Question

if michaels score is 87, the class average is 82, and the standard deviation is 4. what is michaels z-score?

Answer 1

Answer:

Z = 1.25

Step-by-step explanation:

$\displaystyle Z=\frac{\text{Observed Value}-\text{Mean of the Sample}}{\text{Standard Deviation of the Sample}}\\\\Z=\frac{x-\mu}{\sigma}\\ \\Z=\frac{87-82}{4}\\ \\Z=\frac{5}{4}\\ \\Z=1.25$

Hence, Michael's z-score is 1.25, which means that he scored 1.25 standard deviations above the class average.