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Normal Distribution Demo by Steve Phelps

Normal Distribution Demo by Steve Phelps
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2017-03-05 22:03
FunctionCalculusProbability & StatisticsGeometric Construction
This example demonstrates the normal distribution curve and its related properties. It involves core math concepts like normal distribution, root, median value, triangles, integral calculus, and fractions. The construction uses GeoGebra commands Normal, Segment, and Mirror. Suitable for STAT 1034 probability & statistics courses or related math education.

GeoGebra Commands & Parameters

  1. Normal(m, s, x) → f
  2. Segment((m, 0), (m, f(m))) → g
  3. Segment((m + s, 0), (m + s, f(m + s))) → h
  4. Mirror(h, g) → h'
  5. Segment((m + (2 * s), 0), (m + (2 * s), f(m + (2 * s)))) → i
  6. Mirror(i, g) → i'

AI Drawing Prompt Reference

Draw a normal distribution curve centered at mean m with standard deviation s. First, draw the curve f, then draw two vertical segments g and h from m and m+s on the x-axis, mirror h to g to get h', and finally draw a vertical segment i from m+2s on the x-axis and mirror it to g to get i'.
The prompt above was compiled from the original drawing commands and is for reference only.