Verifying the Central Limit Theorem Using Python

by Amrita Mitra | Feb 9, 2023 | Statistics For Machine Learning

Central Limit Theorem With Mean 2

Now, let’s say we roll the die 5 times. So, we will get 5 numbers. We take the mean of the five obtained numbers. And then, we repeat the experiment 1000 times. So, after the end of the experiments, we will get 1000 sample means. Please note that here we have taken 1000 random samples with sample size n = 5.

Now, we can plot the histogram of the sample means, and the histogram should look like the following:

Central Limit Theorem With Mean 5

Now, we can repeat the experiment by increasing the sample size. We can take 1000 random samples with sample size n = 10 and then, n = 20, and n = 50.

When the sample size n = 10, the histogram of the sample means looks like the following:

Central Limit Theorem With Mean 10

When the sample size n = 20, the histogram of the sample means looks like the following: …

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