# 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?

##### 1 Answer
Nov 10, 2015

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

#### Explanation:

Just use the formula $z = \frac{x - \mu}{\sigma}$ to get $z = \frac{84 - 73}{8} = \frac{11}{8} = 1.375$. That's how many standard deviations 84 is above the mean of 73.