
  195. TableText({{D15, E15}, {D16, E16}, {D17, E17}}, "|_") → text24
  196. SampleSD(list12) → samplesd

AI Drawing Prompt Reference

Draw a set of statistical graphics for a dataset, including median, mode, mean, quartiles, and standard deviation. Start by plotting the data points, then calculate and mark the positions of median, mode, mean, quartiles, and standard deviation, and finally use polygons to connect these points and show the distribution characteristics of the data.
The prompt above was compiled from the original drawing commands and is for reference only.