Give a mathematical explanation for "Averages based on many observations vary less than averages based on a few observations." based on the Central Limit Theorem. In other words, what aspect of the CLT justifies "Averages based on many observations vary less than averages based on a few observations.", and how does that aspect justify it?

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The Answer of Give a mathematical explanation for "Averages based on many observations vary less than averages based on a few observations." based on the Central Limit Theorem. In other words, what aspect of the CLT justifies "Averages based on many observations vary less than averages based on a few observations.", and how does that aspect justify it?

Give a Mathematical Explanation for "Averages Based on Many Observations