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Estimating Mean from a Frequency Table

Estimating Mean from a Frequency Table
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2017-05-24 19:59
Coordinate GeometryProbability & StatisticsGeometric Construction
In collections Resources for New A-level Maths Spec
This example demonstrates how to calculate the actual mean from a frequency table by asking students to measure and input their hand-spans in millimeters. It covers frequency distribution, mean calculation, and data processing. Key GeoGebra commands used include Sort, CountIf, Sequence, Sum, Join, Mean, TableText, and Polygon. Suitable for middle school and above, focusing on statistics and data analysis education.

GeoGebra Commands & Parameters

  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 Drawing Prompt Reference

Create a frequency distribution table showing data ranges and counts, calculate the mean, and represent the data distribution with polygons. Start by plotting data points and range lines, then connect them to form polygons, and finally label the mean and frequency information.
The prompt above was compiled from the original drawing commands and is for reference only.