About the Project

This project validates the Central Limit Theorem using Height data from the Height-Weight dataset. The study includes sampling, computation of sample means, and visualization of sampling distributions for different sample sizes. 

Conclusion :

Conclusion: As sample size increases, the sampling distribution of the sample mean becomes closer to a normal distribution and the empirical mean approaches the population mean. The standard deviation of sample means decreases roughly by the factor confirming the Central Limit Theorem. 

Files - drive.google.com/file/d/1JKdIFQEzv0noXO_LGetnCQQvPZoWsawd/view?usp=sharing 

Used Data File- drive.google.com/file/d/1pNMfZgmG3aAet5J98gplwXP5_IePEAuG/view?usp=sharing