In a normally distributed data set a mean of 31 where 95% of the data fall between 27.4 and 34.6, what would be the standard deviation of that data set?

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Answer to a math question In a normally distributed data set a mean of 31 where 95% of the data fall between 27.4 and 34.6, what would be the standard deviation of that data set?

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using empirical rule, 95% falls within 2 sd from the mean 31 - 27.4 = 3.6 3.6/2 = 1.8 sd = 1.8

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