Central Limit Theorem

Posted on April 25, 2019

Tags: statistics

1 Intro

flowchart LR StrangeDistribution_Population --> |sample 440 people| StrangeDistribution_Sample1 StrangeDistribution_Population --> |sample 237 people| StrangeDistribution_Sample2 StrangeDistribution_Population --> |sample 384 people| StrangeDistribution_Sample3 StrangeDistribution_Population --> |sample 132 people| StrangeDistribution_Sample4 StrangeDistribution_Sample1 --> |get mean|SampleMean1 StrangeDistribution_Sample2 --> |get mean|SampleMean2 StrangeDistribution_Sample3 --> |get mean|SampleMean3 StrangeDistribution_Sample4 --> |get mean|SampleMean4 SampleMean1 --> |plot on graph CLT|SampleMeanDistribution_graphCLT SampleMean2 --> |plot on graph CLT|SampleMeanDistribution_graphCLT SampleMean3 --> |plot on graph CLT|SampleMeanDistribution_graphCLT SampleMean4 --> |plot on graph CLT|SampleMeanDistribution_graphCLT

SampleMeanDistribution_CLT aka graph CLT, will start to resemble a normal distribution.

CLT DOES NOT tell us that the sample distribution is Normal
- In fact the sample distribution likely resembles the population distribution.
CLT DOES tell us as that the sample Mean distribution is Normal
- The sample mean distribution is when you plot {sampleMean1, sampleMean2, sampleMean3,…} on a graph (graph CLT in example above)