A recent math test had an average score of 75, with a standard deviation of 10. What percentage of people scored an 85 or higher?16%34%50%, 13.5%

A recent math test had an average score of 75 with a standard deviation of 10 What percentage of people scored an 85 or higher163450 135 class=

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Answer:

16%.

Explanation:

In a recent math test:

• The average score = 75

,

• Standard Deviation = 10

To find: The percentage of people who scored an 85 or higher, P(X>85).

First, find the z-score when X=85.

[tex]z-score=\frac{X-\mu}{\sigma}[/tex]

Substitute the given values:

[tex]z=\frac{85-75}{10}=\frac{10}{10}=1[/tex]

The people who scored an 85 or higher are 1 standard deviation away from the mean.

[tex]13.5\%+2.35\%+0.15\%=16\%[/tex]

The percentage of people who scored an 85 or higher is 16%.