Question

Asked Jan 15, 2019

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When interpreting a standard deviation how do I know whether its an empirical rule or Chebychev? The number of standard deviations? and how would I compute that?

Step 1

Empirical Rule : It states about the spread of the data in a normal distribution when mean and standard deviation are given. It states that with in one standard deviation from mean 68% of data lie, with in two standard deviations from mean 95% of data lie and with in three standard deviations from mean 99.7% of data lie.

Chebyshev's Rule: It states that at least 1- 1/k^{2 }of the data lie with in k standard deviations of the mean, where k is any positive whole number greater than 1.

Step 2

Empirical rule can be used only when we know that the given data has a normal distribution ...

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