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In a normally distributed data set a mean of 31 where 99.7% of the data fall between 16.6 and 45.4, what would be the standard

In a normally distributed data set a mean of 31 where 99.7% of the data fall between 16.6 and 45.4, what would be the standard deviation of that data set?

7.6

4.8

9.6

8.4

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