"On a standard measure of hearing ability the..." was answered by our experts

Jaeden Frederick Answered2022-01-27

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?

Answer & Explanation

lilwhitelieyc Expert2022-01-28Added 10 answers

You can find the z-score using the formula

z = \frac{x - μ}{σ}

Hence for x=310 ,u=300, sigma=20 we have that

z = \frac{310 - 300}{20} = \frac{10}{20} = \frac{1}{2}

enveradapb

Expert

2022-01-29Added 13 answers

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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