Question

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

Answer 1

Z = 1.25

Explanation:

`\displaystyle Z=\frac{\text{Observed Value}-\text{Mean of the Sample}}{\text{Standard Deviation of the Sample}}\\\\Z=(x-\mu)/(\sigma)\\ \\Z=(87-82)/(4)\\ \\Z=(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.