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Arithmetic Mean of Discrete Data (1)

Arithmetic Mean of Discrete Data (1)
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2020-08-31 00:04
SequenceProbability & StatisticsGraphing
This example demonstrates the calculation and visualization of the arithmetic mean for discrete data, using a table-based layout to show values and their corresponding frequencies. Core mathematical concepts include discrete data, frequency distribution, arithmetic mean, summation, and measures of central tendency. The construction relies on GeoGebra commands such as Element, Sum, TableText, and Textfield, together with objects including text1, A1–C1, marks, Freq, A2–C8, A9–C9, text2, and A11–H11, enabling dynamic data referencing, summation, and on-screen text display. It is suitable for middle school and high school probability and statistics instruction, as well as introductory data analysis and classroom demonstrations.

GeoGebra Commands & Parameters

  1. Element(marks, 1) → A2
  2. Element(marks, 2) → A3
  3. Element(marks, 3) → A4
  4. Element(marks, 4) → A5
  5. Element(marks, 5) → A6
  6. Element(marks, 6) → A7
  7. Element(marks, 7) → A8
  8. Element(Freq, 1) → B2
  9. Element(Freq, 2) → B3
  10. Element(Freq, 3) → B4
  11. Element(Freq, 4) → B5
  12. Element(Freq, 5) → B6
  13. Element(Freq, 6) → B7
  14. Element(Freq, 7) → B8
  15. Sum(C2:C8) → C9
  16. Sum(B2:B8) → B9
  17. TableText({{A1, B1, C1}, {A2, B2, C2}, {A3, B3, C3}, {A4, B4, C4}, {A5, B5, C5}, {A6, B6, C6}, {A7, B7, C7}, {A8, B8, C8}, {A9, B9, C9}}, "|_lll") → text2
  18. Element(marks, 1) → B11
  19. Element(marks, 2) → C11
  20. Element(marks, 3) → D11
  21. Element(marks, 4) → E11
  22. Element(marks, 5) → F11
  23. Element(marks, 6) → G11
  24. Element(marks, 7) → H11
  25. Element(Freq, 1) → B12
  26. Element(Freq, 2) → C12
  27. Element(Freq, 3) → D12
  28. Element(Freq, 4) → E12
  29. Element(Freq, 5) → F12
  30. Element(Freq, 6) → G12
  31. Element(Freq, 7) → H12
  32. TableText({{A11, B11, C11, D11, E11, F11, G11, H11}, {A12, B12, C12, D12, E12, F12, G12, H12}}, "|_llllllll") → text3
  33. Textfield(marks) → InputBox1
  34. Textfield(Freq) → InputBox2

AI Drawing Prompt Reference

Draw a demonstration of the arithmetic mean for discrete data using two tables. The left table is vertical with three columns—value, frequency, and value times frequency—for seven data rows, and shows the sum of frequencies and the sum of products at the bottom. The right table is horizontal, with the seven values in the first row and their frequencies in the second row. Below the tables, provide two editable input boxes, one for the list of values and one for the list of frequencies, so the user can change the data and see the sums update automatically.
The prompt above was compiled from the original drawing commands and is for reference only.