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Chebychev's Theorem and Empirical Rule

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If we are dealing with non-normal data we use Chebychev's Theorem. While not as precise, it does provide some level of utility. If we use Chebychev, how many standard deviations do we have to go out from the mean, in order to approach roughly the same level of precision provided by plus or minus two SDs under the Empirical Rule.

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This solution helps with a problem regarding Chebychev's Theorem and the Empirical Rule.

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According to the Empirical Rule, about 95% of the values are within two standard deviations from the mean.

According to Chebychev's Theorem, at least ...

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Anwesha Ghosh, MSc
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  • MSc, Osmania University
  • MSc, Indian Institute of Technology - Roorkee (I.I.T.-ROORKEE)
  • BSc, Banaras Hindu University
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