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Histogram Warm-Up Exercises

Histogram Warm-Up Exercises
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2022-02-17 00:45
Probability & StatisticsGeometric ConstructionGraphing
This example demonstrates how to construct a histogram using GeoGebra to visualize data distribution. Core math concepts include statistics (data grouping, frequency distribution) and geometric construction (polygons). The construction summary highlights the use of Polygon command and objects like a, b, c, etc., for bar definition and labeling. Suitable for middle school students and above for learning basic statistics and data visualization, or as a teaching demonstration tool.

GeoGebra Commands & Parameters

  1. Polygon((0, 0), (10, 0), (10, y(A)), (0, y(A))) → q1, i, m, n, p
  2. Polygon((10, 0), (20, 0), (20, y(B)), (10, y(B))) → q2, q, r, s, t
  3. Polygon((20, 0), (30, 0), (30, y(C)), (20, y(C))) → q3, f_1, g_1, h_1, i_1
  4. Polygon((30, 0), (40, 0), (40, y(D)), (30, y(D))) → q4, j_1, k_1, l_1, m_1
  5. Polygon((40, 0), (50, 0), (50, y(E)), (40, y(E))) → q5, n_1, p_1, q_1, r_1
  6. Polygon((50, 0), (60, 0), (60, y(F)), (50, y(F))) → q6, s_1, t_1, b_1, c_1
  7. Polygon((60, 0), (70, 0), (70, y(G)), (60, y(G))) → q7, d_1, e_1, f_2, g_2
  8. Polygon((70, 0), (80, 0), (80, y(H)), (70, y(H))) → q8, h_2, i_2, j_2, k_2
  9. Polygon((80, 0), (90, 0), (90, y(I)), (80, y(I))) → q9, l_2, m_2, n_2, p_2
  10. Polygon((90, 0), (100, 0), (100, y(J)), (90, y(J))) → q10, q_2, r_2, s_2, t_2

AI Drawing Prompt Reference

Create a histogram-style warm-up figure on a coordinate plane using several adjacent rectangles. Use the x-axis as the bottom edge. Split the horizontal range into consecutive intervals 0–10, 10–20, …, 90–100. For each interval, draw a closed rectangle whose four corners are (left endpoint, 0), (right endpoint, 0), (right endpoint, y of the corresponding value), and (left endpoint, y of the corresponding value). Set the top heights to y(A), y(B), …, y(J) for the respective intervals. Build them from left to right, starting with 0–10, then 10–20, and continue until 90–100.
The prompt above was compiled from the original drawing commands and is for reference only.