Central Limit Theorem in Action | Visualizing Sampling Distributions

🎓 Full Course HERE 👉: https://sds.courses/ds-ba-statistics Watch the Central Limit Theorem come to life in this hands-on tutorial using an interactive simulator! In this video, we walk through how sampling distributions evolve from any population shape into a normal distribution as sample size increases. Using a fantastic tool from onlinestatbook.com, you'll see how the sample mean behaves and how both mean and standard deviation are affected by the size of your samples. Learn key insights like: Why sample size matters How the shape of the original population doesn't affect the end result The relationship between standard deviation and sample size 🎓 Simulator Used: https://onlinestatbook.com/stat_sim/sampling_dist/index.html 📚 Course Link: https://sds.courses/ds-ba-statistics 🔗 You can also find us here: Website: https://www.superdatascience.com/ LinkedIn: https://www.linkedin.com/company/superdatascience/ Contact: [email protected] ⏱️ Chapters: 00:00 – Introduction & Objective of the Tutorial 00:30 – Central Limit Theorem Simulator Overview 01:00 – Drawing a Custom Distribution 01:35 – Taking Random Samples & Calculating Sample Means 02:15 – Building the Sampling Distribution 03:05 – Verifying Sample Mean and Standard Deviation 04:00 – Effects of Small Sample Size (n = 2) 05:00 – Comparing n = 5 vs. n = 10 Samples 06:00 – Visual Impact of Large Sample Size (10,000+ Samples) 07:15 – Sample Size vs. Distribution Width 08:15 – Summary & Key Takeaways 🧠 Hashtags: #CentralLimitTheorem #Statistics #DataScience #SamplingDistribution #NormalDistribution #DataVisualization #StatisticalSimulation #CLTExplained #LearnStatistics #MathInAction