A set of final examination grades in an introductory statistics course is normally distributed, with a mean of 73 and a standard deviation of 8. How many standard deviations from the mean is a score of 84?

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Answer 1 · 2015-11-10T03:10:34

A score of 84 is 1.375 standard deviations above the mean.

Just use the formula #z=(x-mu)/sigma# to get #z=(84-73)/8=11/8=1.375#. That's how many standard deviations 84 is above the mean of 73.