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Normal Distribution by jaredwarner4

Normal Distribution by jaredwarner4
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2017-03-18 03:53
FunctionCalculusProbability & Statistics
This example demonstrates the normal distribution probability density function. It involves key mathematical concepts such as mean and standard deviation. Using GeoGebra commands like Point, Segment, IntegralBetween, etc., users can dynamically adjust the mean and standard deviation to observe their effects on the normal distribution curve. Suitable for high school and above students to learn probability and statistics.

GeoGebra Commands & Parameters

  1. Point(xAxis) → Mean
  2. Point(xAxis) → A
  3. Point(xAxis) → StdDev
  4. Point(xAxis) → B
  5. Segment(A, C) → g
  6. Segment(B, D) → h
  7. IntegralBetween(f, 0, mu - (5 * sigma), x(A)) → Left
  8. IntegralBetween(f, 0, x(A), x(B)) → Between
  9. Textfield(muset) → InputBox1
  10. Textfield(sigmaset) → InputBox2
  11. IntegralBetween(f, 0, x(B), mu + (5 * sigma)) → Right
  12. Vector(E, F) → u
  13. Vector(F, G) → v
  14. Vector(G, H) → w
  15. Vector(H, I) → a
  16. Vector(I, J) → b
  17. Vector(E, K) → c
  18. Vector(K, L) → d
  19. Vector(L, M) → e
  20. Vector(M, N) → i
  21. Vector(N, O) → j
  22. Vector(E, F) → m
  23. Segment((x(Mean), ((-ymin)) / 8), (x(StdDev), ((-ymin)) / 8)) → k
  24. Segment((x(Mean), (-5 * ymin / 32)), (x(Mean), (-3 * ymin / 32))) → l
  25. Segment((x(StdDev), (-5 * ymin / 32)), (x(StdDev), (-3 * ymin / 32))) → n

AI Drawing Prompt Reference

Draw a normal distribution curve and adjust its position and shape by dragging the mean point Mean and the standard deviation point StdDev. First, create the mean point Mean on the x-axis, then create the standard deviation point StdDev. Next, draw line segments g and h for the mean and standard deviation, calculate and display the integrals to the left of the mean, between the mean and standard deviation, and to the right of the mean. Finally, draw auxiliary lines k, l, and n for the mean and standard deviation, and line segments m for indicating the mean and standard deviation.
The prompt above was compiled from the original drawing commands and is for reference only.