From the course: Statistics Foundations 3: Using Data Sets
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The central limit theorem
From the course: Statistics Foundations 3: Using Data Sets
The central limit theorem
- The central limit theorem. Just saying those words can be a little intimidating. I mean, it sounds complicated, but it turns out it's a rather simple concept, a concept that's not only important to our world of statistics, but dare I say, it's also a concept that is rather interesting. Let's start simple, a distribution of discrete numbers. We start on the left, where we have five values of 5. We move right along our distribution, two units of 10, four units of 15, six units of 20. And on the right of our distribution, we have three values of 25. 20 different readings in our entire population. If we average out the values of our 20 different readings, we get an average of 15.0. Now, suppose we didn't want to tally up all 20 values, but we still wanted to find the average of the data set. Could we use samples to direct us to the population mean? Let's try it. I used a number randomizer to take three samples of four units…
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