Question

the grades on a math exam were roughly normally distributed with an average of 70 and standard deviation of 6. terry scored a 71 on the exam. find the z - score for terrys exam grade. round to two decimal places as needed. show your work here enter your answer

Explanation:

Step1: Recall z - score formula

The z - score formula is $z=\frac{x-\mu}{\sigma}$, where $x$ is the data point, $\mu$ is the mean, and $\sigma$ is the standard deviation.

Step2: Identify values

We have $x = 71$, $\mu=70$, and $\sigma = 6$.

Step3: Substitute values into formula

$z=\frac{71 - 70}{6}=\frac{1}{6}\approx0.17$

Answer:

$0.17$