Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

On a standard measure of hearing ability the mean is 300 and the standard deviation is 20. What is the raw score for people whose z scores on this test are -4.5?

1 Answer

May 15, 2018

The raw score for people whose z scores on this test are -4.5 $= 210$ $=210$

Explanation:

$z = \frac{x - ¯ x}{σ}$ $z=(x-barx)/sigma$

$- 4.5 = \frac{x - 300}{20}$ $-4.5=(x-300)/20$

$\frac{x - 300}{20} = - 4.5$ $(x-300)/20=-4.5$

$x - 300 = - 4.5 \times 20 = - 90$ $x-300=-4.5 xx 20=-90$

$x = - 90 + 300 = 210$ $x=-90+300=210$

$x = 210$ $x=210$

The raw score for people whose z scores on this test are -4.5 $= 210$ $=210$

Related questions

See all questions in Mean and Standard Deviation of a Probability Distribution

Impact of this question

1849 views around the world

You can reuse this answer
Creative Commons License