MathPlotAI Logo MathPlotAI

Normal Distribution Symmetry Demonstration

Normal Distribution Symmetry Demonstration
Loading the math board and drawing, please wait…
2016-03-04 01:22
FunctionCalculusProbability & StatisticsSlider AnimationGraphing
This example demonstrates the symmetry of the normal distribution about its mean. It involves core math concepts like normal distribution, symmetry, mean, and standard deviation. Constructed using GeoGebra commands/objects such as Line, Ray, CurveCartesian, and Sequence. Suitable for high school and above students to understand properties of normal distribution in probability and statistics.

GeoGebra Commands & Parameters

  1. Line(R, T) → rfln
  2. Ray(R, S) → b
  3. CurveCartesian(a + ((t - a) * cos((-α))), ((0.1 * (t - a)) * sin((-α))) + f(t), t, a, 50) → g
  4. Line((0, 0), (50, 0)) → HAx
  5. Sequence(Segment[(k, 0), (k, -0.01)], k, 20, 30) → TkSq
  6. Sequence(Text[k, (k - 0.085, -0.04)], k, 20, 30) → LbSq