Mean, Variance, and Standard Deviation of Continuous R.V.

Mean, Variance, and Standard Deviation of Continuous R.V.
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2020-04-02 00:16
This example demonstrates the calculation and visualization of mean, variance, and standard deviation for continuous random variables. Key math concepts include continuous random variables from probability statistics, expected value (mean), variance, and standard deviation. GeoGebra commands used are NIntegral (numerical integration) and objects like f (probability density function), a, b (integration bounds), μ (mean), V (variance), σ (standard deviation), and standDev (standard deviation display). Suitable for high school students and learners interested in probability statistics.

GeoGebra Commands & Parameters

  1. NIntegral((x * f(x)), a, b) → μ
  2. NIntegral(((x - μ)^(2) * f(x)), a, b) → V