Central Limit Theorem Demo

Configuration


Population Distribution (drag mouse)

{{ x * 50 }}
{{ x * 50 }}
Size \(N\) {{ size(values) }}
Mean \(\mu\) {{ mean(values).toFixed(2) }}
Variance \(\sigma^2\) {{ vari(values).toFixed(2) }}
SD \(\sigma\) {{ sd(values).toFixed(2) }}

Sample Distribution

{{ x * sampTick }}
{{ x * 50 }}
Size \(n\) {{ size(sample) }}
Mean \(\bar{x}\) {{ mean(sample).toFixed(2) }}
Variance \(s^2\) {{ vari(sample).toFixed(2) }}
SD \(s\) {{ sd(sample).toFixed(2) }}

Distribution of Sample Means

{{ x * sdmTick }}
{{ x * 50 }}
Size {{ size(sdm) }}
Mean \(\mu_{\bar{x}}\) {{ mean(sdm).toFixed(2) }}
Variance \(\sigma_{\bar{x}}^2\) {{ vari(sdm).toFixed(2) }}
SD \(\sigma_{\bar{x}}\) {{ sd(sdm).toFixed(2) }}

Central Limit Theorem Demo by Oliver Ni. View on GitHub