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Statistics (The Empirical Rule vs. Chebyshev's Theorem)

How does the Empirical Rule work and how does it relate to the bell curve as illustrated in Figure 3.14 (a)? Then, explain Chebyshev's Theorem and how it is different from the Empirical Rule. Give a specific example of a population with which the Empirical Rule might be most effective and one with which Chebyshev's Theorem might be most effective.

Please take a look at the attached document for a description on the Empirical Rule.


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The Empirical Rule is a rule in statistics that says for a normal distribution, most of all of the data will land between three standardized, yet different, deviations from their mean. What the empirical rule does it, it displays that 68% of the information will fall inside the first standard deviation, that about 95% of the data will fall ...