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2 years ago

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

Mathematics

1 answer:

AlexFokin [52]2 years ago

3 0

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.

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