Simple Monte Carlo Sampling Demonstration

A demonstration calculator that generates random samples from a normal distribution and shows the sample mean, standard deviation and histogram convergence. Illustrative only.

Probabilistic & Reliability4 min read

calculatorMonte Carlosamplingdemonstrationnormal

Calculator

For N samples from N(mu, sigma^2):

  x_i = mu + sigma * z_i   where z_i ~ N(0,1)

  Sample mean:     x_bar = (1/N) * sum(x_i)
  Sample std:      s = sqrt((1/(N-1)) * sum((x_i - x_bar)^2))
  Standard error:  SE = s / sqrt(N)

Enter mu, sigma and N to generate samples and compute statistics.
This is an illustrative demonstration — not for engineering decisions.

Assumptions

Normal distribution
Independent samples
Pseudo-random number generation

Limitations

This is a demonstration tool only. It does not perform FEA or structural analysis. For real engineering Monte Carlo, use a proper automation framework with a verified FEA model.