Central Limit Theorem Calculator
Explore the Central Limit Theorem with our interactive calculator. Visualize how sample means from different distributions converge to a normal distribution.
Distribution of Sample Means
About Central Limit Theorem (CLT)
The Central Limit Theorem (CLT) is a fundamental concept in statistics. It states that the distribution of the sample means of a sufficiently large number of independent and identically distributed random variables, regardless of the original distribution's shape, will approximate a normal distribution. This theorem is crucial because it allows us to make inferences about the population mean based on sample means, even when we don\'t know the population's distribution.
This tool visually demonstrates the CLT. By choosing different population distributions and sample parameters, you can observe how the distribution of sample means tends towards a normal distribution as the number of samples increases. Experiment with different settings to deepen your understanding of this powerful theorem.