Question

On a standardized exam, the scores are normally distributed with a mean of 250 and

a standard deviation of 50. Find the 2-score of a person who scored 375 on the exam.

Answer 1

Answer: 2

Explanation:

z=\frac{x-\mu}{\sigma}

z=

σ

x−μ

​

z-score formula

z=\frac{300-250}{25}

z=

25

300−250

​

Plug in values

z=\frac{50}{25}

z=

25

50

​

Subtract

z=2

z=2

Divide

\text{They scored 2 standard deviations above the mean.}

They scored 2 standard deviations above the mean.

Answer 2

the z-score is within 3

Explanation:

first you got to take the standard deviation and add it to the mean since 375 is greater than 250. so the equastion would be

250+50=300+50=350+50=40

so the z-score for the value of 375 is within 3