Question

Using the rules of standard deviation, if a value is with in standard deviation of the mean then it is 68% likely to occur. If data is standard deviations of the mean it might be considered a new discovery or incredibly rare.

Answer 1

When a value is 68% likely to occur, then it is 1 standard deviation from the mean. If data is incredibly rare, then it will be 0 standard deviations from the mean.

What is the empirical rule?

This is a rule that predicts the percentage of values the further you go from the mean. 1 standard deviation from the mean would have 68% of the values.

The further you go from the mean, the higher the percentage of values that will be seen such that 3 standard deviations from the mean has 99% of values.

A 0 standard deviation from the mean is incredibly rare and points to identical values which isn't realistic and is why such discoveries would be considered new.

In conclusion, this is 0 standard deviation.

Find out more on the empirical rule at brainly.com/question/16811285

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