How Standard Deviation Shapes the Normal Curve

How Standard Deviation Shapes the Normal Curve
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2012-09-25 22:25
This example demonstrates how standard deviation influences the shape of a normal distribution curve. Key math concepts include normal distribution, standard deviation, and curve sketching. It is constructed using GeoGebra's Intersect and Segment commands, with objects like σ (standard deviation), μ (mean), h (height), and a, A, B, b for interactive exploration. Suitable for high school students and math enthusiasts studying probability & statistics and calculus.

GeoGebra Commands & Parameters

  1. Intersect(h, a, (2.3, 0.997370408612152)) → A
  2. Intersect(a, xAxis) → B
  3. Segment(B, A) → b