Central limit theorem

Practicing Statistics Interview Questions in R

Zuzanna Chmielewska

Actuary

Central limit theorem

The sampling distribution of the samples' means approaches a normal distribution as the samples' sizes get larger.

Practicing Statistics Interview Questions in R

Central limit theorem

the population of neighbours

Practicing Statistics Interview Questions in R

Central limit theorem

samples of size 3 from the population of neighbours

Practicing Statistics Interview Questions in R

Central limit theorem

means of the samples

Practicing Statistics Interview Questions in R

Central limit theorem

the histogram of the sampling distribution

Practicing Statistics Interview Questions in R

Central limit theorem

increase of the size of the samples and the density plot of normal distribution

Practicing Statistics Interview Questions in R

Central limit theorem

the population of neighbors pointing to a bimodal distribution

Practicing Statistics Interview Questions in R

Central limit theorem

the population of neighbors pointing to a skewed distribution

Practicing Statistics Interview Questions in R

Central limit theorem

useful for parametric tests

Practicing Statistics Interview Questions in R

central limit theorem is not equal to law of large numbers

Practicing Statistics Interview Questions in R

Law of large numbers

the mean value for a sample sized 10

Practicing Statistics Interview Questions in R

Law of large numbers

the mean value for a sample sized 100

Practicing Statistics Interview Questions in R

Law of large numbers

the mean value for a sample sized 1000

Practicing Statistics Interview Questions in R

Law of large numbers

the mean value for a sample sized 10000

Practicing Statistics Interview Questions in R

Summary

  • Central limit theorem
  • Law of large numbers
Practicing Statistics Interview Questions in R

Let's practice!

Practicing Statistics Interview Questions in R

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