Jaeden Frederick

2022-01-27

On a standard measure of hearing ability the mean is 300 and the standard deviation is 20. What is the z-score for a person who scores 310?

lilwhitelieyc

Expert

You can find the z-score using the formula
$z=\frac{x-\mu }{\sigma }$
Hence for x=310 ,u=300, sigma=20 we have that
$z=\frac{310-300}{20}=\frac{10}{20}=\frac{1}{2}$

Expert

Z score for someone with 310:
It is simply how many units of "20" the persion deviates from the mean "300". The person who scores 310 deviates two standard deviations of "20" from the mean.
$\frac{310-300}{20}=0.5$

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