Question

The editorial team at a research journal notices that the distribution of reviews among reviewers is highly skewed so that a small number of reviewers do most of the reviews while a larger number of reviewers each do very few reviews. The distribution looks like a decaying power curve. If the editors take 200 samples, each having 30 reviewers and plot the histogram of the reviews done by them: *​

Answer 1

When the reviewers plot the histogram, the distribution will tend to look like a normal curve because of the law of the central limit theorem.

What is a normal curve?

It should be noted that a normal curve simply means a continuous probability distribution that is symmetrical on the sides of the mean.

In this case, when reviewers plot the histogram, the distribution will tend to look like a normal curve because of the law of the central limit theorem.

According to the theorem, when the sample size is at least 30, then the distribution of the sample mean will be approximately normal.

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