# On a standard measure of hearing ability the mean is

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 260?
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Kaitlynn Noble
Explanation:
Using the formula $z=\frac{x-\stackrel{―}{x}}{s}$ where x is the data point you're evaluating, $\stackrel{―}{x}$ is the mean of the data set, and s is the sample standard deviation, we plug in the numbers were given to get:
$z=\frac{260-300}{20}=-2$
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primenamaqm
Z score for someone with 260:
It is simply how many units of "20" the persion deviates from the mean "300". The person who scores 260 deviates two standard deviations of "20" from the mean.
$\frac{260-300}{20}=-2$