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Draw a graph to illustrate the Empirical Rule utilizing the symbols μ and σ. Include standardized...

Draw a graph to illustrate the Empirical Rule utilizing the symbols μ and σ. Include standardized values and explain

what is z-score?

Math   Statistics-And-Probability   
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Answer #1

The Empirical rule for standard deviation is illustrated by diagram as:

This states that 68% of data lies within 1 standard deviation around the mean, 95% of data lies within 2 standard deviation around the mean and 99.7% of data lies within 99.7% around the mean.

This is often written as 68-95-99.7 rule.

In the image sahown above  μ is the mean and σ is the standard deviation.

Z-score is the standarized score of the dataset values and it is also number of standard deviiation values the dataset value is above or below the mean, which is calculated as:

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